var bibbase_data = {"data":"<img src=\"//bibbase.org/img/ajax-loader.gif\" id=\"spinner\"\n  style=\"display: none;\" alt=\"Loading..\" />\n\n<div id=\"bibbase\">\n\n  <script type=\"text/javascript\">\n    var bibbase = {\n      params: {\"bib\":\"http://www.michaelbeeson.com/research/papers/beeson.bib\",\"jsonp\":\"1\",\"token\":\"cfe0f11a8b7e4e458afef1b57fd0e8c7\",\"host\":\"bibbase.org\",\"ssl\":false},\n      data: [{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2021-07-21 14:25:57 -0700\",\"date-modified\":\"2021-07-21 14:28:37 -0700\",\"title\":\"The Church numbers in NF set theory\",\"url_pdf\":\"nf.pdf\",\"year\":\"2021\",\"bibtex\":\"@article{beeson2021b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2021-07-21 14:25:57 -0700},\\n\\tdate-modified = {2021-07-21 14:28:37 -0700},\\n\\ttitle = {The {C}hurch numbers in {N}{F} set theory},\\n\\turl_pdf = {nf.pdf},\\n\\tyear = {2021}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2021b\",\"id\":\"beeson2021b\",\"bibbaseid\":\"beeson-thechurchnumbersinnfsettheory-2021\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/nf.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":2,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2021-03-23 13:15:55 -0700\",\"date-modified\":\"2021-03-23 14:55:22 -0700\",\"title\":\"Finite sets, mappings, cardinals, and arithmetic in intuitionistic NF\",\"url_pdf\":\"inf-basicsZML.pdf\",\"year\":\"2025\",\"bibtex\":\"@article{beeson2025,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2021-03-23 13:15:55 -0700},\\n\\tdate-modified = {2021-03-23 14:55:22 -0700},\\n\\ttitle = {Finite sets, mappings, cardinals, and  arithmetic in intuitionistic {NF}},\\n\\turl_pdf = {inf-basicsZML.pdf},\\n\\tyear = {2025}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2025\",\"id\":\"beeson2025\",\"bibbaseid\":\"beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/inf-basicsZML.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":4,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2021-03-12 08:22:28 -0800\",\"date-modified\":\"2022-07-27 11:03:24 -0700\",\"doi\":\"10.1080/00029890.2022.2069985\",\"journal\":\"The American Mathematical Monthly\",\"number\":\"7\",\"pages\":\"623-646\",\"title\":\"Euclid after computer proof-checking\",\"url_pdf\":\"euclid2020.pdf\",\"volume\":\"129\",\"year\":\"2022\",\"bibtex\":\"@article{beeson2022,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2021-03-12 08:22:28 -0800},\\n\\tdate-modified = {2022-07-27 11:03:24 -0700},\\n\\tdoi = {10.1080/00029890.2022.2069985},\\n\\tjournal = {The American Mathematical Monthly},\\n\\tnumber = {7},\\n\\tpages = {623-646},\\n\\ttitle = {{E}uclid after computer proof-checking},\\n\\turl_pdf = {euclid2020.pdf},\\n\\tvolume = {129},\\n\\tyear = {2022}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2022\",\"id\":\"beeson2022\",\"bibbaseid\":\"beeson-euclidaftercomputerproofchecking-2022\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/euclid2020.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":2,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2020-08-14 13:03:53 -0700\",\"date-modified\":\"2022-07-27 11:02:50 -0700\",\"doi\":\"10.1007/s13366-022-00649-9\",\"journal\":\"Beiträge zur Algebra und Geometrie\",\"month\":\"July\",\"title\":\"On the Notion of Equal Figures in Euclid\",\"url_pdf\":\"EqualFigures.pdf\",\"year\":\"2022\",\"bibtex\":\"@article{beeson2020,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2020-08-14 13:03:53 -0700},\\n\\tdate-modified = {2022-07-27 11:02:50 -0700},\\n\\tdoi = { 10.1007/s13366-022-00649-9},\\n\\tjournal = {{B}eitr\\\\\\\"age zur {A}lgebra und {G}eometrie},\\n\\tmonth = {July},\\n\\ttitle = {On the Notion of Equal Figures in {E}uclid},\\n\\turl_pdf = {EqualFigures.pdf},\\n\\tyear = {2022}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2020\",\"id\":\"beeson2020\",\"bibbaseid\":\"beeson-onthenotionofequalfiguresineuclid-2022\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/EqualFigures.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2019-02-28 15:08:55 -0800\",\"date-modified\":\"2021-03-23 13:15:42 -0700\",\"note\":\"Available on ArXiv\",\"title\":\"Triangle Tiling: the case $3α + 2β = π$\",\"url_pdf\":\"TriangleTiling3.pdf\",\"year\":\"2019\",\"bibtex\":\"@article{beeson-triangletiling3,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2019-02-28 15:08:55 -0800},\\n\\tdate-modified = {2021-03-23 13:15:42 -0700},\\n\\tnote = {Available on ArXiv},\\n\\ttitle = {Triangle Tiling: the case $3\\\\alpha + 2\\\\beta = \\\\pi$},\\n\\turl_pdf = {TriangleTiling3.pdf},\\n\\tyear = {2019}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson-triangletiling3\",\"id\":\"beeson-triangletiling3\",\"bibbaseid\":\"beeson-triangletilingthecase32-2019\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/TriangleTiling3.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2019-02-28 15:06:04 -0800\",\"date-modified\":\"2021-03-23 13:15:30 -0700\",\"note\":\"Available on ArXiv\",\"title\":\"Tilings of an isosceles triangle\",\"url_pdf\":\"IsoscelesTilings.pdf\",\"year\":\"2019\",\"bibtex\":\"@article{beeson-isosceles,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2019-02-28 15:06:04 -0800},\\n\\tdate-modified = {2021-03-23 13:15:30 -0700},\\n\\tnote = {Available on ArXiv},\\n\\ttitle = {Tilings of an isosceles triangle},\\n\\turl_pdf = {IsoscelesTilings.pdf},\\n\\tyear = {2019}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson-isosceles\",\"id\":\"beeson-isosceles\",\"bibbaseid\":\"beeson-tilingsofanisoscelestriangle-2019\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/IsoscelesTilings.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2019-02-28 15:04:12 -0800\",\"date-modified\":\"2021-03-23 13:15:16 -0700\",\"note\":\"Available on ArXiv\",\"read\":\"1\",\"title\":\"Tiling an equilateral triangle\",\"url_pdf\":\"TriangleTilingEquilateral.pdf\",\"year\":\"2019\",\"bibtex\":\"@article{beeson-equilateral,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2019-02-28 15:04:12 -0800},\\n\\tdate-modified = {2021-03-23 13:15:16 -0700},\\n\\tnote = {Available on ArXiv},\\n\\tread = {1},\\n\\ttitle = {Tiling an equilateral triangle},\\n\\turl_pdf = {TriangleTilingEquilateral.pdf},\\n\\tyear = {2019}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson-equilateral\",\"id\":\"beeson-equilateral\",\"bibbaseid\":\"beeson-tilinganequilateraltriangle-2019\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/TriangleTilingEquilateral.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2018-11-25 10:28:35 -0800\",\"date-modified\":\"2018-11-25 10:30:38 -0800\",\"note\":\"Available on ArXiv\",\"title\":\"No triangle can be cut into seven congruent triangles\",\"url_pdf\":\"NoSevenTiling.pdf\",\"year\":\"2018\",\"bibtex\":\"@article{beeson2019a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2018-11-25 10:28:35 -0800},\\n\\tdate-modified = {2018-11-25 10:30:38 -0800},\\n\\tnote = {Available on ArXiv},\\n\\ttitle = {No triangle can be cut into seven congruent triangles},\\n\\turl_pdf = {NoSevenTiling.pdf},\\n\\tyear = {2018}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2019a\",\"id\":\"beeson2019a\",\"bibbaseid\":\"beeson-notrianglecanbecutintosevencongruenttriangles-2018\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/NoSevenTiling.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Julien\"],\"propositions\":[],\"lastnames\":[\"Narboux\"],\"suffixes\":[]},{\"firstnames\":[\"Freek\"],\"propositions\":[],\"lastnames\":[\"Wiedijk\"],\"suffixes\":[]}],\"date-added\":\"2018-05-26 01:28:07 +0000\",\"date-modified\":\"2019-02-28 15:04:56 -0800\",\"doi\":\"10.1007/s10472-018-9606-x\",\"issn\":\"1573-7470\",\"journal\":\"Annals of Mathematics and Artificial Intelligence\",\"month\":\"January\",\"number\":\"2\",\"pages\":\"213-257\",\"title\":\"Proof-Checking Euclid\",\"url\":\"https://doi.org/10.1007/s10472-018-9606-x\",\"url_pdf\":\"ProofCheckingEuclid.pdf\",\"volume\":\"85\",\"year\":\"2019\",\"bdsk-url-1\":\"https://doi.org/10.1007/s10472-018-9606-x\",\"bibtex\":\"@article{beeson2019,\\n\\tauthor = {Michael Beeson and Julien Narboux and Freek Wiedijk},\\n\\tdate-added = {2018-05-26 01:28:07 +0000},\\n\\tdate-modified = {2019-02-28 15:04:56 -0800},\\n\\tdoi = {10.1007/s10472-018-9606-x},\\n\\tissn = {1573-7470},\\n\\tjournal = {Annals of Mathematics and Artificial Intelligence},\\n\\tmonth = {January},\\n\\tnumber = {2},\\n\\tpages = {213-257},\\n\\ttitle = {Proof-Checking {E}uclid},\\n\\turl = {https://doi.org/10.1007/s10472-018-9606-x},\\n\\turl_pdf = {ProofCheckingEuclid.pdf},\\n\\tvolume = {85},\\n\\tyear = {2019},\\n\\tbdsk-url-1 = {https://doi.org/10.1007/s10472-018-9606-x}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Narboux, J.\",\"Wiedijk, F.\"],\"key\":\"beeson2019\",\"id\":\"beeson2019\",\"bibbaseid\":\"beeson-narboux-wiedijk-proofcheckingeuclid-2019\",\"role\":\"author\",\"urls\":{\"Paper\":\"https://doi.org/10.1007/s10472-018-9606-x\",\" pdf\":\"http://www.michaelbeeson.com/research/papers/ProofCheckingEuclid.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2016-11-19 15:57:58 +0000\",\"date-modified\":\"2018-01-29 08:31:31 +0000\",\"journal\":\"Indagationes Mathematicae\",\"pages\":\"483-533\",\"title\":\"Brouwer and Euclid\",\"url_pdf\":\"BrouwerEuclid.pdf\",\"volume\":\"29\",\"year\":\"2018\",\"bibtex\":\"@article{beeson2018a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2016-11-19 15:57:58 +0000},\\n\\tdate-modified = {2018-01-29 08:31:31 +0000},\\n\\tjournal = {Indagationes Mathematicae},\\n\\tpages = {483-533},\\n\\ttitle = {{B}rouwer and {E}uclid},\\n\\turl_pdf = {BrouwerEuclid.pdf},\\n\\tvolume = {29},\\n\\tyear = {2018}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2018a\",\"id\":\"beeson2018a\",\"bibbaseid\":\"beeson-brouwerandeuclid-2018\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/BrouwerEuclid.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Larry\"],\"propositions\":[],\"lastnames\":[\"Wos\"],\"suffixes\":[]}],\"date-added\":\"2015-10-06 19:33:01 +0000\",\"date-modified\":\"2017-03-09 05:40:12 +0000\",\"journal\":\"Journal of Automated Reasoning\",\"month\":\"January\",\"number\":\"1\",\"pages\":\"181-207\",\"title\":\"Finding Proofs in Tarskian Geometry\",\"url_pdf\":\"Tarski-JAR.pdf\",\"volume\":\"58\",\"year\":\"2017\",\"bibtex\":\"@article{beeson2017a,\\n\\tauthor = {Michael Beeson and Larry Wos},\\n\\tdate-added = {2015-10-06 19:33:01 +0000},\\n\\tdate-modified = {2017-03-09 05:40:12 +0000},\\n\\tjournal = {Journal of Automated Reasoning},\\n\\tmonth = {January},\\n\\tnumber = {1},\\n\\tpages = {181-207},\\n\\ttitle = {Finding Proofs in {T}arskian Geometry},\\n\\turl_pdf = {Tarski-JAR.pdf},\\n\\tvolume = {58},\\n\\tyear = {2017}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Wos, L.\"],\"key\":\"beeson2017a\",\"id\":\"beeson2017a\",\"bibbaseid\":\"beeson-wos-findingproofsintarskiangeometry-2017\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/Tarski-JAR.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-12-13 00:01:19 +0000\",\"date-modified\":\"2015-06-04 18:20:43 +0000\",\"journal\":\"Journal of Formalized Reasoning\",\"number\":\"1\",\"pages\":\"71-99\",\"title\":\"Mixing Computations and Proofs\",\"url_pdf\":\"ProofAndComputation.pdf\",\"volume\":\"9\",\"year\":\"2016\",\"bibtex\":\"@article{beeson2016a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-12-13 00:01:19 +0000},\\n\\tdate-modified = {2015-06-04 18:20:43 +0000},\\n\\tjournal = {Journal of Formalized Reasoning},\\n\\tnumber = {1},\\n\\tpages = {71-99},\\n\\ttitle = {Mixing Computations and Proofs},\\n\\turl_pdf = {ProofAndComputation.pdf},\\n\\tvolume = {9},\\n\\tyear = {2016}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2016a\",\"id\":\"beeson2016a\",\"bibbaseid\":\"beeson-mixingcomputationsandproofs-2016\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ProofAndComputation.pdf\"},\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"LPAR-05 Workshop: Empirically Successful Automated Reasoning in Higher-Order Logic (ESHOL)\",\"date-added\":\"2014-11-17 17:39:30 +0000\",\"date-modified\":\"2014-11-17 18:05:43 +0000\",\"editor\":[{\"firstnames\":[\"Christoph\"],\"propositions\":[],\"lastnames\":[\"Benzmueller\"],\"suffixes\":[]},{\"firstnames\":[\"John\"],\"propositions\":[],\"lastnames\":[\"Harrison\"],\"suffixes\":[]},{\"firstnames\":[\"Carsten\"],\"propositions\":[],\"lastnames\":[\"Schuermann\"],\"suffixes\":[]}],\"keywords\":\"Logic, Otter\",\"note\":\"The first link leads to a slightly extended version. The second link leads to the entire workshop proceedings\",\"title\":\"Implicit and explicit typing in lambda logic\",\"url_pdf\":\"ImplicitAndExplicitTyping.pdf\",\"url_pdf2\":\"http://arxiv.org/abs/cs/0601042\",\"year\":\"2005\",\"bibtex\":\"@inproceedings{beeson2005b,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {LPAR-05 Workshop: Empirically Successful Automated Reasoning in Higher-Order Logic (ESHOL)},\\n\\tdate-added = {2014-11-17 17:39:30 +0000},\\n\\tdate-modified = {2014-11-17 18:05:43 +0000},\\n\\teditor = {Christoph Benzmueller and John Harrison and Carsten Schuermann},\\n\\tkeywords = {Logic, Otter},\\n\\tnote = {The first link leads to a slightly extended version. The second link leads to the entire workshop proceedings},\\n\\ttitle = {Implicit and explicit typing in lambda logic},\\n\\turl_pdf = {ImplicitAndExplicitTyping.pdf},\\n\\turl_pdf2 = {http://arxiv.org/abs/cs/0601042},\\n\\tyear = {2005}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Benzmueller, C.\",\"Harrison, J.\",\"Schuermann, C.\"],\"key\":\"beeson2005b\",\"id\":\"beeson2005b\",\"bibbaseid\":\"beeson-implicitandexplicittypinginlambdalogic-2005\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ImplicitAndExplicitTyping.pdf\",\" pdf2\":\"http://arxiv.org/abs/cs/0601042\"},\"keyword\":[\"Logic\",\"Otter\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Proceedings of the ESFOR workshop at IJCAR 2004\",\"date-added\":\"2014-11-17 17:33:33 +0000\",\"date-modified\":\"2014-11-17 17:37:46 +0000\",\"editor\":[{\"firstnames\":[\"Geoff\"],\"propositions\":[],\"lastnames\":[\"Sutcliffe\"],\"suffixes\":[]},{\"firstnames\":[\"Stephan\"],\"propositions\":[],\"lastnames\":[\"Schulz\"],\"suffixes\":[]},{\"firstnames\":[\"Tanel\"],\"propositions\":[],\"lastnames\":[\"Tammet\"],\"suffixes\":[]}],\"keywords\":\"Automated deduction, Otter\",\"title\":\"Otter-lambda, a theorem-prover with untyped lambda-unification\",\"url_pdf\":\"esfor.pdf\",\"year\":\"2004\",\"bibtex\":\"@inproceedings{beeson2004b,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Proceedings of the ESFOR workshop at IJCAR 2004},\\n\\tdate-added = {2014-11-17 17:33:33 +0000},\\n\\tdate-modified = {2014-11-17 17:37:46 +0000},\\n\\teditor = {Geoff Sutcliffe and Stephan Schulz and Tanel Tammet},\\n\\tkeywords = {Automated deduction, Otter},\\n\\ttitle = {Otter-lambda, a theorem-prover with untyped lambda-unification},\\n\\turl_pdf = {esfor.pdf},\\n\\tyear = {2004}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Sutcliffe, G.\",\"Schulz, S.\",\"Tammet, T.\"],\"key\":\"beeson2004b\",\"id\":\"beeson2004b\",\"bibbaseid\":\"beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/esfor.pdf\"},\"keyword\":[\"Automated deduction\",\"Otter\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Linz, Austria\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"LMCS 2002. Logic, Mathematics and Computer Science: Interactions. Symposium in Honor of Bruno Buchberger's 60th Birthday\",\"date-added\":\"2014-11-17 16:42:13 +0000\",\"date-modified\":\"2014-11-17 18:05:05 +0000\",\"editor\":[{\"firstnames\":[\"Koji\"],\"propositions\":[],\"lastnames\":[\"Nakagawa\"],\"suffixes\":[]}],\"keywords\":\"Otter, Unification, Automated deduction\",\"number\":\"RISC Technical Report 02-60\",\"publisher\":\"RISC\",\"title\":\"Solving for functions\",\"url_pdf\":\"http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf\",\"year\":\"2002\",\"bibtex\":\"@inproceedings{beeson2002b,\\n\\taddress = {Linz, Austria},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {LMCS 2002. Logic, Mathematics and Computer Science: Interactions. Symposium in Honor of Bruno Buchberger's 60th Birthday},\\n\\tdate-added = {2014-11-17 16:42:13 +0000},\\n\\tdate-modified = {2014-11-17 18:05:05 +0000},\\n\\teditor = {Koji Nakagawa},\\n\\tkeywords = {Otter, Unification, Automated deduction},\\n\\tnumber = {RISC Technical Report 02-60},\\n\\tpublisher = {RISC},\\n\\ttitle = {Solving for functions},\\n\\turl_pdf = {http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf},\\n\\tyear = {2002}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Nakagawa, K.\"],\"key\":\"beeson2002b\",\"id\":\"beeson2002b\",\"bibbaseid\":\"beeson-solvingforfunctions-2002\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf\"},\"keyword\":[\"Otter\",\"Unification\",\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-17 16:37:21 +0000\",\"date-modified\":\"2014-11-17 18:04:36 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Constructive mathematics, Logic\",\"pages\":\"228-246\",\"title\":\"Some relations between classical and constructive mathematics\",\"volume\":\"43\",\"year\":\"1978\",\"bibtex\":\"@article{beeson1978b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-17 16:37:21 +0000},\\n\\tdate-modified = {2014-11-17 18:04:36 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Constructive mathematics, Logic},\\n\\tpages = {228-246},\\n\\ttitle = {Some relations between classical and constructive mathematics},\\n\\tvolume = {43},\\n\\tyear = {1978}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1978b\",\"id\":\"beeson1978b\",\"bibbaseid\":\"beeson-somerelationsbetweenclassicalandconstructivemathematics-1978\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Constructive mathematics\",\"Logic\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Pierre\"],\"propositions\":[],\"lastnames\":[\"Boutry\"],\"suffixes\":[]},{\"firstnames\":[\"Julien\"],\"propositions\":[],\"lastnames\":[\"Narboux\"],\"suffixes\":[]}],\"date-added\":\"2014-11-15 01:23:10 +0000\",\"date-modified\":\"2015-06-25 19:08:05 +0000\",\"journal\":\"Bulletin of Symbolic Logic\",\"keywords\":\"Logic, Geometry\",\"month\":\"June\",\"number\":\"1\",\"pages\":\"111-122\",\"title\":\"Herbrand's theorem and non-Euclidean geometry\",\"url_pdf\":\"HerbrandEuclid.pdf\",\"volume\":\"21\",\"year\":\"2015\",\"bibtex\":\"@article{beeson2015c-narboux-boutry,\\n\\tauthor = {Michael Beeson and Pierre Boutry and Julien Narboux},\\n\\tdate-added = {2014-11-15 01:23:10 +0000},\\n\\tdate-modified = {2015-06-25 19:08:05 +0000},\\n\\tjournal = {Bulletin of Symbolic Logic},\\n\\tkeywords = {Logic, Geometry},\\n\\tmonth = {June},\\n\\tnumber = {1},\\n\\tpages = {111-122},\\n\\ttitle = {{H}erbrand's theorem and non-{E}uclidean geometry},\\n\\turl_pdf = {HerbrandEuclid.pdf},\\n\\tvolume = {21},\\n\\tyear = {2015}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Boutry, P.\",\"Narboux, J.\"],\"key\":\"beeson2015c-narboux-boutry\",\"id\":\"beeson2015c-narboux-boutry\",\"bibbaseid\":\"beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/HerbrandEuclid.pdf\"},\"keyword\":[\"Logic\",\"Geometry\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-15 01:21:33 +0000\",\"date-modified\":\"2015-10-08 17:57:18 +0000\",\"doi\":\"10.1016/j.apal.2015.07.006\",\"journal\":\"Annals of Pure and Applied Logic\",\"keywords\":\"Constructive mathematics, Geometry, Logic\",\"number\":\"11\",\"pages\":\"1199-1273\",\"title\":\"A constructive version of Tarski's geometry\",\"url_pdf\":\"ConstructiveTarski.pdf\",\"volume\":\"166\",\"year\":\"2015\",\"bdsk-url-1\":\"http://dx.doi.org/10.1016/j.apal.2015.07.006\",\"bibtex\":\"@article{beeson2015b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-15 01:21:33 +0000},\\n\\tdate-modified = {2015-10-08 17:57:18 +0000},\\n\\tdoi = {10.1016/j.apal.2015.07.006},\\n\\tjournal = {Annals of Pure and Applied Logic},\\n\\tkeywords = {Constructive mathematics, Geometry, Logic},\\n\\tnumber = {11},\\n\\tpages = {1199-1273},\\n\\ttitle = {A constructive version of {T}arski's geometry},\\n\\turl_pdf = {ConstructiveTarski.pdf},\\n\\tvolume = {166},\\n\\tyear = {2015},\\n\\tbdsk-url-1 = {http://dx.doi.org/10.1016/j.apal.2015.07.006}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2015b\",\"id\":\"beeson2015b\",\"bibbaseid\":\"beeson-aconstructiveversionoftarskisgeometry-2015\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ConstructiveTarski.pdf\"},\"keyword\":[\"Constructive mathematics\",\"Geometry\",\"Logic\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-15 01:19:41 +0000\",\"date-modified\":\"2016-06-08 22:16:45 +0000\",\"journal\":\"Bulletin of Symbolic Logic\",\"keywords\":\"Logic, Geometry, Constructive mathematics\",\"month\":\"March\",\"number\":\"1\",\"pages\":\"1-104\",\"title\":\"Constructive geometry and the parallel postulate\",\"url_pdf\":\"ConstructiveGeometryAndTheParallelPostulate.pdf\",\"volume\":\"22\",\"year\":\"2016\",\"bibtex\":\"@article{beeson2016b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-15 01:19:41 +0000},\\n\\tdate-modified = {2016-06-08 22:16:45 +0000},\\n\\tjournal = {Bulletin of Symbolic Logic},\\n\\tkeywords = {Logic, Geometry, Constructive mathematics},\\n\\tmonth = {March},\\n\\tnumber = {1},\\n\\tpages = {1-104},\\n\\ttitle = {Constructive geometry and the parallel postulate},\\n\\turl_pdf = {ConstructiveGeometryAndTheParallelPostulate.pdf},\\n\\tvolume = {22},\\n\\tyear = {2016}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2016b\",\"id\":\"beeson2016b\",\"bibbaseid\":\"beeson-constructivegeometryandtheparallelpostulate-2016\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryAndTheParallelPostulate.pdf\"},\"keyword\":[\"Logic\",\"Geometry\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-15 01:14:46 +0000\",\"date-modified\":\"2019-10-15 11:55:06 -0700\",\"howpublished\":\"ArXiv\",\"keywords\":\"Minimal surfaces\",\"title\":\"A real analytic Jordan curve cannot bound infinitely many relative minima of area\",\"url_pdf\":\"part3.pdf\",\"year\":\"2015\",\"bibtex\":\"@article{beeson2015,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-15 01:14:46 +0000},\\n\\tdate-modified = {2019-10-15 11:55:06 -0700},\\n\\thowpublished = {ArXiv},\\n\\tkeywords = {Minimal surfaces},\\n\\ttitle = {A real analytic {J}ordan curve cannot bound infinitely many relative minima of area},\\n\\turl_pdf = {part3.pdf},\\n\\tyear = {2015}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2015\",\"id\":\"beeson2015\",\"bibbaseid\":\"beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/part3.pdf\"},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"misc\",\"type\":\"misc\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 22:41:12 +0000\",\"date-modified\":\"2019-02-28 15:18:01 -0800\",\"keywords\":\"MathXpert, Education, Software\",\"note\":\"The current version of this software is sold by Help With Math.\",\"publisher\":\"MathXpert Systems\",\"title\":\"MathXpert Calculus Assistant\",\"url_helpwithmath\":\"http://www.helpwithmath.com\",\"year\":\"1997\",\"bibtex\":\"@misc{beeson1997c,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 22:41:12 +0000},\\n\\tdate-modified = {2019-02-28 15:18:01 -0800},\\n\\tkeywords = {Math{X}pert, Education, Software},\\n\\tnote = {The current version of this software is sold by Help With Math.},\\n\\tpublisher = {MathXpert Systems},\\n\\ttitle = {MathXpert Calculus Assistant},\\n\\turl_helpwithmath = {http://www.helpwithmath.com},\\n\\tyear = {1997}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1997c\",\"id\":\"beeson1997c\",\"bibbaseid\":\"beeson-mathxpertcalculusassistant-1997\",\"role\":\"author\",\"urls\":{\" helpwithmath\":\"http://www.helpwithmath.com\"},\"keyword\":[\"MathXpert\",\"Education\",\"Software\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"misc\",\"type\":\"misc\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 22:39:49 +0000\",\"date-modified\":\"2019-02-28 15:17:51 -0800\",\"keywords\":\"MathXpert, Education, Software\",\"note\":\"The current version of this software is sold by Help With Math.\",\"publisher\":\"MathXpert Systems\",\"title\":\"MathXpert Precalculus Assistant\",\"url_helpwithmath\":\"http://www.helpwithmath.com\",\"year\":\"1997\",\"bibtex\":\"@misc{beeson1997b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 22:39:49 +0000},\\n\\tdate-modified = {2019-02-28 15:17:51 -0800},\\n\\tkeywords = {MathXpert, Education, Software},\\n\\tnote = {The current version of this software is sold by Help With Math.},\\n\\tpublisher = {MathXpert Systems},\\n\\ttitle = {Math{X}pert Precalculus Assistant},\\n\\turl_helpwithmath = {http://www.helpwithmath.com},\\n\\tyear = {1997}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1997b\",\"id\":\"beeson1997b\",\"bibbaseid\":\"beeson-mathxpertprecalculusassistant-1997\",\"role\":\"author\",\"urls\":{\" helpwithmath\":\"http://www.helpwithmath.com\"},\"keyword\":[\"MathXpert\",\"Education\",\"Software\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"misc\",\"type\":\"misc\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 22:36:22 +0000\",\"date-modified\":\"2019-02-28 15:17:40 -0800\",\"keywords\":\"MathXpert, Education, Software\",\"note\":\"The current version of this software is sold by Help With Math.\",\"publisher\":\"MathXpert Systems\",\"title\":\"MathXpert Algebra Assistant\",\"url_helpwithmath\":\"http://www.helpwithmath.com\",\"year\":\"1997\",\"bibtex\":\"@misc{beeson1997a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 22:36:22 +0000},\\n\\tdate-modified = {2019-02-28 15:17:40 -0800},\\n\\tkeywords = {MathXpert, Education, Software},\\n\\tnote = {The current version of this software is sold by Help With Math.},\\n\\tpublisher = {MathXpert Systems},\\n\\ttitle = {Math{X}pert Algebra Assistant},\\n\\turl_helpwithmath = {http://www.helpwithmath.com},\\n\\tyear = {1997}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1997a\",\"id\":\"beeson1997a\",\"bibbaseid\":\"beeson-mathxpertalgebraassistant-1997\",\"role\":\"author\",\"urls\":{\" helpwithmath\":\"http://www.helpwithmath.com\"},\"keyword\":[\"MathXpert\",\"Education\",\"Software\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Jay\"],\"propositions\":[],\"lastnames\":[\"Halcomb\"],\"suffixes\":[]},{\"firstnames\":[\"Wolfgang\"],\"propositions\":[],\"lastnames\":[\"Mayer\"],\"suffixes\":[]}],\"booktitle\":\"ATE-2011, Automated Theory Engineering, Proceedings of the First Workshop on Automated Theory Engineering, Co-Located with the 23rd International Conference on Automated Deduction Wroclaw, Poland, July 31, 2011\",\"date-added\":\"2014-11-14 22:23:30 +0000\",\"date-modified\":\"2014-11-14 22:31:29 +0000\",\"editor\":[{\"firstnames\":[\"Peter\"],\"propositions\":[],\"lastnames\":[\"Höfner\"],\"suffixes\":[]},{\"firstnames\":[\"Annabelle\"],\"propositions\":[],\"lastnames\":[\"McIver\"],\"suffixes\":[]},{\"firstnames\":[\"George\"],\"propositions\":[],\"lastnames\":[\"Struth\"],\"suffixes\":[]}],\"keywords\":\"Automated deduction, PSL\",\"pages\":\"9-19\",\"publisher\":\"CEUR\",\"title\":\"Inconsistencies in the Process Specification Language (PSL)\",\"url_pdf\":\"PSL_Inconsistencies.pdf\",\"year\":\"2011\",\"bibtex\":\"@incollection{beeson2011,\\n\\tauthor = {Michael Beeson and Jay Halcomb and Wolfgang Mayer},\\n\\tbooktitle = {ATE-2011, Automated Theory Engineering, Proceedings of the First Workshop on Automated Theory Engineering, Co-Located with the 23rd International Conference on Automated Deduction Wroclaw, Poland, July 31, 2011},\\n\\tdate-added = {2014-11-14 22:23:30 +0000},\\n\\tdate-modified = {2014-11-14 22:31:29 +0000},\\n\\teditor = {Peter H{\\\\\\\"o}fner and Annabelle McIver and George Struth},\\n\\tkeywords = {Automated deduction, PSL},\\n\\tpages = {9-19},\\n\\tpublisher = {CEUR},\\n\\ttitle = {Inconsistencies in the Process Specification Language (PSL)},\\n\\turl_pdf = {PSL_Inconsistencies.pdf},\\n\\tyear = {2011}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Halcomb, J.\",\"Mayer, W.\"],\"editor_short\":[\"Höfner, P.\",\"McIver, A.\",\"Struth, G.\"],\"key\":\"beeson2011\",\"id\":\"beeson2011\",\"bibbaseid\":\"beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/PSL_Inconsistencies.pdf\"},\"keyword\":[\"Automated deduction\",\"PSL\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Extensions of Logic Programming\",\"date-added\":\"2014-11-14 21:57:08 +0000\",\"date-modified\":\"2019-10-15 11:47:36 -0700\",\"editor\":[{\"firstnames\":[\"P.\"],\"propositions\":[],\"lastnames\":[\"Schroeder-Heister\"],\"suffixes\":[]}],\"keywords\":\"Proof theory, Automated deduction\",\"pages\":\"101-156\",\"publisher\":\"Springer-Verlag\",\"series\":\"Lecture Notes in Computer Science\",\"title\":\"Some applications of Gentzen's proof theory to automated deduction\",\"url_pdf\":\"Gentzen.pdf\",\"volume\":\"475\",\"year\":\"1991\",\"bibtex\":\"@incollection{beeson1991,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Extensions of Logic Programming},\\n\\tdate-added = {2014-11-14 21:57:08 +0000},\\n\\tdate-modified = {2019-10-15 11:47:36 -0700},\\n\\teditor = {P. Schroeder-Heister},\\n\\tkeywords = {Proof theory, Automated deduction},\\n\\tpages = {101-156},\\n\\tpublisher = {Springer-Verlag},\\n\\tseries = {Lecture Notes in Computer Science},\\n\\ttitle = {Some applications of {G}entzen's proof theory to automated deduction},\\n\\turl_pdf = {Gentzen.pdf},\\n\\tvolume = {475},\\n\\tyear = {1991}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Schroeder-Heister, P.\"],\"key\":\"beeson1991\",\"id\":\"beeson1991\",\"bibbaseid\":\"beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/Gentzen.pdf\"},\"keyword\":[\"Proof theory\",\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 21:55:49 +0000\",\"date-modified\":\"2014-11-14 21:56:52 +0000\",\"journal\":\"Journal of Artificial Intelligence and Education\",\"keywords\":\"MathXpert, Education\",\"pages\":\"65-76\",\"title\":\"A computerized environment for learning algebra, trigonometry, and calculus\",\"volume\":\"1\",\"year\":\"1990\",\"bibtex\":\"@article{beeson1990,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 21:55:49 +0000},\\n\\tdate-modified = {2014-11-14 21:56:52 +0000},\\n\\tjournal = {Journal of Artificial Intelligence and Education},\\n\\tkeywords = {MathXpert, Education},\\n\\tpages = {65-76},\\n\\ttitle = {A computerized environment for learning algebra, trigonometry, and calculus},\\n\\tvolume = {1},\\n\\tyear = {1990}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1990\",\"id\":\"beeson1990\",\"bibbaseid\":\"beeson-acomputerizedenvironmentforlearningalgebratrigonometryandcalculus-1990\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"MathXpert\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"address\":\"Berlin Heidelberg New York\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Computers and Mathematics '89\",\"date-added\":\"2014-11-14 21:54:16 +0000\",\"date-modified\":\"2014-11-14 21:55:33 +0000\",\"keywords\":\"MathXpert, Logic, Computation\",\"pages\":\"202-214\",\"publisher\":\"Springer-Verlag\",\"title\":\"Logic and computation in Mathpert: An expert system for learning mathematics\",\"year\":\"1989\",\"bibtex\":\"@incollection{beeson1989c,\\n\\taddress = {Berlin Heidelberg New York},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Computers and Mathematics '89},\\n\\tdate-added = {2014-11-14 21:54:16 +0000},\\n\\tdate-modified = {2014-11-14 21:55:33 +0000},\\n\\tkeywords = {MathXpert, Logic, Computation},\\n\\tpages = {202-214},\\n\\tpublisher = {Springer-Verlag},\\n\\ttitle = {Logic and computation in {M}athpert: An expert system for learning mathematics},\\n\\tyear = {1989}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1989c\",\"id\":\"beeson1989c\",\"bibbaseid\":\"beeson-logicandcomputationinmathpertanexpertsystemforlearningmathematics-1989\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"MathXpert\",\"Logic\",\"Computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Amsterdam\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Artificial Intelligence and Education '89\",\"date-added\":\"2014-11-14 21:52:19 +0000\",\"date-modified\":\"2014-11-14 21:53:46 +0000\",\"editor\":[{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Bierman\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Breuker\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Sandberg\"],\"suffixes\":[]}],\"keywords\":\"MathXpert, Education\",\"pages\":\"9-14\",\"publisher\":\"IOS\",\"title\":\"The user model in Mathpert, an expert system for learning mathematics\",\"year\":\"1989\",\"bibtex\":\"@inproceedings{beeson1989b,\\n\\taddress = {Amsterdam},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Artificial Intelligence and Education '89},\\n\\tdate-added = {2014-11-14 21:52:19 +0000},\\n\\tdate-modified = {2014-11-14 21:53:46 +0000},\\n\\teditor = {Bierman and Breuker and Sandberg},\\n\\tkeywords = {MathXpert, Education},\\n\\tpages = {9-14},\\n\\tpublisher = {IOS},\\n\\ttitle = {The user model in {M}athpert, an expert system for learning mathematics},\\n\\tyear = {1989}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Bierman\",\"Breuker\",\"Sandberg\"],\"key\":\"beeson1989b\",\"id\":\"beeson1989b\",\"bibbaseid\":\"beeson-theusermodelinmathpertanexpertsystemforlearningmathematics-1989\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"MathXpert\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Proceedings of the Conference on Technology in Collegiate Mathematics Education, Columbus, Ohio, October, 1988\",\"date-added\":\"2014-11-14 21:49:58 +0000\",\"date-modified\":\"2014-11-14 21:54:11 +0000\",\"keywords\":\"MathXpert, Education\",\"pages\":\"9-14\",\"publisher\":\"Addison-Wesley\",\"title\":\"Mathpert: An expert system for learning mathematics\",\"year\":\"1989\",\"bibtex\":\"@inproceedings{beeson1989a,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Proceedings of the Conference on Technology in Collegiate Mathematics Education, Columbus, Ohio, October, 1988},\\n\\tdate-added = {2014-11-14 21:49:58 +0000},\\n\\tdate-modified = {2014-11-14 21:54:11 +0000},\\n\\tkeywords = {MathXpert, Education},\\n\\tpages = {9-14},\\n\\tpublisher = {Addison-Wesley},\\n\\ttitle = {{M}athpert: An expert system for learning mathematics},\\n\\tyear = {1989}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1989a\",\"id\":\"beeson1989a\",\"bibbaseid\":\"beeson-mathpertanexpertsystemforlearningmathematics-1989\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"MathXpert\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 21:47:14 +0000\",\"date-modified\":\"2014-11-14 21:48:38 +0000\",\"journal\":\"Theoretical Computer Science\",\"keywords\":\"Logic, Set theory, Symbolic computation\",\"pages\":\"297-340\",\"title\":\"Towards a computation system based on set theory,\",\"url_pdf\":\"beeson1988b.pdf\",\"volume\":\"60\",\"year\":\"1988\",\"bibtex\":\"@article{beeson1988b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 21:47:14 +0000},\\n\\tdate-modified = {2014-11-14 21:48:38 +0000},\\n\\tjournal = {Theoretical Computer Science},\\n\\tkeywords = {Logic, Set theory, Symbolic computation},\\n\\tpages = {297-340},\\n\\ttitle = {Towards a computation system based on set theory,},\\n\\turl_pdf = {beeson1988b.pdf},\\n\\tvolume = {60},\\n\\tyear = {1988}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1988b\",\"id\":\"beeson1988b\",\"bibbaseid\":\"beeson-towardsacomputationsystembasedonsettheory-1988\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/beeson1988b.pdf\"},\"keyword\":[\"Logic\",\"Set theory\",\"Symbolic computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"The Universal Turing Machine: A Half-Century Survey\",\"date-added\":\"2014-11-14 21:44:47 +0000\",\"date-modified\":\"2014-11-14 21:48:56 +0000\",\"editor\":[{\"firstnames\":[\"R.\"],\"propositions\":[],\"lastnames\":[\"Herken\"],\"suffixes\":[]}],\"keywords\":\"Logic, Computation\",\"note\":\"Second edition, Springer-Verlag (1994)\",\"publisher\":\"Oxford University Press\",\"title\":\"Computerizing Mathematics: Logic and Computation\",\"year\":\"1988\",\"bibtex\":\"@incollection{beeson1988a,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {The Universal Turing Machine: A Half-Century Survey},\\n\\tdate-added = {2014-11-14 21:44:47 +0000},\\n\\tdate-modified = {2014-11-14 21:48:56 +0000},\\n\\teditor = {R. Herken},\\n\\tkeywords = {Logic, Computation},\\n\\tnote = {Second edition, Springer-Verlag (1994)},\\n\\tpublisher = {Oxford University Press},\\n\\ttitle = {Computerizing Mathematics: Logic and Computation},\\n\\tyear = {1988}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Herken, R.\"],\"key\":\"beeson1988a\",\"id\":\"beeson1988a\",\"bibbaseid\":\"beeson-computerizingmathematicslogicandcomputation-1988\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"address\":\"Providence, R. I.\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Logic and Computation\",\"date-added\":\"2014-11-14 21:43:00 +0000\",\"date-modified\":\"2014-11-14 21:44:29 +0000\",\"keywords\":\"Logic, Constructive mathematics\",\"publisher\":\"American Mathematical Society\",\"series\":\"Contemporary Mathematics\",\"title\":\"Some theories conservative over intuitionistic arithmetic\",\"volume\":\"106\",\"year\":\"1987\",\"bibtex\":\"@incollection{beeson1987,\\n\\taddress = {Providence, R.~I.},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Logic and Computation},\\n\\tdate-added = {2014-11-14 21:43:00 +0000},\\n\\tdate-modified = {2014-11-14 21:44:29 +0000},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpublisher = {American Mathematical Society},\\n\\tseries = {Contemporary Mathematics},\\n\\ttitle = {Some theories conservative over intuitionistic arithmetic},\\n\\tvolume = {106},\\n\\tyear = {1987}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1987\",\"id\":\"beeson1987\",\"bibbaseid\":\"beeson-sometheoriesconservativeoverintuitionisticarithmetic-1987\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Logic, Methodology, and Philosophy of Science VII, proceedings of the International Congress, Salzburg, 1983\",\"date-added\":\"2014-11-14 21:40:22 +0000\",\"date-modified\":\"2014-11-14 21:49:25 +0000\",\"editor\":[{\"firstnames\":[\"Ruth\"],\"propositions\":[],\"lastnames\":[\"Barcus\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Marcus\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Dorn\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Weingartner\"],\"suffixes\":[]}],\"keywords\":\"Logic, Computation\",\"note\":\"This paper has been translated into French and Russian.\",\"pages\":\"51-81\",\"title\":\"Proving programs and programming proofs\",\"year\":\"1986\",\"bibtex\":\"@inproceedings{beeson1986,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Logic, Methodology, and Philosophy of Science VII, proceedings of the International Congress, Salzburg, 1983},\\n\\tdate-added = {2014-11-14 21:40:22 +0000},\\n\\tdate-modified = {2014-11-14 21:49:25 +0000},\\n\\teditor = {Ruth Barcus and Marcus and Dorn and Weingartner},\\n\\tkeywords = {Logic, Computation},\\n\\tnote = {This paper has been translated into French and Russian.},\\n\\tpages = {51-81},\\n\\ttitle = {Proving programs and programming proofs},\\n\\tyear = {1986}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Barcus, R.\",\"Marcus\",\"Dorn\",\"Weingartner\"],\"key\":\"beeson1986\",\"id\":\"beeson1986\",\"bibbaseid\":\"beeson-provingprogramsandprogrammingproofs-1986\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 21:38:25 +0000\",\"date-modified\":\"2014-11-14 22:10:52 +0000\",\"journal\":\"Mathematische Zeitschrift\",\"keywords\":\"Minimal surfaces\",\"pages\":\"1-30\",\"title\":\"Some results on finiteness in Plateau's problem, Part II\",\"volume\":\"181\",\"year\":\"1982\",\"bibtex\":\"@article{beeson1982b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 21:38:25 +0000},\\n\\tdate-modified = {2014-11-14 22:10:52 +0000},\\n\\tjournal = {Mathematische Zeitschrift},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {1-30},\\n\\ttitle = {Some results on finiteness in {P}lateau's problem, Part {II}},\\n\\tvolume = {181},\\n\\tyear = {1982}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1982b\",\"id\":\"beeson1982b\",\"bibbaseid\":\"beeson-someresultsonfinitenessinplateausproblempartii-1982\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Amsterdam\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Logic Colloquium '80\",\"date-added\":\"2014-11-14 21:03:24 +0000\",\"date-modified\":\"2014-11-14 22:13:45 +0000\",\"editor\":[{\"firstnames\":[\"Dirk\"],\"propositions\":[\"van\"],\"lastnames\":[\"Dalen\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"D. Lascar\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"J. Smiley\"],\"suffixes\":[]}],\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"11-55\",\"publisher\":\"North-Holland\",\"title\":\"Problematic principles in constructive mathematics\",\"year\":\"1982\",\"bibtex\":\"@inproceedings{beeson1982c,\\n\\taddress = {Amsterdam},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Logic Colloquium '80},\\n\\tdate-added = {2014-11-14 21:03:24 +0000},\\n\\tdate-modified = {2014-11-14 22:13:45 +0000},\\n\\teditor = {Dirk van Dalen and D.~Lascar and J.~Smiley},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {11-55},\\n\\tpublisher = {North-Holland},\\n\\ttitle = {Problematic principles in constructive mathematics},\\n\\tyear = {1982}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"van Dalen, D.\",\"D. Lascar\",\"J. Smiley\"],\"key\":\"beeson1982c\",\"id\":\"beeson1982c\",\"bibbaseid\":\"beeson-problematicprinciplesinconstructivemathematics-1982\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 21:01:14 +0000\",\"date-modified\":\"2014-11-14 21:02:51 +0000\",\"journal\":\"Pacific Journal of Mathematics\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"1-28\",\"title\":\"Extensionality and choice in constructive mathematics\",\"volume\":\"88\",\"year\":\"1980\",\"bibtex\":\"@article{beeson1980c,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 21:01:14 +0000},\\n\\tdate-modified = {2014-11-14 21:02:51 +0000},\\n\\tjournal = {Pacific Journal of Mathematics},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {1-28},\\n\\ttitle = {Extensionality and choice in constructive mathematics},\\n\\tvolume = {88},\\n\\tyear = {1980}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1980c\",\"id\":\"beeson1980c\",\"bibbaseid\":\"beeson-extensionalityandchoiceinconstructivemathematics-1980\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 19:22:39 +0000\",\"date-modified\":\"2014-11-17 18:09:15 +0000\",\"journal\":\"Sciences et Techniques Educatives\",\"keywords\":\"MathXpert, Education\",\"note\":\"The link is to the English original; I do not have a copy of the French published version.\",\"number\":\"1-2\",\"title\":\"MathXpert : un logiciel pour aider les élèves à apprendre les mathématiques par l'action\",\"url_pdf\":\"English-ste.pdf\",\"volume\":\"9\",\"year\":\"2002\",\"bibtex\":\"@article{beeson2002a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 19:22:39 +0000},\\n\\tdate-modified = {2014-11-17 18:09:15 +0000},\\n\\tjournal = {Sciences et Techniques Educatives},\\n\\tkeywords = {MathXpert, Education},\\n\\tnote = {The link is to the English original; I do not have a copy of the French published version.},\\n\\tnumber = {1-2},\\n\\ttitle = {Math{X}pert : un logiciel pour aider les {\\\\'e}l{\\\\`e}ves {\\\\`a} apprendre les math{\\\\'e}matiques par l'action},\\n\\turl_pdf = {English-ste.pdf},\\n\\tvolume = {9},\\n\\tyear = {2002}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2002a\",\"id\":\"beeson2002a\",\"bibbaseid\":\"beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/English-ste.pdf\"},\"keyword\":[\"MathXpert\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Constructive Mathematics, Proceedings, New Mexico, 1980\",\"date-added\":\"2014-11-14 17:19:41 +0000\",\"date-modified\":\"2014-11-14 18:11:16 +0000\",\"editor\":[{\"firstnames\":[\"Fred\"],\"propositions\":[],\"lastnames\":[\"Richman\"],\"suffixes\":[]}],\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"146-191\",\"series\":\"Lecture Notes in Mathematics\",\"title\":\"Formalizing constructive mathematics: why and how?\",\"volume\":\"873\",\"year\":\"1981\",\"bibtex\":\"@inproceedings{beeson1981,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Constructive Mathematics, Proceedings, New Mexico, 1980},\\n\\tdate-added = {2014-11-14 17:19:41 +0000},\\n\\tdate-modified = {2014-11-14 18:11:16 +0000},\\n\\teditor = {Fred Richman},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {146-191},\\n\\tseries = {Lecture Notes in Mathematics},\\n\\ttitle = {Formalizing constructive mathematics: why and how?},\\n\\tvolume = {873},\\n\\tyear = {1981}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Richman, F.\"],\"key\":\"beeson1981\",\"id\":\"beeson1981\",\"bibbaseid\":\"beeson-formalizingconstructivemathematicswhyandhow-1981\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Amsterdam\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Logic Colloquium '78\",\"date-added\":\"2014-11-14 17:14:38 +0000\",\"date-modified\":\"2014-11-14 18:10:55 +0000\",\"editor\":[{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"M. Boffa\"],\"suffixes\":[]},{\"firstnames\":[\"Dirk\"],\"propositions\":[\"van\"],\"lastnames\":[\"Dalen\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"D. Lascar\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"J. Smiley\"],\"suffixes\":[]}],\"keywords\":\"Logic, Constructive mathematics\",\"publisher\":\"North-Holland\",\"title\":\"Continuity in intuitionistic set theories\",\"year\":\"1979\",\"bibtex\":\"@inproceedings{beeson1979b,\\n\\taddress = {Amsterdam},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Logic Colloquium '78},\\n\\tdate-added = {2014-11-14 17:14:38 +0000},\\n\\tdate-modified = {2014-11-14 18:10:55 +0000},\\n\\teditor = {M.~Boffa and Dirk van Dalen and D.~Lascar and J.~Smiley},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpublisher = {North-Holland},\\n\\ttitle = {Continuity in intuitionistic set theories},\\n\\tyear = {1979}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"M. Boffa\",\"van Dalen, D.\",\"D. Lascar\",\"J. Smiley\"],\"key\":\"beeson1979b\",\"id\":\"beeson1979b\",\"bibbaseid\":\"beeson-continuityinintuitionisticsettheories-1979\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:13:46 +0000\",\"date-modified\":\"2014-11-14 18:10:48 +0000\",\"journal\":\"Pacific Journal of Mathematics\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"1-16\",\"title\":\"Goodman's theorem and beyond\",\"volume\":\"84\",\"year\":\"1979\",\"bibtex\":\"@article{beeson1979a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:13:46 +0000},\\n\\tdate-modified = {2014-11-14 18:10:48 +0000},\\n\\tjournal = {Pacific Journal of Mathematics},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {1-16},\\n\\ttitle = {Goodman's theorem and beyond},\\n\\tvolume = {84},\\n\\tyear = {1979}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1979a\",\"id\":\"beeson1979a\",\"bibbaseid\":\"beeson-goodmanstheoremandbeyond-1979\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:12:47 +0000\",\"date-modified\":\"2014-11-14 18:10:08 +0000\",\"journal\":\"Pacific Journal of Mathematics\",\"keywords\":\"Minimal surfaces\",\"pages\":\"11-17\",\"title\":\"Non-continuous dependence of surfaces of least area on the boundary curve\",\"year\":\"1977\",\"bibtex\":\"@article{beeson1977c,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:12:47 +0000},\\n\\tdate-modified = {2014-11-14 18:10:08 +0000},\\n\\tjournal = {Pacific Journal of Mathematics},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {11-17},\\n\\ttitle = {Non-continuous dependence of surfaces of least area on the boundary curve},\\n\\tyear = {1977}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1977c\",\"id\":\"beeson1977c\",\"bibbaseid\":\"beeson-noncontinuousdependenceofsurfacesofleastareaontheboundarycurve-1977\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:11:54 +0000\",\"date-modified\":\"2014-11-14 18:09:59 +0000\",\"journal\":\"Annals of Mathematical Logic\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"249-322\",\"title\":\"Principles of continuous choice and continuity of functions in formal systems for constructive mathematics\",\"year\":\"1977\",\"bibtex\":\"@article{beeson1977b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:11:54 +0000},\\n\\tdate-modified = {2014-11-14 18:09:59 +0000},\\n\\tjournal = {Annals of Mathematical Logic},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {249-322},\\n\\ttitle = {Principles of continuous choice and continuity of functions in formal systems for constructive mathematics},\\n\\tyear = {1977}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1977b\",\"id\":\"beeson1977b\",\"bibbaseid\":\"beeson-principlesofcontinuouschoiceandcontinuityoffunctionsinformalsystemsforconstructivemathematics-1977\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:10:43 +0000\",\"date-modified\":\"2014-11-14 18:09:54 +0000\",\"journal\":\"Pacific Journal of Mathematics\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"29-40\",\"title\":\"Continuity and comprehension in intuitionistic formal systems\",\"volume\":\"68\",\"year\":\"1977\",\"bibtex\":\"@article{beeson1977a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:10:43 +0000},\\n\\tdate-modified = {2014-11-14 18:09:54 +0000},\\n\\tjournal = {Pacific Journal of Mathematics},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {29-40},\\n\\ttitle = {Continuity and comprehension in intuitionistic formal systems},\\n\\tvolume = {68},\\n\\tyear = {1977}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1977a\",\"id\":\"beeson1977a\",\"bibbaseid\":\"beeson-continuityandcomprehensioninintuitionisticformalsystems-1977\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"phdthesis\",\"type\":\"phdthesis\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:09:32 +0000\",\"date-modified\":\"2014-11-14 18:09:23 +0000\",\"keywords\":\"Logic, Constructive mathematics\",\"school\":\"Stanford\",\"title\":\"The metamathematics of constructive theories of effective operations\",\"year\":\"1972\",\"bibtex\":\"@phdthesis{beeson1972,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:09:32 +0000},\\n\\tdate-modified = {2014-11-14 18:09:23 +0000},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tschool = {Stanford},\\n\\ttitle = {The metamathematics of constructive theories of effective operations},\\n\\tyear = {1972}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1972\",\"id\":\"beeson1972\",\"bibbaseid\":\"beeson-themetamathematicsofconstructivetheoriesofeffectiveoperations-1972\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:08:25 +0000\",\"date-modified\":\"2014-11-14 18:09:41 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"28-24\",\"title\":\"The unprovability in intuitionistic formal systems of the continuity of effective operations on the reals\",\"volume\":\"41\",\"year\":\"1976\",\"bibtex\":\"@article{beeson1976b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:08:25 +0000},\\n\\tdate-modified = {2014-11-14 18:09:41 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {28-24},\\n\\ttitle = {The unprovability in intuitionistic formal systems of the continuity of effective operations on the reals},\\n\\tvolume = {41},\\n\\tyear = {1976}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1976b\",\"id\":\"beeson1976b\",\"bibbaseid\":\"beeson-theunprovabilityinintuitionisticformalsystemsofthecontinuityofeffectiveoperationsonthereals-1976\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:07:04 +0000\",\"date-modified\":\"2014-11-14 18:09:32 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"321-346\",\"title\":\"The non-derivability in intuitionistic formal systems of theorems on the continuity of effective operations\",\"volume\":\"40\",\"year\":\"1976\",\"bibtex\":\"@article{beeson1976a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:07:04 +0000},\\n\\tdate-modified = {2014-11-14 18:09:32 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {321-346},\\n\\ttitle = {The non-derivability in intuitionistic formal systems of theorems on the continuity of effective operations},\\n\\tvolume = {40},\\n\\tyear = {1976}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1976a\",\"id\":\"beeson1976a\",\"bibbaseid\":\"beeson-thenonderivabilityinintuitionisticformalsystemsoftheoremsonthecontinuityofeffectiveoperations-1976\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:05:56 +0000\",\"date-modified\":\"2014-11-14 18:09:47 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"328-336\",\"title\":\"Derived rules of inference related to the continuity of effective operations\",\"volume\":\"41\",\"year\":\"1976\",\"bibtex\":\"@article{beeson1976c,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:05:56 +0000},\\n\\tdate-modified = {2014-11-14 18:09:47 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {328-336},\\n\\ttitle = {Derived rules of inference related to the continuity of effective operations},\\n\\tvolume = {41},\\n\\tyear = {1976}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1976c\",\"id\":\"beeson1976c\",\"bibbaseid\":\"beeson-derivedrulesofinferencerelatedtothecontinuityofeffectiveoperations-1976\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:04:19 +0000\",\"date-modified\":\"2014-11-14 22:10:41 +0000\",\"journal\":\"Mathematische Zeitschrift\",\"keywords\":\"Minimal surfaces\",\"pages\":\"103-122\",\"title\":\"Some results on finiteness in Plateau's problem, Part I\",\"volume\":\"175\",\"year\":\"1980\",\"bibtex\":\"@article{beeson1980b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:04:19 +0000},\\n\\tdate-modified = {2014-11-14 22:10:41 +0000},\\n\\tjournal = {Mathematische Zeitschrift},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {103-122},\\n\\ttitle = {Some results on finiteness in {P}lateau's problem, Part {I}},\\n\\tvolume = {175},\\n\\tyear = {1980}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1980b\",\"id\":\"beeson1980b\",\"bibbaseid\":\"beeson-someresultsonfinitenessinplateausproblemparti-1980\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:02:06 +0000\",\"date-modified\":\"2014-11-14 18:11:05 +0000\",\"journal\":\"Mathematische Zeitschrift\",\"keywords\":\"Minimal surfaces\",\"pages\":\"103-123\",\"title\":\"On interior branch points of minimal surfaces\",\"volume\":\"175\",\"year\":\"1980\",\"bibtex\":\"@article{beeson1980a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:02:06 +0000},\\n\\tdate-modified = {2014-11-14 18:11:05 +0000},\\n\\tjournal = {Mathematische Zeitschrift},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {103-123},\\n\\ttitle = {On interior branch points of minimal surfaces},\\n\\tvolume = {175},\\n\\tyear = {1980}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1980a\",\"id\":\"beeson1980a\",\"bibbaseid\":\"beeson-oninteriorbranchpointsofminimalsurfaces-1980\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 17:00:54 +0000\",\"date-modified\":\"2014-11-17 16:37:19 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Logic, Constructive mathematics, Proof theory\",\"pages\":\"213-227\",\"title\":\"A type-free Gödel interpretation\",\"volume\":\"43\",\"year\":\"1978\",\"bibtex\":\"@article{beeson1978a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 17:00:54 +0000},\\n\\tdate-modified = {2014-11-17 16:37:19 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Logic, Constructive mathematics, Proof theory},\\n\\tpages = {213-227},\\n\\ttitle = {A type-free {G}{\\\\\\\"o}del interpretation},\\n\\tvolume = {43},\\n\\tyear = {1978}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1978a\",\"id\":\"beeson1978a\",\"bibbaseid\":\"beeson-atypefreegdelinterpretation-1978\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\",\"Proof theory\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:56:55 +0000\",\"date-modified\":\"2014-11-14 18:10:25 +0000\",\"journal\":\"Archive of Rational Mechanics and Analysis\",\"keywords\":\"Minimal surfaces\",\"pages\":\"213-227\",\"title\":\"The behavior of a minimal surface in a corner\",\"volume\":\"65\",\"year\":\"1977\",\"bibtex\":\"@article{beeson1977d,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 16:56:55 +0000},\\n\\tdate-modified = {2014-11-14 18:10:25 +0000},\\n\\tjournal = {Archive of Rational Mechanics and Analysis},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {213-227},\\n\\ttitle = {The behavior of a minimal surface in a corner},\\n\\tvolume = {65},\\n\\tyear = {1977}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1977d\",\"id\":\"beeson1977d\",\"bibbaseid\":\"beeson-thebehaviorofaminimalsurfaceinacorner-1977\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:55:21 +0000\",\"date-modified\":\"2014-11-14 18:11:32 +0000\",\"journal\":\"Annals of Mathematical Logic\",\"keywords\":\"Logic, Constructive mathematics, Proof theory\",\"pages\":\"127-178\",\"title\":\"Recursive models for constructive set theories\",\"volume\":\"23\",\"year\":\"1982\",\"bibtex\":\"@article{beeson1982a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 16:55:21 +0000},\\n\\tdate-modified = {2014-11-14 18:11:32 +0000},\\n\\tjournal = {Annals of Mathematical Logic},\\n\\tkeywords = {Logic, Constructive mathematics, Proof theory},\\n\\tpages = {127-178},\\n\\ttitle = {Recursive models for constructive set theories},\\n\\tvolume = {23},\\n\\tyear = {1982}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1982a\",\"id\":\"beeson1982a\",\"bibbaseid\":\"beeson-recursivemodelsforconstructivesettheories-1982\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\",\"Proof theory\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Andre\"],\"propositions\":[],\"lastnames\":[\"Scedrov\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:53:41 +0000\",\"date-modified\":\"2014-11-14 18:11:38 +0000\",\"journal\":\"Journal of Symbolic Logic\",\"keywords\":\"Logic, Constructive mathematics\",\"pages\":\"273-308\",\"title\":\"Church's thesis, continuity, and set theory\",\"volume\":\"49\",\"year\":\"1984\",\"bibtex\":\"@article{beeson1984-scedrov,\\n\\tauthor = {Michael Beeson and Andre Scedrov},\\n\\tdate-added = {2014-11-14 16:53:41 +0000},\\n\\tdate-modified = {2014-11-14 18:11:38 +0000},\\n\\tjournal = {Journal of Symbolic Logic},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpages = {273-308},\\n\\ttitle = {Church's thesis, continuity, and set theory},\\n\\tvolume = {49},\\n\\tyear = {1984}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Scedrov, A.\"],\"key\":\"beeson1984-scedrov\",\"id\":\"beeson1984-scedrov\",\"bibbaseid\":\"beeson-scedrov-churchsthesiscontinuityandsettheory-1984\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Anthony\",\"J.\"],\"propositions\":[],\"lastnames\":[\"Tromba\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:52:15 +0000\",\"date-modified\":\"2018-02-13 00:48:28 +0000\",\"journal\":\"Manuscripta Mathematica\",\"keywords\":\"Minimal surfaces\",\"pages\":\"273-308\",\"title\":\"The cusp catastrophe of Thom in the bifurcation of minimal surfaces\",\"volume\":\"46\",\"year\":\"1984\",\"bibtex\":\"@article{beeson1984-tromba,\\n\\tauthor = {Michael Beeson and Anthony J. Tromba},\\n\\tdate-added = {2014-11-14 16:52:15 +0000},\\n\\tdate-modified = {2018-02-13 00:48:28 +0000},\\n\\tjournal = {Manuscripta Mathematica},\\n\\tkeywords = {Minimal surfaces},\\n\\tpages = {273-308},\\n\\ttitle = {The cusp catastrophe of {T}hom in the bifurcation of minimal surfaces},\\n\\tvolume = {46},\\n\\tyear = {1984}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Tromba, A. J.\"],\"key\":\"beeson1984-tromba\",\"id\":\"beeson1984-tromba\",\"bibbaseid\":\"beeson-tromba-thecuspcatastropheofthominthebifurcationofminimalsurfaces-1984\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:50:41 +0000\",\"date-modified\":\"2014-11-17 18:13:34 +0000\",\"journal\":\"Pacific Journal of Mathematics\",\"keywords\":\"Minimal surfaces\",\"note\":\"The second link gives comments (written 2006) that simplify the proof and answer a question raised by Nitsche.\",\"pages\":\"17-25\",\"title\":\"The $6π$ theorem in minimal surfaces\",\"url_pdf\":\"sixpi.pdf\",\"url_pdf2\":\"sixpiReview.pdf\",\"volume\":\"117\",\"year\":\"1985\",\"bibtex\":\"@article{beeson1985b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 16:50:41 +0000},\\n\\tdate-modified = {2014-11-17 18:13:34 +0000},\\n\\tjournal = {Pacific Journal of Mathematics},\\n\\tkeywords = {Minimal surfaces},\\n\\tnote = {The second link gives comments (written 2006) that simplify the proof and answer a question raised by Nitsche.},\\n\\tpages = {17-25},\\n\\ttitle = {The $6\\\\pi$ theorem in minimal surfaces},\\n\\turl_pdf = {sixpi.pdf},\\n\\turl_pdf2 = {sixpiReview.pdf},\\n\\tvolume = {117},\\n\\tyear = {1985}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1985b\",\"id\":\"beeson1985b\",\"bibbaseid\":\"beeson-the6theoreminminimalsurfaces-1985\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/sixpi.pdf\",\" pdf2\":\"http://www.michaelbeeson.com/research/papers/sixpiReview.pdf\"},\"keyword\":[\"Minimal surfaces\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"book\",\"type\":\"book\",\"address\":\"Berlin Heidelberg New York Tokyo\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-14 16:48:13 +0000\",\"date-modified\":\"2019-02-28 15:14:25 -0800\",\"keywords\":\"Logic, Constructive mathematics\",\"number\":\"6\",\"publisher\":\"Springer\",\"series\":\"Ergebnisse der Mathematik und ihrer Grenzgebiete\",\"title\":\"Foundations of Constructive Mathematics: Metamathematical Studies\",\"year\":\"1985\",\"bibtex\":\"@book{beeson1985a,\\n\\taddress = {Berlin Heidelberg New York Tokyo},\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-14 16:48:13 +0000},\\n\\tdate-modified = {2019-02-28 15:14:25 -0800},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tnumber = {6},\\n\\tpublisher = {Springer},\\n\\tseries = {Ergebnisse der Mathematik und ihrer Grenzgebiete},\\n\\ttitle = {Foundations of Constructive Mathematics: Metamathematical Studies},\\n\\tyear = {1985}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1985a\",\"id\":\"beeson1985a\",\"bibbaseid\":\"beeson-foundationsofconstructivemathematicsmetamathematicalstudies-1985\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:54:43 +0000\",\"date-modified\":\"2014-11-14 20:07:17 +0000\",\"journal\":\"American Mathematical Monthly\",\"keywords\":\"Geometry\",\"number\":\"3\",\"pages\":\"243-252\",\"title\":\"Triangles with vertices on lattice points\",\"url_pdf\":\"triangle.pdf\",\"volume\":\"99\",\"year\":\"1992\",\"bibtex\":\"@article{beeson1992a,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-13 23:54:43 +0000},\\n\\tdate-modified = {2014-11-14 20:07:17 +0000},\\n\\tjournal = {American Mathematical Monthly},\\n\\tkeywords = {Geometry},\\n\\tnumber = {3},\\n\\tpages = {243-252},\\n\\ttitle = {Triangles with vertices on lattice points},\\n\\turl_pdf = {triangle.pdf},\\n\\tvolume = {99},\\n\\tyear = {1992}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1992a\",\"id\":\"beeson1992a\",\"bibbaseid\":\"beeson-triangleswithverticesonlatticepoints-1992\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/triangle.pdf\"},\"keyword\":[\"Geometry\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Logic Programming and Automated Reasoning\",\"date-added\":\"2014-11-13 23:52:44 +0000\",\"date-modified\":\"2014-11-14 21:59:02 +0000\",\"editor\":[{\"firstnames\":[\"A.\"],\"propositions\":[],\"lastnames\":[\"Voronkov\"],\"suffixes\":[]}],\"keywords\":\"MathXpert, Symbolic computation, Education\",\"pages\":\"454-457\",\"series\":\"Lecture Notes in Artificial Intelligence\",\"title\":\"Mathpert: Computer support for learning algebra, trigonometry, and calculus\",\"volume\":\"624\",\"year\":\"1992\",\"bibtex\":\"@inproceedings{beeson1992b,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Logic Programming and Automated Reasoning},\\n\\tdate-added = {2014-11-13 23:52:44 +0000},\\n\\tdate-modified = {2014-11-14 21:59:02 +0000},\\n\\teditor = {A.~ Voronkov},\\n\\tkeywords = {MathXpert, Symbolic computation, Education},\\n\\tpages = {454-457},\\n\\tseries = {Lecture Notes in Artificial Intelligence},\\n\\ttitle = {{M}athpert: Computer support for learning algebra, trigonometry, and calculus},\\n\\tvolume = {624},\\n\\tyear = {1992}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Voronkov, A.\"],\"key\":\"beeson1992b\",\"id\":\"beeson1992b\",\"bibbaseid\":\"beeson-mathpertcomputersupportforlearningalgebratrigonometryandcalculus-1992\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"MathXpert\",\"Symbolic computation\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Vienna\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Proceedings of the International Wittgenstein Symposium on Philosophy of Mathematics, Aug. 16-22, 1992\",\"date-added\":\"2014-11-13 23:50:51 +0000\",\"date-modified\":\"2014-11-14 20:06:33 +0000\",\"editor\":[{\"firstnames\":[\"J.\"],\"propositions\":[],\"lastnames\":[\"Czermak\"],\"suffixes\":[]}],\"keywords\":\"Logic, Constructive mathematics\",\"publisher\":\"Wittgenstein Society\",\"title\":\"Constructivism in the Nineties\",\"url_pdf\":\"const92.pdf\",\"year\":\"1992\",\"bibtex\":\"@inproceedings{beeson1992c,\\n\\taddress = {Vienna},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Proceedings of the International Wittgenstein Symposium on Philosophy of Mathematics, Aug. 16-22, 1992},\\n\\tdate-added = {2014-11-13 23:50:51 +0000},\\n\\tdate-modified = {2014-11-14 20:06:33 +0000},\\n\\teditor = {J. Czermak},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpublisher = {Wittgenstein Society},\\n\\ttitle = {Constructivism in the Nineties},\\n\\turl_pdf = {const92.pdf},\\n\\tyear = {1992}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Czermak, J.\"],\"key\":\"beeson1992c\",\"id\":\"beeson1992c\",\"bibbaseid\":\"beeson-constructivisminthenineties-1992\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/const92.pdf\"},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":3,\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"address\":\"Berlin Heidelberg New York\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Computer-Human Interaction in Symbolic Computation\",\"date-added\":\"2014-11-13 23:48:07 +0000\",\"date-modified\":\"2018-01-29 08:35:21 +0000\",\"editor\":[{\"firstnames\":[\"Norman\"],\"propositions\":[],\"lastnames\":[\"Kajler\"],\"suffixes\":[]}],\"keywords\":\"MathXpert, Education\",\"pages\":\"89-115\",\"publisher\":\"Springer-Verlag\",\"title\":\"Design Principles of Mathpert: Software to support education in algebra and calculus\",\"url_pdf\":\"hisc.pdf\",\"year\":\"1998\",\"bibtex\":\"@incollection{beeson1998a,\\n\\taddress = {Berlin Heidelberg New York},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Computer-Human Interaction in Symbolic Computation},\\n\\tdate-added = {2014-11-13 23:48:07 +0000},\\n\\tdate-modified = {2018-01-29 08:35:21 +0000},\\n\\teditor = {Norman Kajler},\\n\\tkeywords = {MathXpert, Education},\\n\\tpages = {89-115},\\n\\tpublisher = {Springer-Verlag},\\n\\ttitle = {Design Principles of {M}athpert: Software to support education in algebra and calculus},\\n\\turl_pdf = {hisc.pdf},\\n\\tyear = {1998}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Kajler, N.\"],\"key\":\"beeson1998a\",\"id\":\"beeson1998a\",\"bibbaseid\":\"beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/hisc.pdf\"},\"keyword\":[\"MathXpert\",\"Education\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:45:44 +0000\",\"date-modified\":\"2014-11-14 20:05:39 +0000\",\"journal\":\"International Journal of Foundations of Computer Science\",\"keywords\":\"Logic, MathXpert, Nonstandard analysis\",\"number\":\"3\",\"pages\":\"299-338\",\"title\":\"Using nonstandard analysis to verify the correctness of computations\",\"url_pdf\":\"nsappt.pdf\",\"volume\":\"6\",\"year\":\"1995\",\"bibtex\":\"@article{beeson1995,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-13 23:45:44 +0000},\\n\\tdate-modified = {2014-11-14 20:05:39 +0000},\\n\\tjournal = {International Journal of Foundations of Computer Science},\\n\\tkeywords = {Logic, MathXpert, Nonstandard analysis},\\n\\tnumber = {3},\\n\\tpages = {299-338},\\n\\ttitle = {Using nonstandard analysis to verify the correctness of computations},\\n\\turl_pdf = {nsappt.pdf},\\n\\tvolume = {6},\\n\\tyear = {1995}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1995\",\"id\":\"beeson1995\",\"bibbaseid\":\"beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/nsappt.pdf\"},\"keyword\":[\"Logic\",\"MathXpert\",\"Nonstandard analysis\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings\",\"date-added\":\"2014-11-13 23:38:15 +0000\",\"date-modified\":\"2014-11-14 19:30:37 +0000\",\"editor\":[{\"firstnames\":[\"Rajeev\"],\"propositions\":[],\"lastnames\":[\"Gore\"],\"suffixes\":[]},{\"firstnames\":[\"Alexander\"],\"propositions\":[],\"lastnames\":[\"Leitsch\"],\"suffixes\":[]},{\"firstnames\":[\"Tobias\"],\"propositions\":[],\"lastnames\":[\"Nipkow\"],\"suffixes\":[]}],\"keywords\":\"Automated deduction\",\"pages\":\"318-324\",\"publisher\":\"Springer-Verlag\",\"title\":\"A second-order theorem prover applied to circumscription\",\"url_pdf\":\"circumscription.pdf\",\"volume\":\"2083\",\"year\":\"2001\",\"bibtex\":\"@inproceedings{beeson2001b,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings},\\n\\tdate-added = {2014-11-13 23:38:15 +0000},\\n\\tdate-modified = {2014-11-14 19:30:37 +0000},\\n\\teditor = {Rajeev Gore and Alexander Leitsch and Tobias Nipkow},\\n\\tkeywords = {Automated deduction},\\n\\tpages = {318-324},\\n\\tpublisher = {Springer-Verlag},\\n\\ttitle = {A second-order theorem prover applied to circumscription},\\n\\turl_pdf = {circumscription.pdf},\\n\\tvolume = {2083},\\n\\tyear = {2001}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Gore, R.\",\"Leitsch, A.\",\"Nipkow, T.\"],\"key\":\"beeson2001b\",\"id\":\"beeson2001b\",\"bibbaseid\":\"beeson-asecondordertheoremproverappliedtocircumscription-2001\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/circumscription.pdf\"},\"keyword\":[\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Berlin Heidelberg New York\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Artificial Intelligence and Symbolic Computation\",\"date-added\":\"2014-11-13 23:35:21 +0000\",\"date-modified\":\"2014-11-14 19:32:10 +0000\",\"editor\":[{\"firstnames\":[\"Jacques\"],\"propositions\":[],\"lastnames\":[\"Calmet\"],\"suffixes\":[]},{\"firstnames\":[\"Jan\"],\"propositions\":[],\"lastnames\":[\"Plaza\"],\"suffixes\":[]}],\"keywords\":\"Automated deduction\",\"pages\":\"67-83\",\"publisher\":\"Springer-Verlag\",\"series\":\"Lecture Notes in Artificial Intelligence\",\"title\":\"Automatic generation of epsilon-delta proofs of continuity\",\"url_pdf\":\"aisc.pdf\",\"volume\":\"1476\",\"year\":\"1998\",\"bibtex\":\"@inproceedings{beeson1998d,\\n\\taddress = {Berlin Heidelberg New York},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Artificial Intelligence and Symbolic Computation},\\n\\tdate-added = {2014-11-13 23:35:21 +0000},\\n\\tdate-modified = {2014-11-14 19:32:10 +0000},\\n\\teditor = {Jacques Calmet and Jan Plaza},\\n\\tkeywords = {Automated deduction},\\n\\tpages = {67-83},\\n\\tpublisher = {Springer-Verlag},\\n\\tseries = {Lecture Notes in Artificial Intelligence},\\n\\ttitle = {Automatic generation of epsilon-delta proofs of continuity},\\n\\turl_pdf = {aisc.pdf},\\n\\tvolume = {1476},\\n\\tyear = {1998}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Calmet, J.\",\"Plaza, J.\"],\"key\":\"beeson1998d\",\"id\":\"beeson1998d\",\"bibbaseid\":\"beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/aisc.pdf\"},\"keyword\":[\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings\",\"date-added\":\"2014-11-13 23:31:21 +0000\",\"date-modified\":\"2014-11-14 20:02:58 +0000\",\"editor\":[{\"firstnames\":[\"Claude\"],\"propositions\":[],\"lastnames\":[\"Kirchner\"],\"suffixes\":[]},{\"firstnames\":[\"Helene\"],\"propositions\":[],\"lastnames\":[\"Kirchner\"],\"suffixes\":[]}],\"keywords\":\"Unification, Automated deduction, Lambda calculus\",\"pages\":\"96-111\",\"title\":\"Unification in lambda calculus with if-then-else\",\"url_pdf\":\"Unify.pdf\",\"year\":\"1998\",\"bibtex\":\"@inproceedings{beeson1998c,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings},\\n\\tdate-added = {2014-11-13 23:31:21 +0000},\\n\\tdate-modified = {2014-11-14 20:02:58 +0000},\\n\\teditor = {Claude Kirchner and Helene Kirchner},\\n\\tkeywords = {Unification, Automated deduction, Lambda calculus},\\n\\tpages = {96-111},\\n\\ttitle = {Unification in lambda calculus with if-then-else},\\n\\turl_pdf = {Unify.pdf},\\n\\tyear = {1998}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Kirchner, C.\",\"Kirchner, H.\"],\"key\":\"beeson1998c\",\"id\":\"beeson1998c\",\"bibbaseid\":\"beeson-unificationinlambdacalculuswithifthenelse-1998\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/Unify.pdf\"},\"keyword\":[\"Unification\",\"Automated deduction\",\"Lambda calculus\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:30:24 +0000\",\"date-modified\":\"2014-11-14 20:03:35 +0000\",\"journal\":\"Philosophia Mathematica\",\"keywords\":\"Logic, Constructive mathematics, Philosophy\",\"pages\":\"131-168\",\"title\":\"Reality and Truth in Mathematics\",\"url_pdf\":\"reality.pdf\",\"volume\":\"6\",\"year\":\"1998\",\"bibtex\":\"@article{beeson1998b,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-13 23:30:24 +0000},\\n\\tdate-modified = {2014-11-14 20:03:35 +0000},\\n\\tjournal = {Philosophia Mathematica},\\n\\tkeywords = {Logic, Constructive mathematics, Philosophy},\\n\\tpages = {131-168},\\n\\ttitle = {Reality and Truth in Mathematics},\\n\\turl_pdf = {reality.pdf},\\n\\tvolume = {6},\\n\\tyear = {1998}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson1998b\",\"id\":\"beeson1998b\",\"bibbaseid\":\"beeson-realityandtruthinmathematics-1998\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/reality.pdf\"},\"keyword\":[\"Logic\",\"Constructive mathematics\",\"Philosophy\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:28:10 +0000\",\"date-modified\":\"2014-11-14 19:31:28 +0000\",\"journal\":\"Journal of Symbolic Computation\",\"keywords\":\"Automated deduction\",\"number\":\"4\",\"pages\":\"333-349\",\"title\":\"Automatic derivation of the irrationality of e\",\"url_pdf\":\"JSCVersion.pdf\",\"volume\":\"32\",\"year\":\"2001\",\"bibtex\":\"@article{beeson2001,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-13 23:28:10 +0000},\\n\\tdate-modified = {2014-11-14 19:31:28 +0000},\\n\\tjournal = {Journal of Symbolic Computation},\\n\\tkeywords = {Automated deduction},\\n\\tnumber = {4},\\n\\tpages = {333-349},\\n\\ttitle = {Automatic derivation of the irrationality of e},\\n\\turl_pdf = {JSCVersion.pdf},\\n\\tvolume = {32},\\n\\tyear = {2001}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2001\",\"id\":\"beeson2001\",\"bibbaseid\":\"beeson-automaticderivationoftheirrationalityofe-2001\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/JSCVersion.pdf\"},\"keyword\":[\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Freek\"],\"propositions\":[],\"lastnames\":[\"Wiedijk\"],\"suffixes\":[]}],\"booktitle\":\"Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences, AISC 2002 and Calculemus 2002, Marseille, France, July 2002, Proceedings\",\"date-added\":\"2014-11-13 23:20:17 +0000\",\"date-modified\":\"2014-11-14 18:15:19 +0000\",\"editor\":[{\"firstnames\":[\"Jacques\"],\"propositions\":[],\"lastnames\":[\"Calmet\"],\"suffixes\":[]},{\"firstnames\":[\"Belaid\"],\"propositions\":[],\"lastnames\":[\"Benhamou\"],\"suffixes\":[]},{\"firstnames\":[\"Olga\"],\"propositions\":[],\"lastnames\":[\"Caprotti\"],\"suffixes\":[]},{\"firstnames\":[\"Laurent\"],\"propositions\":[],\"lastnames\":[\"Henocque\"],\"suffixes\":[]},{\"firstnames\":[\"Volker\"],\"propositions\":[],\"lastnames\":[\"Sorge\"],\"suffixes\":[]}],\"keywords\":\"Logic, Symbolic computation\",\"pages\":\"246-258\",\"title\":\"The meaning of infinity in calculus and computer algebra systems\",\"year\":\"2002\",\"bibtex\":\"@inproceedings{beeson2002-wiedijk,\\n\\tauthor = {Michael Beeson and Freek Wiedijk},\\n\\tbooktitle = {Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences, AISC 2002 and Calculemus 2002, Marseille, France, July 2002, Proceedings},\\n\\tdate-added = {2014-11-13 23:20:17 +0000},\\n\\tdate-modified = {2014-11-14 18:15:19 +0000},\\n\\teditor = {Jacques Calmet and Belaid Benhamou and Olga Caprotti and Laurent Henocque and Volker Sorge},\\n\\tkeywords = {Logic, Symbolic computation},\\n\\tpages = {246-258},\\n\\ttitle = {The meaning of infinity in calculus and computer algebra systems},\\n\\tyear = {2002}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Wiedijk, F.\"],\"editor_short\":[\"Calmet, J.\",\"Benhamou, B.\",\"Caprotti, O.\",\"Henocque, L.\",\"Sorge, V.\"],\"key\":\"beeson2002-wiedijk\",\"id\":\"beeson2002-wiedijk\",\"bibbaseid\":\"beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2002\",\"role\":\"author\",\"urls\":{},\"keyword\":[\"Logic\",\"Symbolic computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"address\":\"Berlin Heidelberg New York\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Alan Turing: Life and Legacy of a Great Thinker\",\"date-added\":\"2014-11-13 23:16:55 +0000\",\"date-modified\":\"2014-11-14 18:15:34 +0000\",\"editor\":[{\"firstnames\":[\"Christopher\"],\"propositions\":[],\"lastnames\":[\"Teuscher\"],\"suffixes\":[]}],\"keywords\":\"Automated deduction\",\"pages\":\"77-134\",\"publisher\":\"Springer-Verlag\",\"title\":\"The mechanization of mathematics\",\"url_pdf\":\"turing2.pdf\",\"year\":\"2003\",\"bibtex\":\"@incollection{beeson2003,\\n\\taddress = {Berlin Heidelberg New York},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Alan Turing: Life and Legacy of a Great Thinker},\\n\\tdate-added = {2014-11-13 23:16:55 +0000},\\n\\tdate-modified = {2014-11-14 18:15:34 +0000},\\n\\teditor = {Christopher Teuscher},\\n\\tkeywords = {Automated deduction},\\n\\tpages = {77-134},\\n\\tpublisher = {Springer-Verlag},\\n\\ttitle = {The mechanization of mathematics},\\n\\turl_pdf = {turing2.pdf},\\n\\tyear = {2003}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Teuscher, C.\"],\"key\":\"beeson2003\",\"id\":\"beeson2003\",\"bibbaseid\":\"beeson-themechanizationofmathematics-2003\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/turing2.pdf\"},\"keyword\":[\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":2,\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings\",\"date-added\":\"2014-11-13 23:14:14 +0000\",\"date-modified\":\"2014-11-17 17:29:15 +0000\",\"keywords\":\"Automated deduction, Lambda calculus, Logic\",\"note\":\"The second link is to the published version; the first link is to a revised and corrected version.\",\"pages\":\"460-474\",\"series\":\"Lecture Notes in Artificial Intelligence\",\"title\":\"Lambda Logic\",\"url_pdf\":\"LambdaLogic.pdf\",\"url_pdf2\":\"LambdaLogicOriginal.pdf\",\"volume\":\"3097\",\"year\":\"2004\",\"bibtex\":\"@inproceedings{beeson2004,\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings},\\n\\tdate-added = {2014-11-13 23:14:14 +0000},\\n\\tdate-modified = {2014-11-17 17:29:15 +0000},\\n\\tkeywords = {Automated deduction, Lambda calculus, Logic},\\n\\tnote = {The second link is to the published version; the first link is to a revised and corrected version.},\\n\\tpages = {460-474},\\n\\tseries = {Lecture Notes in Artificial Intelligence},\\n\\ttitle = {Lambda Logic},\\n\\turl_pdf = {LambdaLogic.pdf},\\n\\turl_pdf2 = {LambdaLogicOriginal.pdf},\\n\\tvolume = {3097},\\n\\tyear = {2004}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2004\",\"id\":\"beeson2004\",\"bibbaseid\":\"beeson-lambdalogic-2004\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/LambdaLogic.pdf\",\" pdf2\":\"http://www.michaelbeeson.com/research/papers/LambdaLogicOriginal.pdf\"},\"keyword\":[\"Automated deduction\",\"Lambda calculus\",\"Logic\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":3,\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Robert\"],\"propositions\":[],\"lastnames\":[\"Veroff\"],\"suffixes\":[]},{\"firstnames\":[\"Larry\"],\"propositions\":[],\"lastnames\":[\"Wos\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:12:48 +0000\",\"date-modified\":\"2014-11-14 18:16:30 +0000\",\"journal\":\"Studia Logica\",\"keywords\":\"Automated deduction, Logic\",\"number\":\"2-3\",\"pages\":\"195-234\",\"title\":\"Double negation elimination in some propositional logics\",\"url_pdf\":\"dn.pdf\",\"volume\":\"80\",\"year\":\"2005\",\"bibtex\":\"@article{beeson2005-veroff-wos,\\n\\tauthor = {Michael Beeson and Robert Veroff and Larry Wos},\\n\\tdate-added = {2014-11-13 23:12:48 +0000},\\n\\tdate-modified = {2014-11-14 18:16:30 +0000},\\n\\tjournal = {Studia Logica},\\n\\tkeywords = {Automated deduction, Logic},\\n\\tnumber = {2-3},\\n\\tpages = {195-234},\\n\\ttitle = {Double negation elimination in some propositional logics},\\n\\turl_pdf = {dn.pdf},\\n\\tvolume = {80},\\n\\tyear = {2005}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Veroff, R.\",\"Wos, L.\"],\"key\":\"beeson2005-veroff-wos\",\"id\":\"beeson2005-veroff-wos\",\"bibbaseid\":\"beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/dn.pdf\"},\"keyword\":[\"Automated deduction\",\"Logic\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Freek\"],\"propositions\":[],\"lastnames\":[\"Wiedijk\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:11:09 +0000\",\"date-modified\":\"2014-11-14 16:58:28 +0000\",\"journal\":\"Journal of Symbolic Computation\",\"keywords\":\"Logic, Symbolic computation\",\"number\":\"5\",\"pages\":\"523-538\",\"title\":\"The meaning of infinity in calculus and computer algebra systems\",\"url_pdf\":\"LimitTheory.pdf\",\"volume\":\"39\",\"year\":\"2005\",\"bibtex\":\"@article{beeson2005-wiedijk,\\n\\tauthor = {Michael Beeson and Freek Wiedijk},\\n\\tdate-added = {2014-11-13 23:11:09 +0000},\\n\\tdate-modified = {2014-11-14 16:58:28 +0000},\\n\\tjournal = {Journal of Symbolic Computation},\\n\\tkeywords = {Logic, Symbolic computation},\\n\\tnumber = {5},\\n\\tpages = {523-538},\\n\\ttitle = {The meaning of infinity in calculus and computer algebra systems},\\n\\turl_pdf = {LimitTheory.pdf},\\n\\tvolume = {39},\\n\\tyear = {2005}}\\n\\n\",\"author_short\":[\"Beeson, M.\",\"Wiedijk, F.\"],\"key\":\"beeson2005-wiedijk\",\"id\":\"beeson2005-wiedijk\",\"bibbaseid\":\"beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/LimitTheory.pdf\"},\"keyword\":[\"Logic\",\"Symbolic computation\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"incollection\",\"type\":\"incollection\",\"address\":\"Milan\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Essays on the Foundations of Mathematics and Logic\",\"date-added\":\"2014-11-13 23:09:07 +0000\",\"date-modified\":\"2014-11-14 18:16:21 +0000\",\"keywords\":\"Logic, Constructive mathematics\",\"publisher\":\"Polimetrica\",\"title\":\"Constructivity, computability, and the continuum\",\"url_pdf\":\"ccc.pdf\",\"volume\":\"2\",\"year\":\"2005\",\"bibtex\":\"@incollection{beeson2005,\\n\\taddress = {Milan},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Essays on the Foundations of Mathematics and Logic},\\n\\tdate-added = {2014-11-13 23:09:07 +0000},\\n\\tdate-modified = {2014-11-14 18:16:21 +0000},\\n\\tkeywords = {Logic, Constructive mathematics},\\n\\tpublisher = {Polimetrica},\\n\\ttitle = {Constructivity, computability, and the continuum},\\n\\turl_pdf = {ccc.pdf},\\n\\tvolume = {2},\\n\\tyear = {2005}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2005\",\"id\":\"beeson2005\",\"bibbaseid\":\"beeson-constructivitycomputabilityandthecontinuum-2005\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ccc.pdf\"},\"keyword\":[\"Logic\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"article\",\"type\":\"article\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"date-added\":\"2014-11-13 23:07:51 +0000\",\"date-modified\":\"2014-11-14 18:30:04 +0000\",\"journal\":\"Journal of Automated Reasoning\",\"keywords\":\"Automated deduction\",\"number\":\"4\",\"pages\":\"311-344\",\"title\":\"Mathematical Induction in Otter-lambda\",\"url_pdf\":\"induction.pdf\",\"volume\":\"36\",\"year\":\"2006\",\"bibtex\":\"@article{beeson2006,\\n\\tauthor = {Michael Beeson},\\n\\tdate-added = {2014-11-13 23:07:51 +0000},\\n\\tdate-modified = {2014-11-14 18:30:04 +0000},\\n\\tjournal = {Journal of Automated Reasoning},\\n\\tkeywords = {Automated deduction},\\n\\tnumber = {4},\\n\\tpages = {311-344},\\n\\ttitle = {Mathematical Induction in {O}tter-lambda},\\n\\turl_pdf = {induction.pdf},\\n\\tvolume = {36},\\n\\tyear = {2006}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"key\":\"beeson2006\",\"id\":\"beeson2006\",\"bibbaseid\":\"beeson-mathematicalinductioninotterlambda-2006\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/induction.pdf\"},\"keyword\":[\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Singapore\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Proceedings of the Tenth Asian Logic Colloquium, Kobe, Japan, 2008\",\"date-added\":\"2014-11-13 23:03:00 +0000\",\"date-modified\":\"2014-11-15 01:17:11 +0000\",\"editor\":[{\"firstnames\":[\"T.\"],\"propositions\":[],\"lastnames\":[\"Arai\"],\"suffixes\":[]},{\"firstnames\":[\"J.\"],\"propositions\":[],\"lastnames\":[\"Brendle\"],\"suffixes\":[]},{\"firstnames\":[\"C. T.\"],\"propositions\":[],\"lastnames\":[\"Chong\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"R. Downey\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"Q. Feng\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"H. Kikyou\"],\"suffixes\":[]},{\"firstnames\":[],\"propositions\":[],\"lastnames\":[\"H. Ono\"],\"suffixes\":[]}],\"keywords\":\"Geometry, Constructive mathematics\",\"pages\":\"19-84\",\"publisher\":\"World Scientific\",\"title\":\"Constructive Geometry\",\"url_pdf\":\"ConstructiveGeometryFinalPreprintVersion.pdf\",\"year\":\"2010\",\"bibtex\":\"@inproceedings{beeson2010,\\n\\taddress = {Singapore},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Proceedings of the Tenth Asian Logic Colloquium, Kobe, Japan, 2008},\\n\\tdate-added = {2014-11-13 23:03:00 +0000},\\n\\tdate-modified = {2014-11-15 01:17:11 +0000},\\n\\teditor = {T. Arai and J. Brendle and C.~T.~ Chong and R.~Downey and Q.~Feng and H.~Kikyou and H.~Ono},\\n\\tkeywords = {Geometry, Constructive mathematics},\\n\\tpages = {19-84},\\n\\tpublisher = {World Scientific},\\n\\ttitle = {Constructive Geometry},\\n\\turl_pdf = {ConstructiveGeometryFinalPreprintVersion.pdf},\\n\\tyear = {2010}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Arai, T.\",\"Brendle, J.\",\"Chong, C.\",\"R. Downey\",\"Q. Feng\",\"H. Kikyou\",\"H. Ono\"],\"key\":\"beeson2010\",\"id\":\"beeson2010\",\"bibbaseid\":\"beeson-constructivegeometry-2010\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryFinalPreprintVersion.pdf\"},\"keyword\":[\"Geometry\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Berlin Heidelberg\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Computability in Europe 2012\",\"date-added\":\"2014-11-13 22:57:33 +0000\",\"date-modified\":\"2014-11-14 18:30:35 +0000\",\"editor\":[{\"firstnames\":[\"S.\",\"Barry\"],\"propositions\":[],\"lastnames\":[\"Cooper\"],\"suffixes\":[]},{\"firstnames\":[\"Anuj\"],\"propositions\":[],\"lastnames\":[\"Dawar\"],\"suffixes\":[]},{\"firstnames\":[\"Benedict\"],\"propositions\":[],\"lastnames\":[\"Loewe\"],\"suffixes\":[]}],\"keywords\":\"Geometry, Constructive mathematics\",\"pages\":\"46-55\",\"publisher\":\"Springer-Verlag\",\"series\":\"Theoretical Computer Science and General Issues\",\"title\":\"Logic of ruler and compass constructions\",\"url_pdf\":\"Cambridge.pdf\",\"volume\":\"7318\",\"year\":\"2012\",\"bibtex\":\"@inproceedings{beeson2012,\\n\\taddress = {Berlin Heidelberg},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Computability in Europe 2012},\\n\\tdate-added = {2014-11-13 22:57:33 +0000},\\n\\tdate-modified = {2014-11-14 18:30:35 +0000},\\n\\teditor = {S. Barry Cooper and Anuj Dawar and Benedict Loewe},\\n\\tkeywords = {Geometry, Constructive mathematics},\\n\\tpages = {46-55},\\n\\tpublisher = {Springer-Verlag},\\n\\tseries = {Theoretical Computer Science and General Issues},\\n\\ttitle = {Logic of ruler and compass constructions},\\n\\turl_pdf = {Cambridge.pdf},\\n\\tvolume = {7318},\\n\\tyear = {2012}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Cooper, S. B.\",\"Dawar, A.\",\"Loewe, B.\"],\"key\":\"beeson2012\",\"id\":\"beeson2012\",\"bibbaseid\":\"beeson-logicofrulerandcompassconstructions-2012\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/Cambridge.pdf\"},\"keyword\":[\"Geometry\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"address\":\"Berlin Heidelberg\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]}],\"booktitle\":\"Automated Deduction in Geometry (ADG 2012)\",\"date-added\":\"2014-11-13 22:54:27 +0000\",\"date-modified\":\"2014-11-14 18:30:43 +0000\",\"editor\":[{\"firstnames\":[\"Tetsuo\"],\"propositions\":[],\"lastnames\":[\"Ida\"],\"suffixes\":[]},{\"firstnames\":[\"Jacques\"],\"propositions\":[],\"lastnames\":[\"Fleuriot\"],\"suffixes\":[]}],\"keywords\":\"Geometry, Constructive mathematics\",\"pages\":\"1-30\",\"publisher\":\"Springer-Verlag\",\"series\":\"Springer Lecture Notes in Artificial Intelligence\",\"title\":\"Proof and Computation in Geometry\",\"url_pdf\":\"Edinburgh.pdf\",\"volume\":\"7993\",\"year\":\"2013\",\"bibtex\":\"@inproceedings{beeson2013,\\n\\taddress = {Berlin Heidelberg},\\n\\tauthor = {Michael Beeson},\\n\\tbooktitle = {Automated Deduction in Geometry (ADG 2012)},\\n\\tdate-added = {2014-11-13 22:54:27 +0000},\\n\\tdate-modified = {2014-11-14 18:30:43 +0000},\\n\\teditor = {Tetsuo Ida and Jacques Fleuriot},\\n\\tkeywords = {Geometry, Constructive mathematics},\\n\\tpages = {1-30},\\n\\tpublisher = {Springer-Verlag},\\n\\tseries = {Springer Lecture Notes in Artificial Intelligence},\\n\\ttitle = {Proof and Computation in Geometry},\\n\\turl_pdf = {Edinburgh.pdf},\\n\\tvolume = {7993},\\n\\tyear = {2013}}\\n\\n\",\"author_short\":[\"Beeson, M.\"],\"editor_short\":[\"Ida, T.\",\"Fleuriot, J.\"],\"key\":\"beeson2013\",\"id\":\"beeson2013\",\"bibbaseid\":\"beeson-proofandcomputationingeometry-2013\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/Edinburgh.pdf\"},\"keyword\":[\"Geometry\",\"Constructive mathematics\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"downloads\":1,\"html\":\"\"},{\"bibtype\":\"inproceedings\",\"type\":\"inproceedings\",\"author\":[{\"firstnames\":[\"Michael\"],\"propositions\":[],\"lastnames\":[\"Beeson\"],\"suffixes\":[]},{\"firstnames\":[\"Larry\"],\"propositions\":[],\"lastnames\":[\"Wos\"],\"suffixes\":[]}],\"booktitle\":\"7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, Vienna, Austria, July 19-22, 2014, Proceedings\",\"date-added\":\"2014-11-13 22:38:34 +0000\",\"date-modified\":\"2018-01-29 08:27:18 +0000\",\"editor\":[{\"firstnames\":[\"Stéphane\"],\"propositions\":[],\"lastnames\":[\"Demri\"],\"suffixes\":[]},{\"firstnames\":[\"Deepak\"],\"propositions\":[],\"lastnames\":[\"Kapur\"],\"suffixes\":[]},{\"firstnames\":[\"Christoph\"],\"propositions\":[],\"lastnames\":[\"Weidenbach\"],\"suffixes\":[]}],\"keywords\":\"Geometry, Automated deduction\",\"pages\":\"495-510\",\"publisher\":\"Springer\",\"series\":\"Lecture Notes in Computer Science\",\"title\":\"OTTER proofs in Tarskian geometry\",\"url_pdf\":\"TarskiFormalization.pdf\",\"volume\":\"8562\",\"year\":\"2014\",\"bibtex\":\"@inproceedings{beeson2014-wos,\\n\\tauthor = {Michael Beeson and Larry Wos},\\n\\tbooktitle = {7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, Vienna, Austria, July 19-22, 2014, Proceedings},\\n\\tdate-added = {2014-11-13 22:38:34 +0000},\\n\\tdate-modified = {2018-01-29 08:27:18 +0000},\\n\\teditor = {St{\\\\'e}phane Demri and Deepak Kapur and Christoph Weidenbach},\\n\\tkeywords = {Geometry, Automated deduction},\\n\\tpages = {495-510},\\n\\tpublisher = {Springer},\\n\\tseries = {Lecture Notes in Computer Science},\\n\\ttitle = {OTTER proofs in {T}arskian geometry},\\n\\turl_pdf = {TarskiFormalization.pdf},\\n\\tvolume = {8562},\\n\\tyear = {2014}}\\n\",\"author_short\":[\"Beeson, M.\",\"Wos, L.\"],\"editor_short\":[\"Demri, S.\",\"Kapur, D.\",\"Weidenbach, C.\"],\"key\":\"beeson2014-wos\",\"id\":\"beeson2014-wos\",\"bibbaseid\":\"beeson-wos-otterproofsintarskiangeometry-2014\",\"role\":\"author\",\"urls\":{\" pdf\":\"http://www.michaelbeeson.com/research/papers/TarskiFormalization.pdf\"},\"keyword\":[\"Geometry\",\"Automated deduction\"],\"metadata\":{\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\"html\":\"\"}],\n      metadata: {\"owner\":\"beeson, m\",\"authorlinks\":{\"beeson, m\":\"https://www.michaelbeeson.com/research/papers/pubs.php\"}},\n      ownerID: \"TqZdHatzyaM88iEPt\"\n    };\n  </script>\n\n  <script type=\"text/javascript\">\n  var site$;\n  if (typeof $ != 'undefined') {\n    console.log('existing jquery: storing and then restoring');\n    site$ = $;\n    $ = null;\n  }\n  </script>\n\n  <script src=\"https://ajax.googleapis.com/ajax/libs/jquery/2.2.4/jquery.min.js\">\n  </script>\n  <script type=\"text/javascript\">\n  if (site$) {\n    console.log('existing jquery: avoiding conflict and restoring');\n    bb$ = $.noConflict(true);\n    $ = site$;\n  } else {\n    bb$ = $;\n  }\n  </script>\n\n  <script src=\"//bibbase.org/js/bibbase.min.js\"\n          type=\"text/javascript\">\n  </script>\n\n  <script type=\"text/javascript\"\n          src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML\">\n  </script>\n  <script type=\"text/x-mathjax-config\">\n    MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\\\(','\\\\)']]},\n                        skipTags: [\"body\"],\n                        processClass: \"bibbase_paper\"});\n  </script>\n\n  <style>\n  @media print {\n    .dontprint {\n        display: none !important;\n    }\n\n  .bibbase_group {\n    background-color: #E0E0E0;\n    font-style: italic;\n    font-size: larger;\n    text-shadow: 0px 0px 3px #FFFFFF;\n    border-radius: 4px 4px 4px 4px;\n    -moz-border-radius: 4px 4px 4px 4px;\n    -webkit-border-radius: 4px;\n    padding: 5px 40px 5px;\n    margin-top: 10px;\n    margin-bottom: 5px;\n    cursor: pointer;\n  }\n\n  .bibbase_paper {\n    margin-bottom: 5px;\n  }\n\n  }\n  </style>\n\n  \n  <div style=\"float: right; margin-right: 10px; margin-top: 10px; text-align: right; font-size: 12px\">\n    generated by\n    <a href=\"//bibbase.org\"\n       onclick=\"trackOutboundLink('bibbase', 'logo clicked', window.location.href, '//bibbase.org'); return false;\">\n      <img src=\"//bibbase.org/img/logo.svg\"\n           style=\"vertical-align: middle; margin-left: 3px; height: 16px;\"/\n           alt=\"bibbase.org\"\n           title=\"BibBase – The easiest way to maintain your publications page.\"\n        ></a>\n    \n  </div>\n  \n\n  <div id=\"bibbase_header\" class=\"dontprint\" style=\"\">\n\n    <ul class=\"nav nav-pills\" style=\"margin: 0px;\">\n\n      <li class=\"dropdown\" id=\"groupby_dropdown\">\n      <a class=\"dropdown-toggle\"\n         data-toggle=\"dropdown\"\n         href=\"#\">\n          Group by\n          <b class=\"caret\"></b>\n      </a>\n      <ul class=\"dropdown-menu\">\n        <li class=\"groupby year\"><a onclick=\"groupby('year')\">\n            Year</a>\n        </li>\n        <li class=\"groupby author\"><a onclick=\"groupby('author_short')\">\n            Author</a>\n        </li>\n        <li class=\"groupby type\"><a onclick=\"groupby('type')\">\n            Type</a>\n        </li>\n        <li class=\"groupby keyword\"><a onclick=\"groupby('keyword')\">\n            Keyword</a>\n        </li>\n        <li class=\"groupby downloads\"><a onclick=\"groupby('downloads')\">\n            Downloads</a>\n        </li>\n      </ul>\n      </li>\n\n\n      <li class=\"dropdown\" id=\"menu_dropdown\">\n      <a class=\"dropdown-toggle\"\n         data-toggle=\"dropdown\"\n         href=\"#\" alt=\"controls\">\n          <i class=\"fa fa-reorder\" alt=\"controls\"></i>\n          <b class=\"caret\"></b>\n      </a>\n      <ul class=\"dropdown-menu\">\n        <li>\n          <a onclick=\"toggleAll()\">\n            <i class=\"fa fa-chevron-down fa-fw\"></i> Expand/Collapse All\n          </a>\n        </li>\n        <li>\n          <a download=\"beeson.bib\" href=\"data:text/bibtex;base64,@article{beeson2021b,
	author = {Michael Beeson},
	date-added = {2021-07-21 14:25:57 -0700},
	date-modified = {2021-07-21 14:28:37 -0700},
	title = {The {C}hurch numbers in {N}{F} set theory},
	url_pdf = {nf.pdf},
	year = {2021}}



@article{beeson2025,
	author = {Michael Beeson},
	date-added = {2021-03-23 13:15:55 -0700},
	date-modified = {2021-03-23 14:55:22 -0700},
	title = {Finite sets, mappings, cardinals, and  arithmetic in intuitionistic {NF}},
	url_pdf = {inf-basicsZML.pdf},
	year = {2025}}



@article{beeson2022,
	author = {Michael Beeson},
	date-added = {2021-03-12 08:22:28 -0800},
	date-modified = {2022-07-27 11:03:24 -0700},
	doi = {10.1080/00029890.2022.2069985},
	journal = {The American Mathematical Monthly},
	number = {7},
	pages = {623-646},
	title = {{E}uclid after computer proof-checking},
	url_pdf = {euclid2020.pdf},
	volume = {129},
	year = {2022}}



@article{beeson2020,
	author = {Michael Beeson},
	date-added = {2020-08-14 13:03:53 -0700},
	date-modified = {2022-07-27 11:02:50 -0700},
	doi = { 10.1007/s13366-022-00649-9},
	journal = {{B}eitr\"age zur {A}lgebra und {G}eometrie},
	month = {July},
	title = {On the Notion of Equal Figures in {E}uclid},
	url_pdf = {EqualFigures.pdf},
	year = {2022}}



@article{beeson-triangletiling3,
	author = {Michael Beeson},
	date-added = {2019-02-28 15:08:55 -0800},
	date-modified = {2021-03-23 13:15:42 -0700},
	note = {Available on ArXiv},
	title = {Triangle Tiling: the case $3\alpha + 2\beta = \pi$},
	url_pdf = {TriangleTiling3.pdf},
	year = {2019}}



@article{beeson-isosceles,
	author = {Michael Beeson},
	date-added = {2019-02-28 15:06:04 -0800},
	date-modified = {2021-03-23 13:15:30 -0700},
	note = {Available on ArXiv},
	title = {Tilings of an isosceles triangle},
	url_pdf = {IsoscelesTilings.pdf},
	year = {2019}}



@article{beeson-equilateral,
	author = {Michael Beeson},
	date-added = {2019-02-28 15:04:12 -0800},
	date-modified = {2021-03-23 13:15:16 -0700},
	note = {Available on ArXiv},
	read = {1},
	title = {Tiling an equilateral triangle},
	url_pdf = {TriangleTilingEquilateral.pdf},
	year = {2019}}



@article{beeson2019a,
	author = {Michael Beeson},
	date-added = {2018-11-25 10:28:35 -0800},
	date-modified = {2018-11-25 10:30:38 -0800},
	note = {Available on ArXiv},
	title = {No triangle can be cut into seven congruent triangles},
	url_pdf = {NoSevenTiling.pdf},
	year = {2018}}



@article{beeson2019,
	author = {Michael Beeson and Julien Narboux and Freek Wiedijk},
	date-added = {2018-05-26 01:28:07 +0000},
	date-modified = {2019-02-28 15:04:56 -0800},
	doi = {10.1007/s10472-018-9606-x},
	issn = {1573-7470},
	journal = {Annals of Mathematics and Artificial Intelligence},
	month = {January},
	number = {2},
	pages = {213-257},
	title = {Proof-Checking {E}uclid},
	url = {https://doi.org/10.1007/s10472-018-9606-x},
	url_pdf = {ProofCheckingEuclid.pdf},
	volume = {85},
	year = {2019},
	bdsk-url-1 = {https://doi.org/10.1007/s10472-018-9606-x}}



@article{beeson2018a,
	author = {Michael Beeson},
	date-added = {2016-11-19 15:57:58 +0000},
	date-modified = {2018-01-29 08:31:31 +0000},
	journal = {Indagationes Mathematicae},
	pages = {483-533},
	title = {{B}rouwer and {E}uclid},
	url_pdf = {BrouwerEuclid.pdf},
	volume = {29},
	year = {2018}}



@article{beeson2017a,
	author = {Michael Beeson and Larry Wos},
	date-added = {2015-10-06 19:33:01 +0000},
	date-modified = {2017-03-09 05:40:12 +0000},
	journal = {Journal of Automated Reasoning},
	month = {January},
	number = {1},
	pages = {181-207},
	title = {Finding Proofs in {T}arskian Geometry},
	url_pdf = {Tarski-JAR.pdf},
	volume = {58},
	year = {2017}}



@article{beeson2016a,
	author = {Michael Beeson},
	date-added = {2014-12-13 00:01:19 +0000},
	date-modified = {2015-06-04 18:20:43 +0000},
	journal = {Journal of Formalized Reasoning},
	number = {1},
	pages = {71-99},
	title = {Mixing Computations and Proofs},
	url_pdf = {ProofAndComputation.pdf},
	volume = {9},
	year = {2016}}



@inproceedings{beeson2005b,
	author = {Michael Beeson},
	booktitle = {LPAR-05 Workshop: Empirically Successful Automated Reasoning in Higher-Order Logic (ESHOL)},
	date-added = {2014-11-17 17:39:30 +0000},
	date-modified = {2014-11-17 18:05:43 +0000},
	editor = {Christoph Benzmueller and John Harrison and Carsten Schuermann},
	keywords = {Logic, Otter},
	note = {The first link leads to a slightly extended version. The second link leads to the entire workshop proceedings},
	title = {Implicit and explicit typing in lambda logic},
	url_pdf = {ImplicitAndExplicitTyping.pdf},
	url_pdf2 = {http://arxiv.org/abs/cs/0601042},
	year = {2005}}



@inproceedings{beeson2004b,
	author = {Michael Beeson},
	booktitle = {Proceedings of the ESFOR workshop at IJCAR 2004},
	date-added = {2014-11-17 17:33:33 +0000},
	date-modified = {2014-11-17 17:37:46 +0000},
	editor = {Geoff Sutcliffe and Stephan Schulz and Tanel Tammet},
	keywords = {Automated deduction, Otter},
	title = {Otter-lambda, a theorem-prover with untyped lambda-unification},
	url_pdf = {esfor.pdf},
	year = {2004}}



@inproceedings{beeson2002b,
	address = {Linz, Austria},
	author = {Michael Beeson},
	booktitle = {LMCS 2002. Logic, Mathematics and Computer Science: Interactions. Symposium in Honor of Bruno Buchberger's 60th Birthday},
	date-added = {2014-11-17 16:42:13 +0000},
	date-modified = {2014-11-17 18:05:05 +0000},
	editor = {Koji Nakagawa},
	keywords = {Otter, Unification, Automated deduction},
	number = {RISC Technical Report 02-60},
	publisher = {RISC},
	title = {Solving for functions},
	url_pdf = {http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf},
	year = {2002}}



@article{beeson1978b,
	author = {Michael Beeson},
	date-added = {2014-11-17 16:37:21 +0000},
	date-modified = {2014-11-17 18:04:36 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Constructive mathematics, Logic},
	pages = {228-246},
	title = {Some relations between classical and constructive mathematics},
	volume = {43},
	year = {1978}}



@article{beeson2015c-narboux-boutry,
	author = {Michael Beeson and Pierre Boutry and Julien Narboux},
	date-added = {2014-11-15 01:23:10 +0000},
	date-modified = {2015-06-25 19:08:05 +0000},
	journal = {Bulletin of Symbolic Logic},
	keywords = {Logic, Geometry},
	month = {June},
	number = {1},
	pages = {111-122},
	title = {{H}erbrand's theorem and non-{E}uclidean geometry},
	url_pdf = {HerbrandEuclid.pdf},
	volume = {21},
	year = {2015}}



@article{beeson2015b,
	author = {Michael Beeson},
	date-added = {2014-11-15 01:21:33 +0000},
	date-modified = {2015-10-08 17:57:18 +0000},
	doi = {10.1016/j.apal.2015.07.006},
	journal = {Annals of Pure and Applied Logic},
	keywords = {Constructive mathematics, Geometry, Logic},
	number = {11},
	pages = {1199-1273},
	title = {A constructive version of {T}arski's geometry},
	url_pdf = {ConstructiveTarski.pdf},
	volume = {166},
	year = {2015},
	bdsk-url-1 = {http://dx.doi.org/10.1016/j.apal.2015.07.006}}



@article{beeson2016b,
	author = {Michael Beeson},
	date-added = {2014-11-15 01:19:41 +0000},
	date-modified = {2016-06-08 22:16:45 +0000},
	journal = {Bulletin of Symbolic Logic},
	keywords = {Logic, Geometry, Constructive mathematics},
	month = {March},
	number = {1},
	pages = {1-104},
	title = {Constructive geometry and the parallel postulate},
	url_pdf = {ConstructiveGeometryAndTheParallelPostulate.pdf},
	volume = {22},
	year = {2016}}



@article{beeson2015,
	author = {Michael Beeson},
	date-added = {2014-11-15 01:14:46 +0000},
	date-modified = {2019-10-15 11:55:06 -0700},
	howpublished = {ArXiv},
	keywords = {Minimal surfaces},
	title = {A real analytic {J}ordan curve cannot bound infinitely many relative minima of area},
	url_pdf = {part3.pdf},
	year = {2015}}



@misc{beeson1997c,
	author = {Michael Beeson},
	date-added = {2014-11-14 22:41:12 +0000},
	date-modified = {2019-02-28 15:18:01 -0800},
	keywords = {Math{X}pert, Education, Software},
	note = {The current version of this software is sold by Help With Math.},
	publisher = {MathXpert Systems},
	title = {MathXpert Calculus Assistant},
	url_helpwithmath = {http://www.helpwithmath.com},
	year = {1997}}



@misc{beeson1997b,
	author = {Michael Beeson},
	date-added = {2014-11-14 22:39:49 +0000},
	date-modified = {2019-02-28 15:17:51 -0800},
	keywords = {MathXpert, Education, Software},
	note = {The current version of this software is sold by Help With Math.},
	publisher = {MathXpert Systems},
	title = {Math{X}pert Precalculus Assistant},
	url_helpwithmath = {http://www.helpwithmath.com},
	year = {1997}}



@misc{beeson1997a,
	author = {Michael Beeson},
	date-added = {2014-11-14 22:36:22 +0000},
	date-modified = {2019-02-28 15:17:40 -0800},
	keywords = {MathXpert, Education, Software},
	note = {The current version of this software is sold by Help With Math.},
	publisher = {MathXpert Systems},
	title = {Math{X}pert Algebra Assistant},
	url_helpwithmath = {http://www.helpwithmath.com},
	year = {1997}}



@incollection{beeson2011,
	author = {Michael Beeson and Jay Halcomb and Wolfgang Mayer},
	booktitle = {ATE-2011, Automated Theory Engineering, Proceedings of the First Workshop on Automated Theory Engineering, Co-Located with the 23rd International Conference on Automated Deduction Wroclaw, Poland, July 31, 2011},
	date-added = {2014-11-14 22:23:30 +0000},
	date-modified = {2014-11-14 22:31:29 +0000},
	editor = {Peter H{\"o}fner and Annabelle McIver and George Struth},
	keywords = {Automated deduction, PSL},
	pages = {9-19},
	publisher = {CEUR},
	title = {Inconsistencies in the Process Specification Language (PSL)},
	url_pdf = {PSL_Inconsistencies.pdf},
	year = {2011}}



@incollection{beeson1991,
	author = {Michael Beeson},
	booktitle = {Extensions of Logic Programming},
	date-added = {2014-11-14 21:57:08 +0000},
	date-modified = {2019-10-15 11:47:36 -0700},
	editor = {P. Schroeder-Heister},
	keywords = {Proof theory, Automated deduction},
	pages = {101-156},
	publisher = {Springer-Verlag},
	series = {Lecture Notes in Computer Science},
	title = {Some applications of {G}entzen's proof theory to automated deduction},
	url_pdf = {Gentzen.pdf},
	volume = {475},
	year = {1991}}



@article{beeson1990,
	author = {Michael Beeson},
	date-added = {2014-11-14 21:55:49 +0000},
	date-modified = {2014-11-14 21:56:52 +0000},
	journal = {Journal of Artificial Intelligence and Education},
	keywords = {MathXpert, Education},
	pages = {65-76},
	title = {A computerized environment for learning algebra, trigonometry, and calculus},
	volume = {1},
	year = {1990}}



@incollection{beeson1989c,
	address = {Berlin Heidelberg New York},
	author = {Michael Beeson},
	booktitle = {Computers and Mathematics '89},
	date-added = {2014-11-14 21:54:16 +0000},
	date-modified = {2014-11-14 21:55:33 +0000},
	keywords = {MathXpert, Logic, Computation},
	pages = {202-214},
	publisher = {Springer-Verlag},
	title = {Logic and computation in {M}athpert: An expert system for learning mathematics},
	year = {1989}}



@inproceedings{beeson1989b,
	address = {Amsterdam},
	author = {Michael Beeson},
	booktitle = {Artificial Intelligence and Education '89},
	date-added = {2014-11-14 21:52:19 +0000},
	date-modified = {2014-11-14 21:53:46 +0000},
	editor = {Bierman and Breuker and Sandberg},
	keywords = {MathXpert, Education},
	pages = {9-14},
	publisher = {IOS},
	title = {The user model in {M}athpert, an expert system for learning mathematics},
	year = {1989}}



@inproceedings{beeson1989a,
	author = {Michael Beeson},
	booktitle = {Proceedings of the Conference on Technology in Collegiate Mathematics Education, Columbus, Ohio, October, 1988},
	date-added = {2014-11-14 21:49:58 +0000},
	date-modified = {2014-11-14 21:54:11 +0000},
	keywords = {MathXpert, Education},
	pages = {9-14},
	publisher = {Addison-Wesley},
	title = {{M}athpert: An expert system for learning mathematics},
	year = {1989}}



@article{beeson1988b,
	author = {Michael Beeson},
	date-added = {2014-11-14 21:47:14 +0000},
	date-modified = {2014-11-14 21:48:38 +0000},
	journal = {Theoretical Computer Science},
	keywords = {Logic, Set theory, Symbolic computation},
	pages = {297-340},
	title = {Towards a computation system based on set theory,},
	url_pdf = {beeson1988b.pdf},
	volume = {60},
	year = {1988}}



@incollection{beeson1988a,
	author = {Michael Beeson},
	booktitle = {The Universal Turing Machine: A Half-Century Survey},
	date-added = {2014-11-14 21:44:47 +0000},
	date-modified = {2014-11-14 21:48:56 +0000},
	editor = {R. Herken},
	keywords = {Logic, Computation},
	note = {Second edition, Springer-Verlag (1994)},
	publisher = {Oxford University Press},
	title = {Computerizing Mathematics: Logic and Computation},
	year = {1988}}



@incollection{beeson1987,
	address = {Providence, R.~I.},
	author = {Michael Beeson},
	booktitle = {Logic and Computation},
	date-added = {2014-11-14 21:43:00 +0000},
	date-modified = {2014-11-14 21:44:29 +0000},
	keywords = {Logic, Constructive mathematics},
	publisher = {American Mathematical Society},
	series = {Contemporary Mathematics},
	title = {Some theories conservative over intuitionistic arithmetic},
	volume = {106},
	year = {1987}}



@inproceedings{beeson1986,
	author = {Michael Beeson},
	booktitle = {Logic, Methodology, and Philosophy of Science VII, proceedings of the International Congress, Salzburg, 1983},
	date-added = {2014-11-14 21:40:22 +0000},
	date-modified = {2014-11-14 21:49:25 +0000},
	editor = {Ruth Barcus and Marcus and Dorn and Weingartner},
	keywords = {Logic, Computation},
	note = {This paper has been translated into French and Russian.},
	pages = {51-81},
	title = {Proving programs and programming proofs},
	year = {1986}}



@article{beeson1982b,
	author = {Michael Beeson},
	date-added = {2014-11-14 21:38:25 +0000},
	date-modified = {2014-11-14 22:10:52 +0000},
	journal = {Mathematische Zeitschrift},
	keywords = {Minimal surfaces},
	pages = {1-30},
	title = {Some results on finiteness in {P}lateau's problem, Part {II}},
	volume = {181},
	year = {1982}}



@inproceedings{beeson1982c,
	address = {Amsterdam},
	author = {Michael Beeson},
	booktitle = {Logic Colloquium '80},
	date-added = {2014-11-14 21:03:24 +0000},
	date-modified = {2014-11-14 22:13:45 +0000},
	editor = {Dirk van Dalen and D.~Lascar and J.~Smiley},
	keywords = {Logic, Constructive mathematics},
	pages = {11-55},
	publisher = {North-Holland},
	title = {Problematic principles in constructive mathematics},
	year = {1982}}



@article{beeson1980c,
	author = {Michael Beeson},
	date-added = {2014-11-14 21:01:14 +0000},
	date-modified = {2014-11-14 21:02:51 +0000},
	journal = {Pacific Journal of Mathematics},
	keywords = {Logic, Constructive mathematics},
	pages = {1-28},
	title = {Extensionality and choice in constructive mathematics},
	volume = {88},
	year = {1980}}



@article{beeson2002a,
	author = {Michael Beeson},
	date-added = {2014-11-14 19:22:39 +0000},
	date-modified = {2014-11-17 18:09:15 +0000},
	journal = {Sciences et Techniques Educatives},
	keywords = {MathXpert, Education},
	note = {The link is to the English original; I do not have a copy of the French published version.},
	number = {1-2},
	title = {Math{X}pert : un logiciel pour aider les {\'e}l{\`e}ves {\`a} apprendre les math{\'e}matiques par l'action},
	url_pdf = {English-ste.pdf},
	volume = {9},
	year = {2002}}



@inproceedings{beeson1981,
	author = {Michael Beeson},
	booktitle = {Constructive Mathematics, Proceedings, New Mexico, 1980},
	date-added = {2014-11-14 17:19:41 +0000},
	date-modified = {2014-11-14 18:11:16 +0000},
	editor = {Fred Richman},
	keywords = {Logic, Constructive mathematics},
	pages = {146-191},
	series = {Lecture Notes in Mathematics},
	title = {Formalizing constructive mathematics: why and how?},
	volume = {873},
	year = {1981}}



@inproceedings{beeson1979b,
	address = {Amsterdam},
	author = {Michael Beeson},
	booktitle = {Logic Colloquium '78},
	date-added = {2014-11-14 17:14:38 +0000},
	date-modified = {2014-11-14 18:10:55 +0000},
	editor = {M.~Boffa and Dirk van Dalen and D.~Lascar and J.~Smiley},
	keywords = {Logic, Constructive mathematics},
	publisher = {North-Holland},
	title = {Continuity in intuitionistic set theories},
	year = {1979}}



@article{beeson1979a,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:13:46 +0000},
	date-modified = {2014-11-14 18:10:48 +0000},
	journal = {Pacific Journal of Mathematics},
	keywords = {Logic, Constructive mathematics},
	pages = {1-16},
	title = {Goodman's theorem and beyond},
	volume = {84},
	year = {1979}}



@article{beeson1977c,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:12:47 +0000},
	date-modified = {2014-11-14 18:10:08 +0000},
	journal = {Pacific Journal of Mathematics},
	keywords = {Minimal surfaces},
	pages = {11-17},
	title = {Non-continuous dependence of surfaces of least area on the boundary curve},
	year = {1977}}



@article{beeson1977b,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:11:54 +0000},
	date-modified = {2014-11-14 18:09:59 +0000},
	journal = {Annals of Mathematical Logic},
	keywords = {Logic, Constructive mathematics},
	pages = {249-322},
	title = {Principles of continuous choice and continuity of functions in formal systems for constructive mathematics},
	year = {1977}}



@article{beeson1977a,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:10:43 +0000},
	date-modified = {2014-11-14 18:09:54 +0000},
	journal = {Pacific Journal of Mathematics},
	keywords = {Logic, Constructive mathematics},
	pages = {29-40},
	title = {Continuity and comprehension in intuitionistic formal systems},
	volume = {68},
	year = {1977}}



@phdthesis{beeson1972,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:09:32 +0000},
	date-modified = {2014-11-14 18:09:23 +0000},
	keywords = {Logic, Constructive mathematics},
	school = {Stanford},
	title = {The metamathematics of constructive theories of effective operations},
	year = {1972}}



@article{beeson1976b,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:08:25 +0000},
	date-modified = {2014-11-14 18:09:41 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Logic, Constructive mathematics},
	pages = {28-24},
	title = {The unprovability in intuitionistic formal systems of the continuity of effective operations on the reals},
	volume = {41},
	year = {1976}}



@article{beeson1976a,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:07:04 +0000},
	date-modified = {2014-11-14 18:09:32 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Logic, Constructive mathematics},
	pages = {321-346},
	title = {The non-derivability in intuitionistic formal systems of theorems on the continuity of effective operations},
	volume = {40},
	year = {1976}}



@article{beeson1976c,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:05:56 +0000},
	date-modified = {2014-11-14 18:09:47 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Logic, Constructive mathematics},
	pages = {328-336},
	title = {Derived rules of inference related to the continuity of effective operations},
	volume = {41},
	year = {1976}}



@article{beeson1980b,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:04:19 +0000},
	date-modified = {2014-11-14 22:10:41 +0000},
	journal = {Mathematische Zeitschrift},
	keywords = {Minimal surfaces},
	pages = {103-122},
	title = {Some results on finiteness in {P}lateau's problem, Part {I}},
	volume = {175},
	year = {1980}}



@article{beeson1980a,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:02:06 +0000},
	date-modified = {2014-11-14 18:11:05 +0000},
	journal = {Mathematische Zeitschrift},
	keywords = {Minimal surfaces},
	pages = {103-123},
	title = {On interior branch points of minimal surfaces},
	volume = {175},
	year = {1980}}



@article{beeson1978a,
	author = {Michael Beeson},
	date-added = {2014-11-14 17:00:54 +0000},
	date-modified = {2014-11-17 16:37:19 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Logic, Constructive mathematics, Proof theory},
	pages = {213-227},
	title = {A type-free {G}{\"o}del interpretation},
	volume = {43},
	year = {1978}}



@article{beeson1977d,
	author = {Michael Beeson},
	date-added = {2014-11-14 16:56:55 +0000},
	date-modified = {2014-11-14 18:10:25 +0000},
	journal = {Archive of Rational Mechanics and Analysis},
	keywords = {Minimal surfaces},
	pages = {213-227},
	title = {The behavior of a minimal surface in a corner},
	volume = {65},
	year = {1977}}



@article{beeson1982a,
	author = {Michael Beeson},
	date-added = {2014-11-14 16:55:21 +0000},
	date-modified = {2014-11-14 18:11:32 +0000},
	journal = {Annals of Mathematical Logic},
	keywords = {Logic, Constructive mathematics, Proof theory},
	pages = {127-178},
	title = {Recursive models for constructive set theories},
	volume = {23},
	year = {1982}}



@article{beeson1984-scedrov,
	author = {Michael Beeson and Andre Scedrov},
	date-added = {2014-11-14 16:53:41 +0000},
	date-modified = {2014-11-14 18:11:38 +0000},
	journal = {Journal of Symbolic Logic},
	keywords = {Logic, Constructive mathematics},
	pages = {273-308},
	title = {Church's thesis, continuity, and set theory},
	volume = {49},
	year = {1984}}



@article{beeson1984-tromba,
	author = {Michael Beeson and Anthony J. Tromba},
	date-added = {2014-11-14 16:52:15 +0000},
	date-modified = {2018-02-13 00:48:28 +0000},
	journal = {Manuscripta Mathematica},
	keywords = {Minimal surfaces},
	pages = {273-308},
	title = {The cusp catastrophe of {T}hom in the bifurcation of minimal surfaces},
	volume = {46},
	year = {1984}}



@article{beeson1985b,
	author = {Michael Beeson},
	date-added = {2014-11-14 16:50:41 +0000},
	date-modified = {2014-11-17 18:13:34 +0000},
	journal = {Pacific Journal of Mathematics},
	keywords = {Minimal surfaces},
	note = {The second link gives comments (written 2006) that simplify the proof and answer a question raised by Nitsche.},
	pages = {17-25},
	title = {The $6\pi$ theorem in minimal surfaces},
	url_pdf = {sixpi.pdf},
	url_pdf2 = {sixpiReview.pdf},
	volume = {117},
	year = {1985}}



@book{beeson1985a,
	address = {Berlin Heidelberg New York Tokyo},
	author = {Michael Beeson},
	date-added = {2014-11-14 16:48:13 +0000},
	date-modified = {2019-02-28 15:14:25 -0800},
	keywords = {Logic, Constructive mathematics},
	number = {6},
	publisher = {Springer},
	series = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
	title = {Foundations of Constructive Mathematics: Metamathematical Studies},
	year = {1985}}



@article{beeson1992a,
	author = {Michael Beeson},
	date-added = {2014-11-13 23:54:43 +0000},
	date-modified = {2014-11-14 20:07:17 +0000},
	journal = {American Mathematical Monthly},
	keywords = {Geometry},
	number = {3},
	pages = {243-252},
	title = {Triangles with vertices on lattice points},
	url_pdf = {triangle.pdf},
	volume = {99},
	year = {1992}}



@inproceedings{beeson1992b,
	author = {Michael Beeson},
	booktitle = {Logic Programming and Automated Reasoning},
	date-added = {2014-11-13 23:52:44 +0000},
	date-modified = {2014-11-14 21:59:02 +0000},
	editor = {A.~ Voronkov},
	keywords = {MathXpert, Symbolic computation, Education},
	pages = {454-457},
	series = {Lecture Notes in Artificial Intelligence},
	title = {{M}athpert: Computer support for learning algebra, trigonometry, and calculus},
	volume = {624},
	year = {1992}}



@inproceedings{beeson1992c,
	address = {Vienna},
	author = {Michael Beeson},
	booktitle = {Proceedings of the International Wittgenstein Symposium on Philosophy of Mathematics, Aug. 16-22, 1992},
	date-added = {2014-11-13 23:50:51 +0000},
	date-modified = {2014-11-14 20:06:33 +0000},
	editor = {J. Czermak},
	keywords = {Logic, Constructive mathematics},
	publisher = {Wittgenstein Society},
	title = {Constructivism in the Nineties},
	url_pdf = {const92.pdf},
	year = {1992}}



@incollection{beeson1998a,
	address = {Berlin Heidelberg New York},
	author = {Michael Beeson},
	booktitle = {Computer-Human Interaction in Symbolic Computation},
	date-added = {2014-11-13 23:48:07 +0000},
	date-modified = {2018-01-29 08:35:21 +0000},
	editor = {Norman Kajler},
	keywords = {MathXpert, Education},
	pages = {89-115},
	publisher = {Springer-Verlag},
	title = {Design Principles of {M}athpert: Software to support education in algebra and calculus},
	url_pdf = {hisc.pdf},
	year = {1998}}



@article{beeson1995,
	author = {Michael Beeson},
	date-added = {2014-11-13 23:45:44 +0000},
	date-modified = {2014-11-14 20:05:39 +0000},
	journal = {International Journal of Foundations of Computer Science},
	keywords = {Logic, MathXpert, Nonstandard analysis},
	number = {3},
	pages = {299-338},
	title = {Using nonstandard analysis to verify the correctness of computations},
	url_pdf = {nsappt.pdf},
	volume = {6},
	year = {1995}}



@inproceedings{beeson2001b,
	author = {Michael Beeson},
	booktitle = {Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings},
	date-added = {2014-11-13 23:38:15 +0000},
	date-modified = {2014-11-14 19:30:37 +0000},
	editor = {Rajeev Gore and Alexander Leitsch and Tobias Nipkow},
	keywords = {Automated deduction},
	pages = {318-324},
	publisher = {Springer-Verlag},
	title = {A second-order theorem prover applied to circumscription},
	url_pdf = {circumscription.pdf},
	volume = {2083},
	year = {2001}}



@inproceedings{beeson1998d,
	address = {Berlin Heidelberg New York},
	author = {Michael Beeson},
	booktitle = {Artificial Intelligence and Symbolic Computation},
	date-added = {2014-11-13 23:35:21 +0000},
	date-modified = {2014-11-14 19:32:10 +0000},
	editor = {Jacques Calmet and Jan Plaza},
	keywords = {Automated deduction},
	pages = {67-83},
	publisher = {Springer-Verlag},
	series = {Lecture Notes in Artificial Intelligence},
	title = {Automatic generation of epsilon-delta proofs of continuity},
	url_pdf = {aisc.pdf},
	volume = {1476},
	year = {1998}}



@inproceedings{beeson1998c,
	author = {Michael Beeson},
	booktitle = {15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings},
	date-added = {2014-11-13 23:31:21 +0000},
	date-modified = {2014-11-14 20:02:58 +0000},
	editor = {Claude Kirchner and Helene Kirchner},
	keywords = {Unification, Automated deduction, Lambda calculus},
	pages = {96-111},
	title = {Unification in lambda calculus with if-then-else},
	url_pdf = {Unify.pdf},
	year = {1998}}



@article{beeson1998b,
	author = {Michael Beeson},
	date-added = {2014-11-13 23:30:24 +0000},
	date-modified = {2014-11-14 20:03:35 +0000},
	journal = {Philosophia Mathematica},
	keywords = {Logic, Constructive mathematics, Philosophy},
	pages = {131-168},
	title = {Reality and Truth in Mathematics},
	url_pdf = {reality.pdf},
	volume = {6},
	year = {1998}}



@article{beeson2001,
	author = {Michael Beeson},
	date-added = {2014-11-13 23:28:10 +0000},
	date-modified = {2014-11-14 19:31:28 +0000},
	journal = {Journal of Symbolic Computation},
	keywords = {Automated deduction},
	number = {4},
	pages = {333-349},
	title = {Automatic derivation of the irrationality of e},
	url_pdf = {JSCVersion.pdf},
	volume = {32},
	year = {2001}}



@inproceedings{beeson2002-wiedijk,
	author = {Michael Beeson and Freek Wiedijk},
	booktitle = {Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences, AISC 2002 and Calculemus 2002, Marseille, France, July 2002, Proceedings},
	date-added = {2014-11-13 23:20:17 +0000},
	date-modified = {2014-11-14 18:15:19 +0000},
	editor = {Jacques Calmet and Belaid Benhamou and Olga Caprotti and Laurent Henocque and Volker Sorge},
	keywords = {Logic, Symbolic computation},
	pages = {246-258},
	title = {The meaning of infinity in calculus and computer algebra systems},
	year = {2002}}



@incollection{beeson2003,
	address = {Berlin Heidelberg New York},
	author = {Michael Beeson},
	booktitle = {Alan Turing: Life and Legacy of a Great Thinker},
	date-added = {2014-11-13 23:16:55 +0000},
	date-modified = {2014-11-14 18:15:34 +0000},
	editor = {Christopher Teuscher},
	keywords = {Automated deduction},
	pages = {77-134},
	publisher = {Springer-Verlag},
	title = {The mechanization of mathematics},
	url_pdf = {turing2.pdf},
	year = {2003}}



@inproceedings{beeson2004,
	author = {Michael Beeson},
	booktitle = {Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings},
	date-added = {2014-11-13 23:14:14 +0000},
	date-modified = {2014-11-17 17:29:15 +0000},
	keywords = {Automated deduction, Lambda calculus, Logic},
	note = {The second link is to the published version; the first link is to a revised and corrected version.},
	pages = {460-474},
	series = {Lecture Notes in Artificial Intelligence},
	title = {Lambda Logic},
	url_pdf = {LambdaLogic.pdf},
	url_pdf2 = {LambdaLogicOriginal.pdf},
	volume = {3097},
	year = {2004}}



@article{beeson2005-veroff-wos,
	author = {Michael Beeson and Robert Veroff and Larry Wos},
	date-added = {2014-11-13 23:12:48 +0000},
	date-modified = {2014-11-14 18:16:30 +0000},
	journal = {Studia Logica},
	keywords = {Automated deduction, Logic},
	number = {2-3},
	pages = {195-234},
	title = {Double negation elimination in some propositional logics},
	url_pdf = {dn.pdf},
	volume = {80},
	year = {2005}}



@article{beeson2005-wiedijk,
	author = {Michael Beeson and Freek Wiedijk},
	date-added = {2014-11-13 23:11:09 +0000},
	date-modified = {2014-11-14 16:58:28 +0000},
	journal = {Journal of Symbolic Computation},
	keywords = {Logic, Symbolic computation},
	number = {5},
	pages = {523-538},
	title = {The meaning of infinity in calculus and computer algebra systems},
	url_pdf = {LimitTheory.pdf},
	volume = {39},
	year = {2005}}



@incollection{beeson2005,
	address = {Milan},
	author = {Michael Beeson},
	booktitle = {Essays on the Foundations of Mathematics and Logic},
	date-added = {2014-11-13 23:09:07 +0000},
	date-modified = {2014-11-14 18:16:21 +0000},
	keywords = {Logic, Constructive mathematics},
	publisher = {Polimetrica},
	title = {Constructivity, computability, and the continuum},
	url_pdf = {ccc.pdf},
	volume = {2},
	year = {2005}}



@article{beeson2006,
	author = {Michael Beeson},
	date-added = {2014-11-13 23:07:51 +0000},
	date-modified = {2014-11-14 18:30:04 +0000},
	journal = {Journal of Automated Reasoning},
	keywords = {Automated deduction},
	number = {4},
	pages = {311-344},
	title = {Mathematical Induction in {O}tter-lambda},
	url_pdf = {induction.pdf},
	volume = {36},
	year = {2006}}



@inproceedings{beeson2010,
	address = {Singapore},
	author = {Michael Beeson},
	booktitle = {Proceedings of the Tenth Asian Logic Colloquium, Kobe, Japan, 2008},
	date-added = {2014-11-13 23:03:00 +0000},
	date-modified = {2014-11-15 01:17:11 +0000},
	editor = {T. Arai and J. Brendle and C.~T.~ Chong and R.~Downey and Q.~Feng and H.~Kikyou and H.~Ono},
	keywords = {Geometry, Constructive mathematics},
	pages = {19-84},
	publisher = {World Scientific},
	title = {Constructive Geometry},
	url_pdf = {ConstructiveGeometryFinalPreprintVersion.pdf},
	year = {2010}}



@inproceedings{beeson2012,
	address = {Berlin Heidelberg},
	author = {Michael Beeson},
	booktitle = {Computability in Europe 2012},
	date-added = {2014-11-13 22:57:33 +0000},
	date-modified = {2014-11-14 18:30:35 +0000},
	editor = {S. Barry Cooper and Anuj Dawar and Benedict Loewe},
	keywords = {Geometry, Constructive mathematics},
	pages = {46-55},
	publisher = {Springer-Verlag},
	series = {Theoretical Computer Science and General Issues},
	title = {Logic of ruler and compass constructions},
	url_pdf = {Cambridge.pdf},
	volume = {7318},
	year = {2012}}



@inproceedings{beeson2013,
	address = {Berlin Heidelberg},
	author = {Michael Beeson},
	booktitle = {Automated Deduction in Geometry (ADG 2012)},
	date-added = {2014-11-13 22:54:27 +0000},
	date-modified = {2014-11-14 18:30:43 +0000},
	editor = {Tetsuo Ida and Jacques Fleuriot},
	keywords = {Geometry, Constructive mathematics},
	pages = {1-30},
	publisher = {Springer-Verlag},
	series = {Springer Lecture Notes in Artificial Intelligence},
	title = {Proof and Computation in Geometry},
	url_pdf = {Edinburgh.pdf},
	volume = {7993},
	year = {2013}}



@inproceedings{beeson2014-wos,
	author = {Michael Beeson and Larry Wos},
	booktitle = {7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, Vienna, Austria, July 19-22, 2014, Proceedings},
	date-added = {2014-11-13 22:38:34 +0000},
	date-modified = {2018-01-29 08:27:18 +0000},
	editor = {St{\'e}phane Demri and Deepak Kapur and Christoph Weidenbach},
	keywords = {Geometry, Automated deduction},
	pages = {495-510},
	publisher = {Springer},
	series = {Lecture Notes in Computer Science},
	title = {OTTER proofs in {T}arskian geometry},
	url_pdf = {TarskiFormalization.pdf},
	volume = {8562},
	year = {2014}}
\">\n            <i class=\"fa fa-download fa-fw\"></i> Download BibTeX\n          </a>\n        </li>\n        <li>\n          <a href=\"//bibbase.org/rss?bib=http://www.michaelbeeson.com/research/papers/beeson.bib\">\n            <i class=\"fa fa-rss fa-fw\"></i> RSS Feed\n          </a>\n          </li>\n      </ul>\n      </li>\n\n      \n\n\n      \n    </ul>\n\n\n    <div class=\"alert alert-success bibbase_msg\" id=\"bibbase_msg_embed\"\n         style=\"display: none;\">\n\n      Excellent! Next you can\n      <a href=\"/network/register?next=/network/newSiteFromTemplate%3Fbiburl=http://www.michaelbeeson.com/research/papers/beeson.bib\"\n      >create a new website with this list</a>, or\n      embed it in an existing web page by copying &amp; pasting\n      any of the following snippets.\n\n      <div style=\"text-align: left; margin-top: 1em;\">\n        <strong>JavaScript</strong>\n        <span class=\"comment recommended\">(easiest)</span>\n        <div class=\"well well-small\">\n          <code>\n            &lt;script src=\"https://bibbase.org/show?bib=http%3A%2F%2Fwww.michaelbeeson.com%2Fresearch%2Fpapers%2Fbeeson.bib&amp;jsonp=1&amp;token=cfe0f11a8b7e4e458afef1b57fd0e8c7&amp;jsonp=1\"&gt;&lt;/script&gt;\n          </code>\n        </div>\n\n        <strong>PHP</strong>\n        <div class=\"well well-small\">\n          <code>\n            &lt;?php\n            $contents = file_get_contents(\"https://bibbase.org/show?bib=http%3A%2F%2Fwww.michaelbeeson.com%2Fresearch%2Fpapers%2Fbeeson.bib&amp;jsonp=1&amp;token=cfe0f11a8b7e4e458afef1b57fd0e8c7\");\n            print_r($contents);\n            ?&gt;\n          </code>\n        </div>\n\n        <strong>iFrame</strong>\n        <span class=\"comment\">(not recommended)</span>\n        <div class=\"well well-small\">\n          <code>\n            &lt;iframe src=\"https://bibbase.org/show?bib=http%3A%2F%2Fwww.michaelbeeson.com%2Fresearch%2Fpapers%2Fbeeson.bib&amp;jsonp=1&amp;token=cfe0f11a8b7e4e458afef1b57fd0e8c7\"&gt;&lt;/iframe&gt;\n          </code>\n        </div>\n\n        <p>\n          For more details see the <a href=\"//bibbase.org/help\">documention</a>.\n        </p>\n      </div>\n    </div>\n\n    <div class=\"alert alert-success bibbase_msg\" id=\"bibbase_msg_preview\"\n         style=\"display: none;\">\n\n      This is a preview! To use this list on your own web site\n      or create a new web site from it,\n      <a href=\"/network/register?next=/network/newAccountWithFile%3FfileId=\"\n      >create a free account</a>. The file will be added\n      and you will be able to edit it in the File Manager.\n      We will show you instructions once you've created your account.\n    </div>\n\n    <div class=\"alert alert-warning bibbase_msg\" id=\"bibbase_msg_mendeley1\"\n         style=\"display: none;\">\n\n      <p>To the site owner:</p>\n\n      <p><strong>Action required!</strong> Mendeley is changing its\n        API. In order to keep using Mendeley with BibBase past April\n        14th, you need to:\n        <ol>\n          <li>renew the authorization for BibBase on Mendeley, and</li>\n          <li>update the BibBase URL\n            in your page the same way you did when you initially set up\n            this page.\n          </li>\n        </ol>\n      </p>\n\n      <p>\n        <a href=\"http://bibbase.org/cgi-bin/mendeley2/get.py\">\n          <i class=\"fa fa-angle-double-right\"></i>\n          Fix it now</a>\n      </p>\n    </div>\n\n  </div>\n\n\n  <div id=\"bibbase_body\">\n    \n  \n  <div class=\"bibbase_group_whole\" id=\"group_2025\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2025')\"\n      onkeypress=\"toggleGroup('group_2025')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2025</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/inf-basicsZML.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025', 'http://www.michaelbeeson.com/research/papers/inf-basicsZML.pdf', event);\">\n    Finite sets, mappings, cardinals, and arithmetic in intuitionistic NF.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2025.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/inf-basicsZML.pdf\"\n     onclick=\"log_download('beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025', 'http://www.michaelbeeson.com/research/papers/inf-basicsZML.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Finite sets, mappings, cardinals, and arithmetic in intuitionistic NF [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>4 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-finitesetsmappingscardinalsandarithmeticinintuitionisticnf-2025')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2025,\n\tauthor = {Michael Beeson},\n\tdate-added = {2021-03-23 13:15:55 -0700},\n\tdate-modified = {2021-03-23 14:55:22 -0700},\n\ttitle = {Finite sets, mappings, cardinals, and  arithmetic in intuitionistic {NF}},\n\turl_pdf = {inf-basicsZML.pdf},\n\tyear = {2025}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2022\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2022')\"\n      onkeypress=\"toggleGroup('group_2022')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2022</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-euclidaftercomputerproofchecking-2022\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/euclid2020.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-euclidaftercomputerproofchecking-2022', 'http://www.michaelbeeson.com/research/papers/euclid2020.pdf', event);\">\n    Euclid after computer proof-checking.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>The American Mathematical Monthly</i>, 129(7): 623-646.  2022.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/euclid2020.pdf\"\n     onclick=\"log_download('beeson-euclidaftercomputerproofchecking-2022', 'http://www.michaelbeeson.com/research/papers/euclid2020.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Euclid after computer proof-checking [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"http://doi.org/10.1080/00029890.2022.2069985\"\n     onclick=\"log_download('beeson-euclidaftercomputerproofchecking-2022', 'http://doi.org/10.1080/00029890.2022.2069985', event.ctrlKey)\"\n     class=\"bibbase doi link\">\n    <span>doi</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-euclidaftercomputerproofchecking-2022\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>2 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-euclidaftercomputerproofchecking-2022')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2022,\n\tauthor = {Michael Beeson},\n\tdate-added = {2021-03-12 08:22:28 -0800},\n\tdate-modified = {2022-07-27 11:03:24 -0700},\n\tdoi = {10.1080/00029890.2022.2069985},\n\tjournal = {The American Mathematical Monthly},\n\tnumber = {7},\n\tpages = {623-646},\n\ttitle = {{E}uclid after computer proof-checking},\n\turl_pdf = {euclid2020.pdf},\n\tvolume = {129},\n\tyear = {2022}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-onthenotionofequalfiguresineuclid-2022\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/EqualFigures.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-onthenotionofequalfiguresineuclid-2022', 'http://www.michaelbeeson.com/research/papers/EqualFigures.pdf', event);\">\n    On the Notion of Equal Figures in Euclid.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Beiträge zur Algebra und Geometrie</i>. July 2022.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/EqualFigures.pdf\"\n     onclick=\"log_download('beeson-onthenotionofequalfiguresineuclid-2022', 'http://www.michaelbeeson.com/research/papers/EqualFigures.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"On the Notion of Equal Figures in Euclid [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"http://doi.org/10.1007/s13366-022-00649-9\"\n     onclick=\"log_download('beeson-onthenotionofequalfiguresineuclid-2022', 'http://doi.org/10.1007/s13366-022-00649-9', event.ctrlKey)\"\n     class=\"bibbase doi link\">\n    <span>doi</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-onthenotionofequalfiguresineuclid-2022\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-onthenotionofequalfiguresineuclid-2022')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2020,\n\tauthor = {Michael Beeson},\n\tdate-added = {2020-08-14 13:03:53 -0700},\n\tdate-modified = {2022-07-27 11:02:50 -0700},\n\tdoi = { 10.1007/s13366-022-00649-9},\n\tjournal = {{B}eitr\\&quot;age zur {A}lgebra und {G}eometrie},\n\tmonth = {July},\n\ttitle = {On the Notion of Equal Figures in {E}uclid},\n\turl_pdf = {EqualFigures.pdf},\n\tyear = {2022}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2021\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2021')\"\n      onkeypress=\"toggleGroup('group_2021')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2021</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-thechurchnumbersinnfsettheory-2021\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/nf.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-thechurchnumbersinnfsettheory-2021', 'http://www.michaelbeeson.com/research/papers/nf.pdf', event);\">\n    The Church numbers in NF set theory.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2021.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/nf.pdf\"\n     onclick=\"log_download('beeson-thechurchnumbersinnfsettheory-2021', 'http://www.michaelbeeson.com/research/papers/nf.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"The Church numbers in NF set theory [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-thechurchnumbersinnfsettheory-2021\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>2 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-thechurchnumbersinnfsettheory-2021')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2021b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2021-07-21 14:25:57 -0700},\n\tdate-modified = {2021-07-21 14:28:37 -0700},\n\ttitle = {The {C}hurch numbers in {N}{F} set theory},\n\turl_pdf = {nf.pdf},\n\tyear = {2021}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2019\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2019')\"\n      onkeypress=\"toggleGroup('group_2019')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2019</span>\n      <span class=\"bibbase_group_count\">\n        \n        (4)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-triangletilingthecase32-2019\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TriangleTiling3.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-triangletilingthecase32-2019', 'http://www.michaelbeeson.com/research/papers/TriangleTiling3.pdf', event);\">\n    Triangle Tiling: the case $3α + 2β = π$.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2019.\n  <span class=\"note\">Available on ArXiv</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TriangleTiling3.pdf\"\n     onclick=\"log_download('beeson-triangletilingthecase32-2019', 'http://www.michaelbeeson.com/research/papers/TriangleTiling3.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Triangle Tiling: the case $3α + 2β = π$ [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-triangletilingthecase32-2019\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-triangletilingthecase32-2019')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson-triangletiling3,\n\tauthor = {Michael Beeson},\n\tdate-added = {2019-02-28 15:08:55 -0800},\n\tdate-modified = {2021-03-23 13:15:42 -0700},\n\tnote = {Available on ArXiv},\n\ttitle = {Triangle Tiling: the case $3\\alpha + 2\\beta = \\pi$},\n\turl_pdf = {TriangleTiling3.pdf},\n\tyear = {2019}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-tilingsofanisoscelestriangle-2019\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/IsoscelesTilings.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-tilingsofanisoscelestriangle-2019', 'http://www.michaelbeeson.com/research/papers/IsoscelesTilings.pdf', event);\">\n    Tilings of an isosceles triangle.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2019.\n  <span class=\"note\">Available on ArXiv</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/IsoscelesTilings.pdf\"\n     onclick=\"log_download('beeson-tilingsofanisoscelestriangle-2019', 'http://www.michaelbeeson.com/research/papers/IsoscelesTilings.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Tilings of an isosceles triangle [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-tilingsofanisoscelestriangle-2019\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-tilingsofanisoscelestriangle-2019')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson-isosceles,\n\tauthor = {Michael Beeson},\n\tdate-added = {2019-02-28 15:06:04 -0800},\n\tdate-modified = {2021-03-23 13:15:30 -0700},\n\tnote = {Available on ArXiv},\n\ttitle = {Tilings of an isosceles triangle},\n\turl_pdf = {IsoscelesTilings.pdf},\n\tyear = {2019}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-tilinganequilateraltriangle-2019\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TriangleTilingEquilateral.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-tilinganequilateraltriangle-2019', 'http://www.michaelbeeson.com/research/papers/TriangleTilingEquilateral.pdf', event);\">\n    Tiling an equilateral triangle.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2019.\n  <span class=\"note\">Available on ArXiv</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TriangleTilingEquilateral.pdf\"\n     onclick=\"log_download('beeson-tilinganequilateraltriangle-2019', 'http://www.michaelbeeson.com/research/papers/TriangleTilingEquilateral.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Tiling an equilateral triangle [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-tilinganequilateraltriangle-2019\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-tilinganequilateraltriangle-2019')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson-equilateral,\n\tauthor = {Michael Beeson},\n\tdate-added = {2019-02-28 15:04:12 -0800},\n\tdate-modified = {2021-03-23 13:15:16 -0700},\n\tnote = {Available on ArXiv},\n\tread = {1},\n\ttitle = {Tiling an equilateral triangle},\n\turl_pdf = {TriangleTilingEquilateral.pdf},\n\tyear = {2019}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-narboux-wiedijk-proofcheckingeuclid-2019\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ProofCheckingEuclid.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-narboux-wiedijk-proofcheckingeuclid-2019', 'http://www.michaelbeeson.com/research/papers/ProofCheckingEuclid.pdf', event);\">\n    Proof-Checking Euclid.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>; Narboux, J.;  and Wiedijk, F.\n</span>\n\n  \n\n</span>\n\n  <i>Annals of Mathematics and Artificial Intelligence</i>, 85(2): 213-257. January 2019.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"https://doi.org/10.1007/s10472-018-9606-x\"\n     onclick=\"log_download('beeson-narboux-wiedijk-proofcheckingeuclid-2019', 'https://doi.org/10.1007/s10472-018-9606-x', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/link.svg\"\n\t     alt=\"Proof-Checking Euclid [link]\"\n       title=\"Paper\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\">Paper</span></a>\n  &nbsp;\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ProofCheckingEuclid.pdf\"\n     onclick=\"log_download('beeson-narboux-wiedijk-proofcheckingeuclid-2019', 'http://www.michaelbeeson.com/research/papers/ProofCheckingEuclid.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Proof-Checking Euclid [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"http://doi.org/10.1007/s10472-018-9606-x\"\n     onclick=\"log_download('beeson-narboux-wiedijk-proofcheckingeuclid-2019', 'http://doi.org/10.1007/s10472-018-9606-x', event.ctrlKey)\"\n     class=\"bibbase doi link\">\n    <span>doi</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-narboux-wiedijk-proofcheckingeuclid-2019\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-narboux-wiedijk-proofcheckingeuclid-2019')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2019,\n\tauthor = {Michael Beeson and Julien Narboux and Freek Wiedijk},\n\tdate-added = {2018-05-26 01:28:07 +0000},\n\tdate-modified = {2019-02-28 15:04:56 -0800},\n\tdoi = {10.1007/s10472-018-9606-x},\n\tissn = {1573-7470},\n\tjournal = {Annals of Mathematics and Artificial Intelligence},\n\tmonth = {January},\n\tnumber = {2},\n\tpages = {213-257},\n\ttitle = {Proof-Checking {E}uclid},\n\turl = {https://doi.org/10.1007/s10472-018-9606-x},\n\turl_pdf = {ProofCheckingEuclid.pdf},\n\tvolume = {85},\n\tyear = {2019},\n\tbdsk-url-1 = {https://doi.org/10.1007/s10472-018-9606-x}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2018\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2018')\"\n      onkeypress=\"toggleGroup('group_2018')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2018</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-notrianglecanbecutintosevencongruenttriangles-2018\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/NoSevenTiling.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-notrianglecanbecutintosevencongruenttriangles-2018', 'http://www.michaelbeeson.com/research/papers/NoSevenTiling.pdf', event);\">\n    No triangle can be cut into seven congruent triangles.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2018.\n  <span class=\"note\">Available on ArXiv</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/NoSevenTiling.pdf\"\n     onclick=\"log_download('beeson-notrianglecanbecutintosevencongruenttriangles-2018', 'http://www.michaelbeeson.com/research/papers/NoSevenTiling.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"No triangle can be cut into seven congruent triangles [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-notrianglecanbecutintosevencongruenttriangles-2018\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-notrianglecanbecutintosevencongruenttriangles-2018')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2019a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2018-11-25 10:28:35 -0800},\n\tdate-modified = {2018-11-25 10:30:38 -0800},\n\tnote = {Available on ArXiv},\n\ttitle = {No triangle can be cut into seven congruent triangles},\n\turl_pdf = {NoSevenTiling.pdf},\n\tyear = {2018}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-brouwerandeuclid-2018\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/BrouwerEuclid.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-brouwerandeuclid-2018', 'http://www.michaelbeeson.com/research/papers/BrouwerEuclid.pdf', event);\">\n    Brouwer and Euclid.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Indagationes Mathematicae</i>, 29: 483-533.  2018.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/BrouwerEuclid.pdf\"\n     onclick=\"log_download('beeson-brouwerandeuclid-2018', 'http://www.michaelbeeson.com/research/papers/BrouwerEuclid.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Brouwer and Euclid [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-brouwerandeuclid-2018\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-brouwerandeuclid-2018')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2018a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2016-11-19 15:57:58 +0000},\n\tdate-modified = {2018-01-29 08:31:31 +0000},\n\tjournal = {Indagationes Mathematicae},\n\tpages = {483-533},\n\ttitle = {{B}rouwer and {E}uclid},\n\turl_pdf = {BrouwerEuclid.pdf},\n\tvolume = {29},\n\tyear = {2018}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2017\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2017')\"\n      onkeypress=\"toggleGroup('group_2017')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2017</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-wos-findingproofsintarskiangeometry-2017\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Tarski-JAR.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-wos-findingproofsintarskiangeometry-2017', 'http://www.michaelbeeson.com/research/papers/Tarski-JAR.pdf', event);\">\n    Finding Proofs in Tarskian Geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Wos, L.\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Automated Reasoning</i>, 58(1): 181-207. January 2017.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Tarski-JAR.pdf\"\n     onclick=\"log_download('beeson-wos-findingproofsintarskiangeometry-2017', 'http://www.michaelbeeson.com/research/papers/Tarski-JAR.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Finding Proofs in Tarskian Geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-wos-findingproofsintarskiangeometry-2017\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-wos-findingproofsintarskiangeometry-2017')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2017a,\n\tauthor = {Michael Beeson and Larry Wos},\n\tdate-added = {2015-10-06 19:33:01 +0000},\n\tdate-modified = {2017-03-09 05:40:12 +0000},\n\tjournal = {Journal of Automated Reasoning},\n\tmonth = {January},\n\tnumber = {1},\n\tpages = {181-207},\n\ttitle = {Finding Proofs in {T}arskian Geometry},\n\turl_pdf = {Tarski-JAR.pdf},\n\tvolume = {58},\n\tyear = {2017}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2016\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2016')\"\n      onkeypress=\"toggleGroup('group_2016')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2016</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-mixingcomputationsandproofs-2016\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ProofAndComputation.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mixingcomputationsandproofs-2016', 'http://www.michaelbeeson.com/research/papers/ProofAndComputation.pdf', event);\">\n    Mixing Computations and Proofs.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Formalized Reasoning</i>, 9(1): 71-99.  2016.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ProofAndComputation.pdf\"\n     onclick=\"log_download('beeson-mixingcomputationsandproofs-2016', 'http://www.michaelbeeson.com/research/papers/ProofAndComputation.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Mixing Computations and Proofs [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mixingcomputationsandproofs-2016\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mixingcomputationsandproofs-2016')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2016a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-12-13 00:01:19 +0000},\n\tdate-modified = {2015-06-04 18:20:43 +0000},\n\tjournal = {Journal of Formalized Reasoning},\n\tnumber = {1},\n\tpages = {71-99},\n\ttitle = {Mixing Computations and Proofs},\n\turl_pdf = {ProofAndComputation.pdf},\n\tvolume = {9},\n\tyear = {2016}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-constructivegeometryandtheparallelpostulate-2016\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryAndTheParallelPostulate.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-constructivegeometryandtheparallelpostulate-2016', 'http://www.michaelbeeson.com/research/papers/ConstructiveGeometryAndTheParallelPostulate.pdf', event);\">\n    Constructive geometry and the parallel postulate.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Bulletin of Symbolic Logic</i>, 22(1): 1-104. March 2016.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryAndTheParallelPostulate.pdf\"\n     onclick=\"log_download('beeson-constructivegeometryandtheparallelpostulate-2016', 'http://www.michaelbeeson.com/research/papers/ConstructiveGeometryAndTheParallelPostulate.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Constructive geometry and the parallel postulate [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-constructivegeometryandtheparallelpostulate-2016\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-constructivegeometryandtheparallelpostulate-2016')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2016b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-15 01:19:41 +0000},\n\tdate-modified = {2016-06-08 22:16:45 +0000},\n\tjournal = {Bulletin of Symbolic Logic},\n\tkeywords = {Logic, Geometry, Constructive mathematics},\n\tmonth = {March},\n\tnumber = {1},\n\tpages = {1-104},\n\ttitle = {Constructive geometry and the parallel postulate},\n\turl_pdf = {ConstructiveGeometryAndTheParallelPostulate.pdf},\n\tvolume = {22},\n\tyear = {2016}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2015\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2015')\"\n      onkeypress=\"toggleGroup('group_2015')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2015</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/HerbrandEuclid.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015', 'http://www.michaelbeeson.com/research/papers/HerbrandEuclid.pdf', event);\">\n    Herbrand's theorem and non-Euclidean geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>; Boutry, P.;  and Narboux, J.\n</span>\n\n  \n\n</span>\n\n  <i>Bulletin of Symbolic Logic</i>, 21(1): 111-122. June 2015.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/HerbrandEuclid.pdf\"\n     onclick=\"log_download('beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015', 'http://www.michaelbeeson.com/research/papers/HerbrandEuclid.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Herbrand&#x27;s theorem and non-Euclidean geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-boutry-narboux-herbrandstheoremandnoneuclideangeometry-2015')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2015c-narboux-boutry,\n\tauthor = {Michael Beeson and Pierre Boutry and Julien Narboux},\n\tdate-added = {2014-11-15 01:23:10 +0000},\n\tdate-modified = {2015-06-25 19:08:05 +0000},\n\tjournal = {Bulletin of Symbolic Logic},\n\tkeywords = {Logic, Geometry},\n\tmonth = {June},\n\tnumber = {1},\n\tpages = {111-122},\n\ttitle = {{H}erbrand&#x27;s theorem and non-{E}uclidean geometry},\n\turl_pdf = {HerbrandEuclid.pdf},\n\tvolume = {21},\n\tyear = {2015}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-aconstructiveversionoftarskisgeometry-2015\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveTarski.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-aconstructiveversionoftarskisgeometry-2015', 'http://www.michaelbeeson.com/research/papers/ConstructiveTarski.pdf', event);\">\n    A constructive version of Tarski's geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Annals of Pure and Applied Logic</i>, 166(11): 1199-1273.  2015.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveTarski.pdf\"\n     onclick=\"log_download('beeson-aconstructiveversionoftarskisgeometry-2015', 'http://www.michaelbeeson.com/research/papers/ConstructiveTarski.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"A constructive version of Tarski&#x27;s geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"http://doi.org/10.1016/j.apal.2015.07.006\"\n     onclick=\"log_download('beeson-aconstructiveversionoftarskisgeometry-2015', 'http://doi.org/10.1016/j.apal.2015.07.006', event.ctrlKey)\"\n     class=\"bibbase doi link\">\n    <span>doi</span></a>\n  &nbsp;\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-aconstructiveversionoftarskisgeometry-2015\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-aconstructiveversionoftarskisgeometry-2015')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2015b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-15 01:21:33 +0000},\n\tdate-modified = {2015-10-08 17:57:18 +0000},\n\tdoi = {10.1016/j.apal.2015.07.006},\n\tjournal = {Annals of Pure and Applied Logic},\n\tkeywords = {Constructive mathematics, Geometry, Logic},\n\tnumber = {11},\n\tpages = {1199-1273},\n\ttitle = {A constructive version of {T}arski&#x27;s geometry},\n\turl_pdf = {ConstructiveTarski.pdf},\n\tvolume = {166},\n\tyear = {2015},\n\tbdsk-url-1 = {http://dx.doi.org/10.1016/j.apal.2015.07.006}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/part3.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015', 'http://www.michaelbeeson.com/research/papers/part3.pdf', event);\">\n    A real analytic Jordan curve cannot bound infinitely many relative minima of area.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  .  2015.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/part3.pdf\"\n     onclick=\"log_download('beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015', 'http://www.michaelbeeson.com/research/papers/part3.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"A real analytic Jordan curve cannot bound infinitely many relative minima of area [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-arealanalyticjordancurvecannotboundinfinitelymanyrelativeminimaofarea-2015')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2015,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-15 01:14:46 +0000},\n\tdate-modified = {2019-10-15 11:55:06 -0700},\n\thowpublished = {ArXiv},\n\tkeywords = {Minimal surfaces},\n\ttitle = {A real analytic {J}ordan curve cannot bound infinitely many relative minima of area},\n\turl_pdf = {part3.pdf},\n\tyear = {2015}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2014\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2014')\"\n      onkeypress=\"toggleGroup('group_2014')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2014</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-wos-otterproofsintarskiangeometry-2014\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TarskiFormalization.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-wos-otterproofsintarskiangeometry-2014', 'http://www.michaelbeeson.com/research/papers/TarskiFormalization.pdf', event);\">\n    OTTER proofs in Tarskian geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Wos, L.\n</span>\n\n  \n\n</span>\n\n  In Demri, S.; Kapur, D.;  and Weidenbach, C., editor(s), <i>7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, Vienna, Austria, July 19-22, 2014, Proceedings</i>, volume 8562, of <i>Lecture Notes in Computer Science</i>, pages 495-510,  2014. Springer\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/TarskiFormalization.pdf\"\n     onclick=\"log_download('beeson-wos-otterproofsintarskiangeometry-2014', 'http://www.michaelbeeson.com/research/papers/TarskiFormalization.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"OTTER proofs in Tarskian geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-wos-otterproofsintarskiangeometry-2014\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-wos-otterproofsintarskiangeometry-2014')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2014-wos,\n\tauthor = {Michael Beeson and Larry Wos},\n\tbooktitle = {7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, Vienna, Austria, July 19-22, 2014, Proceedings},\n\tdate-added = {2014-11-13 22:38:34 +0000},\n\tdate-modified = {2018-01-29 08:27:18 +0000},\n\teditor = {St{\\&#x27;e}phane Demri and Deepak Kapur and Christoph Weidenbach},\n\tkeywords = {Geometry, Automated deduction},\n\tpages = {495-510},\n\tpublisher = {Springer},\n\tseries = {Lecture Notes in Computer Science},\n\ttitle = {OTTER proofs in {T}arskian geometry},\n\turl_pdf = {TarskiFormalization.pdf},\n\tvolume = {8562},\n\tyear = {2014}}\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2013\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2013')\"\n      onkeypress=\"toggleGroup('group_2013')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2013</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-proofandcomputationingeometry-2013\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Edinburgh.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-proofandcomputationingeometry-2013', 'http://www.michaelbeeson.com/research/papers/Edinburgh.pdf', event);\">\n    Proof and Computation in Geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Ida, T.;  and Fleuriot, J., editor(s), <i>Automated Deduction in Geometry (ADG 2012)</i>, volume 7993, of <i>Springer Lecture Notes in Artificial Intelligence</i>, pages 1-30, Berlin Heidelberg,  2013. Springer-Verlag\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Edinburgh.pdf\"\n     onclick=\"log_download('beeson-proofandcomputationingeometry-2013', 'http://www.michaelbeeson.com/research/papers/Edinburgh.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Proof and Computation in Geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-proofandcomputationingeometry-2013\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-proofandcomputationingeometry-2013')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2013,\n\taddress = {Berlin Heidelberg},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Automated Deduction in Geometry (ADG 2012)},\n\tdate-added = {2014-11-13 22:54:27 +0000},\n\tdate-modified = {2014-11-14 18:30:43 +0000},\n\teditor = {Tetsuo Ida and Jacques Fleuriot},\n\tkeywords = {Geometry, Constructive mathematics},\n\tpages = {1-30},\n\tpublisher = {Springer-Verlag},\n\tseries = {Springer Lecture Notes in Artificial Intelligence},\n\ttitle = {Proof and Computation in Geometry},\n\turl_pdf = {Edinburgh.pdf},\n\tvolume = {7993},\n\tyear = {2013}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2012\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2012')\"\n      onkeypress=\"toggleGroup('group_2012')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2012</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-logicofrulerandcompassconstructions-2012\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Cambridge.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-logicofrulerandcompassconstructions-2012', 'http://www.michaelbeeson.com/research/papers/Cambridge.pdf', event);\">\n    Logic of ruler and compass constructions.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Cooper, S. B.; Dawar, A.;  and Loewe, B., editor(s), <i>Computability in Europe 2012</i>, volume 7318, of <i>Theoretical Computer Science and General Issues</i>, pages 46-55, Berlin Heidelberg,  2012. Springer-Verlag\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Cambridge.pdf\"\n     onclick=\"log_download('beeson-logicofrulerandcompassconstructions-2012', 'http://www.michaelbeeson.com/research/papers/Cambridge.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Logic of ruler and compass constructions [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-logicofrulerandcompassconstructions-2012\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-logicofrulerandcompassconstructions-2012')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2012,\n\taddress = {Berlin Heidelberg},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Computability in Europe 2012},\n\tdate-added = {2014-11-13 22:57:33 +0000},\n\tdate-modified = {2014-11-14 18:30:35 +0000},\n\teditor = {S. Barry Cooper and Anuj Dawar and Benedict Loewe},\n\tkeywords = {Geometry, Constructive mathematics},\n\tpages = {46-55},\n\tpublisher = {Springer-Verlag},\n\tseries = {Theoretical Computer Science and General Issues},\n\ttitle = {Logic of ruler and compass constructions},\n\turl_pdf = {Cambridge.pdf},\n\tvolume = {7318},\n\tyear = {2012}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2011\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2011')\"\n      onkeypress=\"toggleGroup('group_2011')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2011</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/PSL_Inconsistencies.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011', 'http://www.michaelbeeson.com/research/papers/PSL_Inconsistencies.pdf', event);\">\n    Inconsistencies in the Process Specification Language (PSL).\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>; Halcomb, J.;  and Mayer, W.\n</span>\n\n  \n\n</span>\n\n  In Höfner, P.; McIver, A.;  and Struth, G., editor(s), <i>ATE-2011, Automated Theory Engineering, Proceedings of the First Workshop on Automated Theory Engineering, Co-Located with the 23rd International Conference on Automated Deduction Wroclaw, Poland, July 31, 2011</i>, pages 9-19. CEUR,  2011.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/PSL_Inconsistencies.pdf\"\n     onclick=\"log_download('beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011', 'http://www.michaelbeeson.com/research/papers/PSL_Inconsistencies.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Inconsistencies in the Process Specification Language (PSL) [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-halcomb-mayer-inconsistenciesintheprocessspecificationlanguagepsl-2011')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson2011,\n\tauthor = {Michael Beeson and Jay Halcomb and Wolfgang Mayer},\n\tbooktitle = {ATE-2011, Automated Theory Engineering, Proceedings of the First Workshop on Automated Theory Engineering, Co-Located with the 23rd International Conference on Automated Deduction Wroclaw, Poland, July 31, 2011},\n\tdate-added = {2014-11-14 22:23:30 +0000},\n\tdate-modified = {2014-11-14 22:31:29 +0000},\n\teditor = {Peter H{\\&quot;o}fner and Annabelle McIver and George Struth},\n\tkeywords = {Automated deduction, PSL},\n\tpages = {9-19},\n\tpublisher = {CEUR},\n\ttitle = {Inconsistencies in the Process Specification Language (PSL)},\n\turl_pdf = {PSL_Inconsistencies.pdf},\n\tyear = {2011}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2010\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2010')\"\n      onkeypress=\"toggleGroup('group_2010')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2010</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-constructivegeometry-2010\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryFinalPreprintVersion.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-constructivegeometry-2010', 'http://www.michaelbeeson.com/research/papers/ConstructiveGeometryFinalPreprintVersion.pdf', event);\">\n    Constructive Geometry.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Arai, T.; Brendle, J.; Chong, C.; R. Downey; Q. Feng; H. Kikyou;  and H. Ono, editor(s), <i>Proceedings of the Tenth Asian Logic Colloquium, Kobe, Japan, 2008</i>, pages 19-84, Singapore,  2010. World Scientific\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ConstructiveGeometryFinalPreprintVersion.pdf\"\n     onclick=\"log_download('beeson-constructivegeometry-2010', 'http://www.michaelbeeson.com/research/papers/ConstructiveGeometryFinalPreprintVersion.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Constructive Geometry [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-constructivegeometry-2010\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-constructivegeometry-2010')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2010,\n\taddress = {Singapore},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Proceedings of the Tenth Asian Logic Colloquium, Kobe, Japan, 2008},\n\tdate-added = {2014-11-13 23:03:00 +0000},\n\tdate-modified = {2014-11-15 01:17:11 +0000},\n\teditor = {T. Arai and J. Brendle and C.~T.~ Chong and R.~Downey and Q.~Feng and H.~Kikyou and H.~Ono},\n\tkeywords = {Geometry, Constructive mathematics},\n\tpages = {19-84},\n\tpublisher = {World Scientific},\n\ttitle = {Constructive Geometry},\n\turl_pdf = {ConstructiveGeometryFinalPreprintVersion.pdf},\n\tyear = {2010}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2006\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2006')\"\n      onkeypress=\"toggleGroup('group_2006')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2006</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-mathematicalinductioninotterlambda-2006\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/induction.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mathematicalinductioninotterlambda-2006', 'http://www.michaelbeeson.com/research/papers/induction.pdf', event);\">\n    Mathematical Induction in Otter-lambda.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Automated Reasoning</i>, 36(4): 311-344.  2006.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/induction.pdf\"\n     onclick=\"log_download('beeson-mathematicalinductioninotterlambda-2006', 'http://www.michaelbeeson.com/research/papers/induction.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Mathematical Induction in Otter-lambda [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathematicalinductioninotterlambda-2006\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathematicalinductioninotterlambda-2006')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2006,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-13 23:07:51 +0000},\n\tdate-modified = {2014-11-14 18:30:04 +0000},\n\tjournal = {Journal of Automated Reasoning},\n\tkeywords = {Automated deduction},\n\tnumber = {4},\n\tpages = {311-344},\n\ttitle = {Mathematical Induction in {O}tter-lambda},\n\turl_pdf = {induction.pdf},\n\tvolume = {36},\n\tyear = {2006}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2005\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2005')\"\n      onkeypress=\"toggleGroup('group_2005')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2005</span>\n      <span class=\"bibbase_group_count\">\n        \n        (4)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-implicitandexplicittypinginlambdalogic-2005\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ImplicitAndExplicitTyping.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-implicitandexplicittypinginlambdalogic-2005', 'http://www.michaelbeeson.com/research/papers/ImplicitAndExplicitTyping.pdf', event);\">\n    Implicit and explicit typing in lambda logic.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Benzmueller, C.; Harrison, J.;  and Schuermann, C., editor(s), <i>LPAR-05 Workshop: Empirically Successful Automated Reasoning in Higher-Order Logic (ESHOL)</i>,  2005. \n  <span class=\"note\">The first link leads to a slightly extended version. The second link leads to the entire workshop proceedings</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ImplicitAndExplicitTyping.pdf\"\n     onclick=\"log_download('beeson-implicitandexplicittypinginlambdalogic-2005', 'http://www.michaelbeeson.com/research/papers/ImplicitAndExplicitTyping.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Implicit and explicit typing in lambda logic [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n  <a href=\"http://arxiv.org/abs/cs/0601042\"\n     onclick=\"log_download('beeson-implicitandexplicittypinginlambdalogic-2005', 'http://arxiv.org/abs/cs/0601042', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/link.svg\"\n\t     alt=\"Implicit and explicit typing in lambda logic [link]\"\n       title=\" pdf2\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf2</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-implicitandexplicittypinginlambdalogic-2005\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-implicitandexplicittypinginlambdalogic-2005')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2005b,\n\tauthor = {Michael Beeson},\n\tbooktitle = {LPAR-05 Workshop: Empirically Successful Automated Reasoning in Higher-Order Logic (ESHOL)},\n\tdate-added = {2014-11-17 17:39:30 +0000},\n\tdate-modified = {2014-11-17 18:05:43 +0000},\n\teditor = {Christoph Benzmueller and John Harrison and Carsten Schuermann},\n\tkeywords = {Logic, Otter},\n\tnote = {The first link leads to a slightly extended version. The second link leads to the entire workshop proceedings},\n\ttitle = {Implicit and explicit typing in lambda logic},\n\turl_pdf = {ImplicitAndExplicitTyping.pdf},\n\turl_pdf2 = {http://arxiv.org/abs/cs/0601042},\n\tyear = {2005}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/dn.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005', 'http://www.michaelbeeson.com/research/papers/dn.pdf', event);\">\n    Double negation elimination in some propositional logics.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>; Veroff, R.;  and Wos, L.\n</span>\n\n  \n\n</span>\n\n  <i>Studia Logica</i>, 80(2-3): 195-234.  2005.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/dn.pdf\"\n     onclick=\"log_download('beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005', 'http://www.michaelbeeson.com/research/papers/dn.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Double negation elimination in some propositional logics [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-veroff-wos-doublenegationeliminationinsomepropositionallogics-2005')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2005-veroff-wos,\n\tauthor = {Michael Beeson and Robert Veroff and Larry Wos},\n\tdate-added = {2014-11-13 23:12:48 +0000},\n\tdate-modified = {2014-11-14 18:16:30 +0000},\n\tjournal = {Studia Logica},\n\tkeywords = {Automated deduction, Logic},\n\tnumber = {2-3},\n\tpages = {195-234},\n\ttitle = {Double negation elimination in some propositional logics},\n\turl_pdf = {dn.pdf},\n\tvolume = {80},\n\tyear = {2005}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/LimitTheory.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005', 'http://www.michaelbeeson.com/research/papers/LimitTheory.pdf', event);\">\n    The meaning of infinity in calculus and computer algebra systems.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Wiedijk, F.\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Computation</i>, 39(5): 523-538.  2005.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/LimitTheory.pdf\"\n     onclick=\"log_download('beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005', 'http://www.michaelbeeson.com/research/papers/LimitTheory.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"The meaning of infinity in calculus and computer algebra systems [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2005')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2005-wiedijk,\n\tauthor = {Michael Beeson and Freek Wiedijk},\n\tdate-added = {2014-11-13 23:11:09 +0000},\n\tdate-modified = {2014-11-14 16:58:28 +0000},\n\tjournal = {Journal of Symbolic Computation},\n\tkeywords = {Logic, Symbolic computation},\n\tnumber = {5},\n\tpages = {523-538},\n\ttitle = {The meaning of infinity in calculus and computer algebra systems},\n\turl_pdf = {LimitTheory.pdf},\n\tvolume = {39},\n\tyear = {2005}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-constructivitycomputabilityandthecontinuum-2005\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ccc.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-constructivitycomputabilityandthecontinuum-2005', 'http://www.michaelbeeson.com/research/papers/ccc.pdf', event);\">\n    Constructivity, computability, and the continuum.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In <i>Essays on the Foundations of Mathematics and Logic</i>, volume 2. Polimetrica, Milan,  2005.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/ccc.pdf\"\n     onclick=\"log_download('beeson-constructivitycomputabilityandthecontinuum-2005', 'http://www.michaelbeeson.com/research/papers/ccc.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Constructivity, computability, and the continuum [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-constructivitycomputabilityandthecontinuum-2005\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-constructivitycomputabilityandthecontinuum-2005')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson2005,\n\taddress = {Milan},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Essays on the Foundations of Mathematics and Logic},\n\tdate-added = {2014-11-13 23:09:07 +0000},\n\tdate-modified = {2014-11-14 18:16:21 +0000},\n\tkeywords = {Logic, Constructive mathematics},\n\tpublisher = {Polimetrica},\n\ttitle = {Constructivity, computability, and the continuum},\n\turl_pdf = {ccc.pdf},\n\tvolume = {2},\n\tyear = {2005}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2004\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2004')\"\n      onkeypress=\"toggleGroup('group_2004')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2004</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/esfor.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004', 'http://www.michaelbeeson.com/research/papers/esfor.pdf', event);\">\n    Otter-lambda, a theorem-prover with untyped lambda-unification.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Sutcliffe, G.; Schulz, S.;  and Tammet, T., editor(s), <i>Proceedings of the ESFOR workshop at IJCAR 2004</i>,  2004. \n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/esfor.pdf\"\n     onclick=\"log_download('beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004', 'http://www.michaelbeeson.com/research/papers/esfor.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Otter-lambda, a theorem-prover with untyped lambda-unification [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-otterlambdaatheoremproverwithuntypedlambdaunification-2004')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2004b,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Proceedings of the ESFOR workshop at IJCAR 2004},\n\tdate-added = {2014-11-17 17:33:33 +0000},\n\tdate-modified = {2014-11-17 17:37:46 +0000},\n\teditor = {Geoff Sutcliffe and Stephan Schulz and Tanel Tammet},\n\tkeywords = {Automated deduction, Otter},\n\ttitle = {Otter-lambda, a theorem-prover with untyped lambda-unification},\n\turl_pdf = {esfor.pdf},\n\tyear = {2004}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-lambdalogic-2004\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/LambdaLogic.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-lambdalogic-2004', 'http://www.michaelbeeson.com/research/papers/LambdaLogic.pdf', event);\">\n    Lambda Logic.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In <i>Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings</i>, volume 3097, of <i>Lecture Notes in Artificial Intelligence</i>, pages 460-474,  2004. \n  <span class=\"note\">The second link is to the published version; the first link is to a revised and corrected version.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/LambdaLogic.pdf\"\n     onclick=\"log_download('beeson-lambdalogic-2004', 'http://www.michaelbeeson.com/research/papers/LambdaLogic.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Lambda Logic [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/LambdaLogicOriginal.pdf\"\n     onclick=\"log_download('beeson-lambdalogic-2004', 'http://www.michaelbeeson.com/research/papers/LambdaLogicOriginal.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Lambda Logic [pdf]\"\n       title=\" pdf2\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf2</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-lambdalogic-2004\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>3 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-lambdalogic-2004')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2004,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings},\n\tdate-added = {2014-11-13 23:14:14 +0000},\n\tdate-modified = {2014-11-17 17:29:15 +0000},\n\tkeywords = {Automated deduction, Lambda calculus, Logic},\n\tnote = {The second link is to the published version; the first link is to a revised and corrected version.},\n\tpages = {460-474},\n\tseries = {Lecture Notes in Artificial Intelligence},\n\ttitle = {Lambda Logic},\n\turl_pdf = {LambdaLogic.pdf},\n\turl_pdf2 = {LambdaLogicOriginal.pdf},\n\tvolume = {3097},\n\tyear = {2004}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2003\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2003')\"\n      onkeypress=\"toggleGroup('group_2003')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2003</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-themechanizationofmathematics-2003\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/turing2.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-themechanizationofmathematics-2003', 'http://www.michaelbeeson.com/research/papers/turing2.pdf', event);\">\n    The mechanization of mathematics.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Teuscher, C., editor(s), <i>Alan Turing: Life and Legacy of a Great Thinker</i>, pages 77-134. Springer-Verlag, Berlin Heidelberg New York,  2003.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/turing2.pdf\"\n     onclick=\"log_download('beeson-themechanizationofmathematics-2003', 'http://www.michaelbeeson.com/research/papers/turing2.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"The mechanization of mathematics [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-themechanizationofmathematics-2003\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>2 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-themechanizationofmathematics-2003')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson2003,\n\taddress = {Berlin Heidelberg New York},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Alan Turing: Life and Legacy of a Great Thinker},\n\tdate-added = {2014-11-13 23:16:55 +0000},\n\tdate-modified = {2014-11-14 18:15:34 +0000},\n\teditor = {Christopher Teuscher},\n\tkeywords = {Automated deduction},\n\tpages = {77-134},\n\tpublisher = {Springer-Verlag},\n\ttitle = {The mechanization of mathematics},\n\turl_pdf = {turing2.pdf},\n\tyear = {2003}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2002\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2002')\"\n      onkeypress=\"toggleGroup('group_2002')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2002</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-solvingforfunctions-2002\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-solvingforfunctions-2002', 'http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf', event);\">\n    Solving for functions.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Nakagawa, K., editor(s), <i>LMCS 2002. Logic, Mathematics and Computer Science: Interactions. Symposium in Honor of Bruno Buchberger's 60th Birthday</i>, Linz, Austria,  2002. RISC\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf\"\n     onclick=\"log_download('beeson-solvingforfunctions-2002', 'http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Solving for functions [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-solvingforfunctions-2002\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-solvingforfunctions-2002')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2002b,\n\taddress = {Linz, Austria},\n\tauthor = {Michael Beeson},\n\tbooktitle = {LMCS 2002. Logic, Mathematics and Computer Science: Interactions. Symposium in Honor of Bruno Buchberger&#x27;s 60th Birthday},\n\tdate-added = {2014-11-17 16:42:13 +0000},\n\tdate-modified = {2014-11-17 18:05:05 +0000},\n\teditor = {Koji Nakagawa},\n\tkeywords = {Otter, Unification, Automated deduction},\n\tnumber = {RISC Technical Report 02-60},\n\tpublisher = {RISC},\n\ttitle = {Solving for functions},\n\turl_pdf = {http://www.michaelbeeson.com/research/papers/SolvingForFunctions.pdf},\n\tyear = {2002}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/English-ste.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002', 'http://www.michaelbeeson.com/research/papers/English-ste.pdf', event);\">\n    MathXpert : un logiciel pour aider les élèves à apprendre les mathématiques par l'action.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Sciences et Techniques Educatives</i>, 9(1-2).  2002.\n  <span class=\"note\">The link is to the English original; I do not have a copy of the French published version.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/English-ste.pdf\"\n     onclick=\"log_download('beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002', 'http://www.michaelbeeson.com/research/papers/English-ste.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"MathXpert : un logiciel pour aider les élèves à apprendre les mathématiques par l&#x27;action [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathxpertunlogicielpouraiderleslvesapprendrelesmathmatiquesparlaction-2002')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2002a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 19:22:39 +0000},\n\tdate-modified = {2014-11-17 18:09:15 +0000},\n\tjournal = {Sciences et Techniques Educatives},\n\tkeywords = {MathXpert, Education},\n\tnote = {The link is to the English original; I do not have a copy of the French published version.},\n\tnumber = {1-2},\n\ttitle = {Math{X}pert : un logiciel pour aider les {\\&#x27;e}l{\\&#x60;e}ves {\\&#x60;a} apprendre les math{\\&#x27;e}matiques par l&#x27;action},\n\turl_pdf = {English-ste.pdf},\n\tvolume = {9},\n\tyear = {2002}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2002\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The meaning of infinity in calculus and computer algebra systems.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Wiedijk, F.\n</span>\n\n  \n\n</span>\n\n  In Calmet, J.; Benhamou, B.; Caprotti, O.; Henocque, L.;  and Sorge, V., editor(s), <i>Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences, AISC 2002 and Calculemus 2002, Marseille, France, July 2002, Proceedings</i>, pages 246-258,  2002. \n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2002\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-wiedijk-themeaningofinfinityincalculusandcomputeralgebrasystems-2002')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2002-wiedijk,\n\tauthor = {Michael Beeson and Freek Wiedijk},\n\tbooktitle = {Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences, AISC 2002 and Calculemus 2002, Marseille, France, July 2002, Proceedings},\n\tdate-added = {2014-11-13 23:20:17 +0000},\n\tdate-modified = {2014-11-14 18:15:19 +0000},\n\teditor = {Jacques Calmet and Belaid Benhamou and Olga Caprotti and Laurent Henocque and Volker Sorge},\n\tkeywords = {Logic, Symbolic computation},\n\tpages = {246-258},\n\ttitle = {The meaning of infinity in calculus and computer algebra systems},\n\tyear = {2002}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_2001\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_2001')\"\n      onkeypress=\"toggleGroup('group_2001')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>2001</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-asecondordertheoremproverappliedtocircumscription-2001\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/circumscription.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-asecondordertheoremproverappliedtocircumscription-2001', 'http://www.michaelbeeson.com/research/papers/circumscription.pdf', event);\">\n    A second-order theorem prover applied to circumscription.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Gore, R.; Leitsch, A.;  and Nipkow, T., editor(s), <i>Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings</i>, volume 2083, pages 318-324,  2001. Springer-Verlag\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/circumscription.pdf\"\n     onclick=\"log_download('beeson-asecondordertheoremproverappliedtocircumscription-2001', 'http://www.michaelbeeson.com/research/papers/circumscription.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"A second-order theorem prover applied to circumscription [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-asecondordertheoremproverappliedtocircumscription-2001\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-asecondordertheoremproverappliedtocircumscription-2001')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson2001b,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Automated Reasoning, First International Joint Conference, IJCAR 2001, Siena, Italy, June 2001, Proceedings},\n\tdate-added = {2014-11-13 23:38:15 +0000},\n\tdate-modified = {2014-11-14 19:30:37 +0000},\n\teditor = {Rajeev Gore and Alexander Leitsch and Tobias Nipkow},\n\tkeywords = {Automated deduction},\n\tpages = {318-324},\n\tpublisher = {Springer-Verlag},\n\ttitle = {A second-order theorem prover applied to circumscription},\n\turl_pdf = {circumscription.pdf},\n\tvolume = {2083},\n\tyear = {2001}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-automaticderivationoftheirrationalityofe-2001\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/JSCVersion.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-automaticderivationoftheirrationalityofe-2001', 'http://www.michaelbeeson.com/research/papers/JSCVersion.pdf', event);\">\n    Automatic derivation of the irrationality of e.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Computation</i>, 32(4): 333-349.  2001.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/JSCVersion.pdf\"\n     onclick=\"log_download('beeson-automaticderivationoftheirrationalityofe-2001', 'http://www.michaelbeeson.com/research/papers/JSCVersion.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Automatic derivation of the irrationality of e [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-automaticderivationoftheirrationalityofe-2001\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-automaticderivationoftheirrationalityofe-2001')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson2001,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-13 23:28:10 +0000},\n\tdate-modified = {2014-11-14 19:31:28 +0000},\n\tjournal = {Journal of Symbolic Computation},\n\tkeywords = {Automated deduction},\n\tnumber = {4},\n\tpages = {333-349},\n\ttitle = {Automatic derivation of the irrationality of e},\n\turl_pdf = {JSCVersion.pdf},\n\tvolume = {32},\n\tyear = {2001}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1998\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1998')\"\n      onkeypress=\"toggleGroup('group_1998')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1998</span>\n      <span class=\"bibbase_group_count\">\n        \n        (4)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/hisc.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998', 'http://www.michaelbeeson.com/research/papers/hisc.pdf', event);\">\n    Design Principles of Mathpert: Software to support education in algebra and calculus.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Kajler, N., editor(s), <i>Computer-Human Interaction in Symbolic Computation</i>, pages 89-115. Springer-Verlag, Berlin Heidelberg New York,  1998.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/hisc.pdf\"\n     onclick=\"log_download('beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998', 'http://www.michaelbeeson.com/research/papers/hisc.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Design Principles of Mathpert: Software to support education in algebra and calculus [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-designprinciplesofmathpertsoftwaretosupporteducationinalgebraandcalculus-1998')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson1998a,\n\taddress = {Berlin Heidelberg New York},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Computer-Human Interaction in Symbolic Computation},\n\tdate-added = {2014-11-13 23:48:07 +0000},\n\tdate-modified = {2018-01-29 08:35:21 +0000},\n\teditor = {Norman Kajler},\n\tkeywords = {MathXpert, Education},\n\tpages = {89-115},\n\tpublisher = {Springer-Verlag},\n\ttitle = {Design Principles of {M}athpert: Software to support education in algebra and calculus},\n\turl_pdf = {hisc.pdf},\n\tyear = {1998}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/aisc.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998', 'http://www.michaelbeeson.com/research/papers/aisc.pdf', event);\">\n    Automatic generation of epsilon-delta proofs of continuity.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Calmet, J.;  and Plaza, J., editor(s), <i>Artificial Intelligence and Symbolic Computation</i>, volume 1476, of <i>Lecture Notes in Artificial Intelligence</i>, pages 67-83, Berlin Heidelberg New York,  1998. Springer-Verlag\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/aisc.pdf\"\n     onclick=\"log_download('beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998', 'http://www.michaelbeeson.com/research/papers/aisc.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Automatic generation of epsilon-delta proofs of continuity [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-automaticgenerationofepsilondeltaproofsofcontinuity-1998')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1998d,\n\taddress = {Berlin Heidelberg New York},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Artificial Intelligence and Symbolic Computation},\n\tdate-added = {2014-11-13 23:35:21 +0000},\n\tdate-modified = {2014-11-14 19:32:10 +0000},\n\teditor = {Jacques Calmet and Jan Plaza},\n\tkeywords = {Automated deduction},\n\tpages = {67-83},\n\tpublisher = {Springer-Verlag},\n\tseries = {Lecture Notes in Artificial Intelligence},\n\ttitle = {Automatic generation of epsilon-delta proofs of continuity},\n\turl_pdf = {aisc.pdf},\n\tvolume = {1476},\n\tyear = {1998}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-unificationinlambdacalculuswithifthenelse-1998\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Unify.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-unificationinlambdacalculuswithifthenelse-1998', 'http://www.michaelbeeson.com/research/papers/Unify.pdf', event);\">\n    Unification in lambda calculus with if-then-else.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Kirchner, C.;  and Kirchner, H., editor(s), <i>15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings</i>, pages 96-111,  1998. \n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Unify.pdf\"\n     onclick=\"log_download('beeson-unificationinlambdacalculuswithifthenelse-1998', 'http://www.michaelbeeson.com/research/papers/Unify.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Unification in lambda calculus with if-then-else [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-unificationinlambdacalculuswithifthenelse-1998\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-unificationinlambdacalculuswithifthenelse-1998')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1998c,\n\tauthor = {Michael Beeson},\n\tbooktitle = {15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings},\n\tdate-added = {2014-11-13 23:31:21 +0000},\n\tdate-modified = {2014-11-14 20:02:58 +0000},\n\teditor = {Claude Kirchner and Helene Kirchner},\n\tkeywords = {Unification, Automated deduction, Lambda calculus},\n\tpages = {96-111},\n\ttitle = {Unification in lambda calculus with if-then-else},\n\turl_pdf = {Unify.pdf},\n\tyear = {1998}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-realityandtruthinmathematics-1998\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/reality.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-realityandtruthinmathematics-1998', 'http://www.michaelbeeson.com/research/papers/reality.pdf', event);\">\n    Reality and Truth in Mathematics.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Philosophia Mathematica</i>, 6: 131-168.  1998.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/reality.pdf\"\n     onclick=\"log_download('beeson-realityandtruthinmathematics-1998', 'http://www.michaelbeeson.com/research/papers/reality.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Reality and Truth in Mathematics [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-realityandtruthinmathematics-1998\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>1 download</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-realityandtruthinmathematics-1998')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1998b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-13 23:30:24 +0000},\n\tdate-modified = {2014-11-14 20:03:35 +0000},\n\tjournal = {Philosophia Mathematica},\n\tkeywords = {Logic, Constructive mathematics, Philosophy},\n\tpages = {131-168},\n\ttitle = {Reality and Truth in Mathematics},\n\turl_pdf = {reality.pdf},\n\tvolume = {6},\n\tyear = {1998}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1997\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1997')\"\n      onkeypress=\"toggleGroup('group_1997')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1997</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-mathxpertcalculusassistant-1997\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mathxpertcalculusassistant-1997', 'http://www.helpwithmath.com', event);\">\n    MathXpert Calculus Assistant.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n   1997.\n  <span class=\"note\">The current version of this software is sold by Help With Math.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"log_download('beeson-mathxpertcalculusassistant-1997', 'http://www.helpwithmath.com', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/link.svg\"\n\t     alt=\"MathXpert Calculus Assistant [link]\"\n       title=\" helpwithmath\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> helpwithmath</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathxpertcalculusassistant-1997\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathxpertcalculusassistant-1997')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@misc{beeson1997c,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 22:41:12 +0000},\n\tdate-modified = {2019-02-28 15:18:01 -0800},\n\tkeywords = {Math{X}pert, Education, Software},\n\tnote = {The current version of this software is sold by Help With Math.},\n\tpublisher = {MathXpert Systems},\n\ttitle = {MathXpert Calculus Assistant},\n\turl_helpwithmath = {http://www.helpwithmath.com},\n\tyear = {1997}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-mathxpertprecalculusassistant-1997\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mathxpertprecalculusassistant-1997', 'http://www.helpwithmath.com', event);\">\n    MathXpert Precalculus Assistant.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n   1997.\n  <span class=\"note\">The current version of this software is sold by Help With Math.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"log_download('beeson-mathxpertprecalculusassistant-1997', 'http://www.helpwithmath.com', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/link.svg\"\n\t     alt=\"MathXpert Precalculus Assistant [link]\"\n       title=\" helpwithmath\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> helpwithmath</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathxpertprecalculusassistant-1997\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathxpertprecalculusassistant-1997')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@misc{beeson1997b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 22:39:49 +0000},\n\tdate-modified = {2019-02-28 15:17:51 -0800},\n\tkeywords = {MathXpert, Education, Software},\n\tnote = {The current version of this software is sold by Help With Math.},\n\tpublisher = {MathXpert Systems},\n\ttitle = {Math{X}pert Precalculus Assistant},\n\turl_helpwithmath = {http://www.helpwithmath.com},\n\tyear = {1997}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-mathxpertalgebraassistant-1997\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-mathxpertalgebraassistant-1997', 'http://www.helpwithmath.com', event);\">\n    MathXpert Algebra Assistant.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n   1997.\n  <span class=\"note\">The current version of this software is sold by Help With Math.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.helpwithmath.com\"\n     onclick=\"log_download('beeson-mathxpertalgebraassistant-1997', 'http://www.helpwithmath.com', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/link.svg\"\n\t     alt=\"MathXpert Algebra Assistant [link]\"\n       title=\" helpwithmath\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> helpwithmath</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathxpertalgebraassistant-1997\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathxpertalgebraassistant-1997')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@misc{beeson1997a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 22:36:22 +0000},\n\tdate-modified = {2019-02-28 15:17:40 -0800},\n\tkeywords = {MathXpert, Education, Software},\n\tnote = {The current version of this software is sold by Help With Math.},\n\tpublisher = {MathXpert Systems},\n\ttitle = {Math{X}pert Algebra Assistant},\n\turl_helpwithmath = {http://www.helpwithmath.com},\n\tyear = {1997}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1995\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1995')\"\n      onkeypress=\"toggleGroup('group_1995')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1995</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/nsappt.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995', 'http://www.michaelbeeson.com/research/papers/nsappt.pdf', event);\">\n    Using nonstandard analysis to verify the correctness of computations.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>International Journal of Foundations of Computer Science</i>, 6(3): 299-338.  1995.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/nsappt.pdf\"\n     onclick=\"log_download('beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995', 'http://www.michaelbeeson.com/research/papers/nsappt.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Using nonstandard analysis to verify the correctness of computations [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-usingnonstandardanalysistoverifythecorrectnessofcomputations-1995')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1995,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-13 23:45:44 +0000},\n\tdate-modified = {2014-11-14 20:05:39 +0000},\n\tjournal = {International Journal of Foundations of Computer Science},\n\tkeywords = {Logic, MathXpert, Nonstandard analysis},\n\tnumber = {3},\n\tpages = {299-338},\n\ttitle = {Using nonstandard analysis to verify the correctness of computations},\n\turl_pdf = {nsappt.pdf},\n\tvolume = {6},\n\tyear = {1995}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1992\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1992')\"\n      onkeypress=\"toggleGroup('group_1992')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1992</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-triangleswithverticesonlatticepoints-1992\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/triangle.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-triangleswithverticesonlatticepoints-1992', 'http://www.michaelbeeson.com/research/papers/triangle.pdf', event);\">\n    Triangles with vertices on lattice points.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>American Mathematical Monthly</i>, 99(3): 243-252.  1992.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/triangle.pdf\"\n     onclick=\"log_download('beeson-triangleswithverticesonlatticepoints-1992', 'http://www.michaelbeeson.com/research/papers/triangle.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Triangles with vertices on lattice points [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-triangleswithverticesonlatticepoints-1992\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-triangleswithverticesonlatticepoints-1992')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1992a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-13 23:54:43 +0000},\n\tdate-modified = {2014-11-14 20:07:17 +0000},\n\tjournal = {American Mathematical Monthly},\n\tkeywords = {Geometry},\n\tnumber = {3},\n\tpages = {243-252},\n\ttitle = {Triangles with vertices on lattice points},\n\turl_pdf = {triangle.pdf},\n\tvolume = {99},\n\tyear = {1992}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-mathpertcomputersupportforlearningalgebratrigonometryandcalculus-1992\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Mathpert: Computer support for learning algebra, trigonometry, and calculus.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Voronkov, A., editor(s), <i>Logic Programming and Automated Reasoning</i>, volume 624, of <i>Lecture Notes in Artificial Intelligence</i>, pages 454-457,  1992. \n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathpertcomputersupportforlearningalgebratrigonometryandcalculus-1992\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathpertcomputersupportforlearningalgebratrigonometryandcalculus-1992')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1992b,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Logic Programming and Automated Reasoning},\n\tdate-added = {2014-11-13 23:52:44 +0000},\n\tdate-modified = {2014-11-14 21:59:02 +0000},\n\teditor = {A.~ Voronkov},\n\tkeywords = {MathXpert, Symbolic computation, Education},\n\tpages = {454-457},\n\tseries = {Lecture Notes in Artificial Intelligence},\n\ttitle = {{M}athpert: Computer support for learning algebra, trigonometry, and calculus},\n\tvolume = {624},\n\tyear = {1992}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-constructivisminthenineties-1992\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/const92.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-constructivisminthenineties-1992', 'http://www.michaelbeeson.com/research/papers/const92.pdf', event);\">\n    Constructivism in the Nineties.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Czermak, J., editor(s), <i>Proceedings of the International Wittgenstein Symposium on Philosophy of Mathematics, Aug. 16-22, 1992</i>, Vienna,  1992. Wittgenstein Society\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/const92.pdf\"\n     onclick=\"log_download('beeson-constructivisminthenineties-1992', 'http://www.michaelbeeson.com/research/papers/const92.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Constructivism in the Nineties [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-constructivisminthenineties-1992\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n  &nbsp;\n  <span class=\"bibbase_stats_paper\" style=\"color: #777;\">\n    <span>3 downloads</span>\n  </span>\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-constructivisminthenineties-1992')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1992c,\n\taddress = {Vienna},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Proceedings of the International Wittgenstein Symposium on Philosophy of Mathematics, Aug. 16-22, 1992},\n\tdate-added = {2014-11-13 23:50:51 +0000},\n\tdate-modified = {2014-11-14 20:06:33 +0000},\n\teditor = {J. Czermak},\n\tkeywords = {Logic, Constructive mathematics},\n\tpublisher = {Wittgenstein Society},\n\ttitle = {Constructivism in the Nineties},\n\turl_pdf = {const92.pdf},\n\tyear = {1992}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1991\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1991')\"\n      onkeypress=\"toggleGroup('group_1991')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1991</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Gentzen.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991', 'http://www.michaelbeeson.com/research/papers/Gentzen.pdf', event);\">\n    Some applications of Gentzen's proof theory to automated deduction.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Schroeder-Heister, P., editor(s), <i>Extensions of Logic Programming</i>, volume 475, of Lecture Notes in Computer Science, pages 101-156. Springer-Verlag,  1991.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/Gentzen.pdf\"\n     onclick=\"log_download('beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991', 'http://www.michaelbeeson.com/research/papers/Gentzen.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Some applications of Gentzen&#x27;s proof theory to automated deduction [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-someapplicationsofgentzensprooftheorytoautomateddeduction-1991')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson1991,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Extensions of Logic Programming},\n\tdate-added = {2014-11-14 21:57:08 +0000},\n\tdate-modified = {2019-10-15 11:47:36 -0700},\n\teditor = {P. Schroeder-Heister},\n\tkeywords = {Proof theory, Automated deduction},\n\tpages = {101-156},\n\tpublisher = {Springer-Verlag},\n\tseries = {Lecture Notes in Computer Science},\n\ttitle = {Some applications of {G}entzen&#x27;s proof theory to automated deduction},\n\turl_pdf = {Gentzen.pdf},\n\tvolume = {475},\n\tyear = {1991}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1990\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1990')\"\n      onkeypress=\"toggleGroup('group_1990')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1990</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-acomputerizedenvironmentforlearningalgebratrigonometryandcalculus-1990\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  A computerized environment for learning algebra, trigonometry, and calculus.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Artificial Intelligence and Education</i>, 1: 65-76.  1990.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-acomputerizedenvironmentforlearningalgebratrigonometryandcalculus-1990\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-acomputerizedenvironmentforlearningalgebratrigonometryandcalculus-1990')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1990,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 21:55:49 +0000},\n\tdate-modified = {2014-11-14 21:56:52 +0000},\n\tjournal = {Journal of Artificial Intelligence and Education},\n\tkeywords = {MathXpert, Education},\n\tpages = {65-76},\n\ttitle = {A computerized environment for learning algebra, trigonometry, and calculus},\n\tvolume = {1},\n\tyear = {1990}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1989\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1989')\"\n      onkeypress=\"toggleGroup('group_1989')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1989</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-logicandcomputationinmathpertanexpertsystemforlearningmathematics-1989\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Logic and computation in Mathpert: An expert system for learning mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In <i>Computers and Mathematics '89</i>, pages 202-214. Springer-Verlag, Berlin Heidelberg New York,  1989.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-logicandcomputationinmathpertanexpertsystemforlearningmathematics-1989\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-logicandcomputationinmathpertanexpertsystemforlearningmathematics-1989')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson1989c,\n\taddress = {Berlin Heidelberg New York},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Computers and Mathematics &#x27;89},\n\tdate-added = {2014-11-14 21:54:16 +0000},\n\tdate-modified = {2014-11-14 21:55:33 +0000},\n\tkeywords = {MathXpert, Logic, Computation},\n\tpages = {202-214},\n\tpublisher = {Springer-Verlag},\n\ttitle = {Logic and computation in {M}athpert: An expert system for learning mathematics},\n\tyear = {1989}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-theusermodelinmathpertanexpertsystemforlearningmathematics-1989\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The user model in Mathpert, an expert system for learning mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Bierman; Breuker;  and Sandberg, editor(s), <i>Artificial Intelligence and Education '89</i>, pages 9-14, Amsterdam,  1989. IOS\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-theusermodelinmathpertanexpertsystemforlearningmathematics-1989\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-theusermodelinmathpertanexpertsystemforlearningmathematics-1989')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1989b,\n\taddress = {Amsterdam},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Artificial Intelligence and Education &#x27;89},\n\tdate-added = {2014-11-14 21:52:19 +0000},\n\tdate-modified = {2014-11-14 21:53:46 +0000},\n\teditor = {Bierman and Breuker and Sandberg},\n\tkeywords = {MathXpert, Education},\n\tpages = {9-14},\n\tpublisher = {IOS},\n\ttitle = {The user model in {M}athpert, an expert system for learning mathematics},\n\tyear = {1989}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-mathpertanexpertsystemforlearningmathematics-1989\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Mathpert: An expert system for learning mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In <i>Proceedings of the Conference on Technology in Collegiate Mathematics Education, Columbus, Ohio, October, 1988</i>, pages 9-14,  1989. Addison-Wesley\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-mathpertanexpertsystemforlearningmathematics-1989\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-mathpertanexpertsystemforlearningmathematics-1989')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1989a,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Proceedings of the Conference on Technology in Collegiate Mathematics Education, Columbus, Ohio, October, 1988},\n\tdate-added = {2014-11-14 21:49:58 +0000},\n\tdate-modified = {2014-11-14 21:54:11 +0000},\n\tkeywords = {MathXpert, Education},\n\tpages = {9-14},\n\tpublisher = {Addison-Wesley},\n\ttitle = {{M}athpert: An expert system for learning mathematics},\n\tyear = {1989}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1988\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1988')\"\n      onkeypress=\"toggleGroup('group_1988')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1988</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-towardsacomputationsystembasedonsettheory-1988\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/beeson1988b.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-towardsacomputationsystembasedonsettheory-1988', 'http://www.michaelbeeson.com/research/papers/beeson1988b.pdf', event);\">\n    Towards a computation system based on set theory,.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Theoretical Computer Science</i>, 60: 297-340.  1988.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/beeson1988b.pdf\"\n     onclick=\"log_download('beeson-towardsacomputationsystembasedonsettheory-1988', 'http://www.michaelbeeson.com/research/papers/beeson1988b.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"Towards a computation system based on set theory, [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-towardsacomputationsystembasedonsettheory-1988\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-towardsacomputationsystembasedonsettheory-1988')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1988b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 21:47:14 +0000},\n\tdate-modified = {2014-11-14 21:48:38 +0000},\n\tjournal = {Theoretical Computer Science},\n\tkeywords = {Logic, Set theory, Symbolic computation},\n\tpages = {297-340},\n\ttitle = {Towards a computation system based on set theory,},\n\turl_pdf = {beeson1988b.pdf},\n\tvolume = {60},\n\tyear = {1988}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-computerizingmathematicslogicandcomputation-1988\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Computerizing Mathematics: Logic and Computation.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Herken, R., editor(s), <i>The Universal Turing Machine: A Half-Century Survey</i>. Oxford University Press,  1988.\n  <span class=\"note\">Second edition, Springer-Verlag (1994)</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-computerizingmathematicslogicandcomputation-1988\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-computerizingmathematicslogicandcomputation-1988')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson1988a,\n\tauthor = {Michael Beeson},\n\tbooktitle = {The Universal Turing Machine: A Half-Century Survey},\n\tdate-added = {2014-11-14 21:44:47 +0000},\n\tdate-modified = {2014-11-14 21:48:56 +0000},\n\teditor = {R. Herken},\n\tkeywords = {Logic, Computation},\n\tnote = {Second edition, Springer-Verlag (1994)},\n\tpublisher = {Oxford University Press},\n\ttitle = {Computerizing Mathematics: Logic and Computation},\n\tyear = {1988}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1987\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1987')\"\n      onkeypress=\"toggleGroup('group_1987')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1987</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-sometheoriesconservativeoverintuitionisticarithmetic-1987\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Some theories conservative over intuitionistic arithmetic.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In <i>Logic and Computation</i>, volume 106, of Contemporary Mathematics. American Mathematical Society, Providence, R. I.,  1987.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-sometheoriesconservativeoverintuitionisticarithmetic-1987\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-sometheoriesconservativeoverintuitionisticarithmetic-1987')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@incollection{beeson1987,\n\taddress = {Providence, R.~I.},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Logic and Computation},\n\tdate-added = {2014-11-14 21:43:00 +0000},\n\tdate-modified = {2014-11-14 21:44:29 +0000},\n\tkeywords = {Logic, Constructive mathematics},\n\tpublisher = {American Mathematical Society},\n\tseries = {Contemporary Mathematics},\n\ttitle = {Some theories conservative over intuitionistic arithmetic},\n\tvolume = {106},\n\tyear = {1987}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1986\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1986')\"\n      onkeypress=\"toggleGroup('group_1986')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1986</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-provingprogramsandprogrammingproofs-1986\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Proving programs and programming proofs.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Barcus, R.; Marcus; Dorn;  and Weingartner, editor(s), <i>Logic, Methodology, and Philosophy of Science VII, proceedings of the International Congress, Salzburg, 1983</i>, pages 51-81,  1986. \n  <span class=\"note\">This paper has been translated into French and Russian.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-provingprogramsandprogrammingproofs-1986\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-provingprogramsandprogrammingproofs-1986')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1986,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Logic, Methodology, and Philosophy of Science VII, proceedings of the International Congress, Salzburg, 1983},\n\tdate-added = {2014-11-14 21:40:22 +0000},\n\tdate-modified = {2014-11-14 21:49:25 +0000},\n\teditor = {Ruth Barcus and Marcus and Dorn and Weingartner},\n\tkeywords = {Logic, Computation},\n\tnote = {This paper has been translated into French and Russian.},\n\tpages = {51-81},\n\ttitle = {Proving programs and programming proofs},\n\tyear = {1986}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1985\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1985')\"\n      onkeypress=\"toggleGroup('group_1985')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1985</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-the6theoreminminimalsurfaces-1985\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/sixpi.pdf\"\n     onclick=\"return trackOutboundLink('publications', 'click', 'beeson-the6theoreminminimalsurfaces-1985', 'http://www.michaelbeeson.com/research/papers/sixpi.pdf', event);\">\n    The $6π$ theorem in minimal surfaces.\n  </a>\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Pacific Journal of Mathematics</i>, 117: 17-25.  1985.\n  <span class=\"note\">The second link gives comments (written 2006) that simplify the proof and answer a question raised by Nitsche.</span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/sixpi.pdf\"\n     onclick=\"log_download('beeson-the6theoreminminimalsurfaces-1985', 'http://www.michaelbeeson.com/research/papers/sixpi.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"The $6π$ theorem in minimal surfaces [pdf]\"\n       title=\" pdf\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf</span></a>\n  &nbsp;\n  \n  <a href=\"http://www.michaelbeeson.com/research/papers/sixpiReview.pdf\"\n     onclick=\"log_download('beeson-the6theoreminminimalsurfaces-1985', 'http://www.michaelbeeson.com/research/papers/sixpiReview.pdf', event.ctrlKey, event)\">\n    <img src=\"//bibbase.org/img/filetypes/pdf.svg\"\n\t     alt=\"The $6π$ theorem in minimal surfaces [pdf]\"\n       title=\" pdf2\"\n\t     class=\"bibbase_icon\"\n         ><span class=\"bibbase_icon_text\"> pdf2</span></a>\n  &nbsp;\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-the6theoreminminimalsurfaces-1985\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-the6theoreminminimalsurfaces-1985')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1985b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 16:50:41 +0000},\n\tdate-modified = {2014-11-17 18:13:34 +0000},\n\tjournal = {Pacific Journal of Mathematics},\n\tkeywords = {Minimal surfaces},\n\tnote = {The second link gives comments (written 2006) that simplify the proof and answer a question raised by Nitsche.},\n\tpages = {17-25},\n\ttitle = {The $6\\pi$ theorem in minimal surfaces},\n\turl_pdf = {sixpi.pdf},\n\turl_pdf2 = {sixpiReview.pdf},\n\tvolume = {117},\n\tyear = {1985}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-foundationsofconstructivemathematicsmetamathematicalstudies-1985\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Foundations of Constructive Mathematics: Metamathematical Studies.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n   of Ergebnisse der Mathematik und ihrer GrenzgebieteSpringer, Berlin Heidelberg New York Tokyo,  1985.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-foundationsofconstructivemathematicsmetamathematicalstudies-1985\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-foundationsofconstructivemathematicsmetamathematicalstudies-1985')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@book{beeson1985a,\n\taddress = {Berlin Heidelberg New York Tokyo},\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 16:48:13 +0000},\n\tdate-modified = {2019-02-28 15:14:25 -0800},\n\tkeywords = {Logic, Constructive mathematics},\n\tnumber = {6},\n\tpublisher = {Springer},\n\tseries = {Ergebnisse der Mathematik und ihrer Grenzgebiete},\n\ttitle = {Foundations of Constructive Mathematics: Metamathematical Studies},\n\tyear = {1985}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1984\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1984')\"\n      onkeypress=\"toggleGroup('group_1984')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1984</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-scedrov-churchsthesiscontinuityandsettheory-1984\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Church's thesis, continuity, and set theory.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Scedrov, A.\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 49: 273-308.  1984.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-scedrov-churchsthesiscontinuityandsettheory-1984\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-scedrov-churchsthesiscontinuityandsettheory-1984')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1984-scedrov,\n\tauthor = {Michael Beeson and Andre Scedrov},\n\tdate-added = {2014-11-14 16:53:41 +0000},\n\tdate-modified = {2014-11-14 18:11:38 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {273-308},\n\ttitle = {Church&#x27;s thesis, continuity, and set theory},\n\tvolume = {49},\n\tyear = {1984}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-tromba-thecuspcatastropheofthominthebifurcationofminimalsurfaces-1984\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The cusp catastrophe of Thom in the bifurcation of minimal surfaces.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>;  and Tromba, A. J.\n</span>\n\n  \n\n</span>\n\n  <i>Manuscripta Mathematica</i>, 46: 273-308.  1984.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-tromba-thecuspcatastropheofthominthebifurcationofminimalsurfaces-1984\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-tromba-thecuspcatastropheofthominthebifurcationofminimalsurfaces-1984')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1984-tromba,\n\tauthor = {Michael Beeson and Anthony J. Tromba},\n\tdate-added = {2014-11-14 16:52:15 +0000},\n\tdate-modified = {2018-02-13 00:48:28 +0000},\n\tjournal = {Manuscripta Mathematica},\n\tkeywords = {Minimal surfaces},\n\tpages = {273-308},\n\ttitle = {The cusp catastrophe of {T}hom in the bifurcation of minimal surfaces},\n\tvolume = {46},\n\tyear = {1984}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1982\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1982')\"\n      onkeypress=\"toggleGroup('group_1982')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1982</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-someresultsonfinitenessinplateausproblempartii-1982\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Some results on finiteness in Plateau's problem, Part II.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Mathematische Zeitschrift</i>, 181: 1-30.  1982.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-someresultsonfinitenessinplateausproblempartii-1982\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-someresultsonfinitenessinplateausproblempartii-1982')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1982b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 21:38:25 +0000},\n\tdate-modified = {2014-11-14 22:10:52 +0000},\n\tjournal = {Mathematische Zeitschrift},\n\tkeywords = {Minimal surfaces},\n\tpages = {1-30},\n\ttitle = {Some results on finiteness in {P}lateau&#x27;s problem, Part {II}},\n\tvolume = {181},\n\tyear = {1982}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-problematicprinciplesinconstructivemathematics-1982\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Problematic principles in constructive mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In van Dalen, D.; D. Lascar;  and J. Smiley, editor(s), <i>Logic Colloquium '80</i>, pages 11-55, Amsterdam,  1982. North-Holland\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-problematicprinciplesinconstructivemathematics-1982\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-problematicprinciplesinconstructivemathematics-1982')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1982c,\n\taddress = {Amsterdam},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Logic Colloquium &#x27;80},\n\tdate-added = {2014-11-14 21:03:24 +0000},\n\tdate-modified = {2014-11-14 22:13:45 +0000},\n\teditor = {Dirk van Dalen and D.~Lascar and J.~Smiley},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {11-55},\n\tpublisher = {North-Holland},\n\ttitle = {Problematic principles in constructive mathematics},\n\tyear = {1982}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-recursivemodelsforconstructivesettheories-1982\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Recursive models for constructive set theories.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Annals of Mathematical Logic</i>, 23: 127-178.  1982.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-recursivemodelsforconstructivesettheories-1982\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-recursivemodelsforconstructivesettheories-1982')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1982a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 16:55:21 +0000},\n\tdate-modified = {2014-11-14 18:11:32 +0000},\n\tjournal = {Annals of Mathematical Logic},\n\tkeywords = {Logic, Constructive mathematics, Proof theory},\n\tpages = {127-178},\n\ttitle = {Recursive models for constructive set theories},\n\tvolume = {23},\n\tyear = {1982}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1981\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1981')\"\n      onkeypress=\"toggleGroup('group_1981')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1981</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-formalizingconstructivemathematicswhyandhow-1981\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Formalizing constructive mathematics: why and how?.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In Richman, F., editor(s), <i>Constructive Mathematics, Proceedings, New Mexico, 1980</i>, volume 873, of <i>Lecture Notes in Mathematics</i>, pages 146-191,  1981. \n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-formalizingconstructivemathematicswhyandhow-1981\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-formalizingconstructivemathematicswhyandhow-1981')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1981,\n\tauthor = {Michael Beeson},\n\tbooktitle = {Constructive Mathematics, Proceedings, New Mexico, 1980},\n\tdate-added = {2014-11-14 17:19:41 +0000},\n\tdate-modified = {2014-11-14 18:11:16 +0000},\n\teditor = {Fred Richman},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {146-191},\n\tseries = {Lecture Notes in Mathematics},\n\ttitle = {Formalizing constructive mathematics: why and how?},\n\tvolume = {873},\n\tyear = {1981}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1980\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1980')\"\n      onkeypress=\"toggleGroup('group_1980')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1980</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-extensionalityandchoiceinconstructivemathematics-1980\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Extensionality and choice in constructive mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Pacific Journal of Mathematics</i>, 88: 1-28.  1980.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-extensionalityandchoiceinconstructivemathematics-1980\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-extensionalityandchoiceinconstructivemathematics-1980')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1980c,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 21:01:14 +0000},\n\tdate-modified = {2014-11-14 21:02:51 +0000},\n\tjournal = {Pacific Journal of Mathematics},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {1-28},\n\ttitle = {Extensionality and choice in constructive mathematics},\n\tvolume = {88},\n\tyear = {1980}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-someresultsonfinitenessinplateausproblemparti-1980\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Some results on finiteness in Plateau's problem, Part I.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Mathematische Zeitschrift</i>, 175: 103-122.  1980.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-someresultsonfinitenessinplateausproblemparti-1980\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-someresultsonfinitenessinplateausproblemparti-1980')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1980b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:04:19 +0000},\n\tdate-modified = {2014-11-14 22:10:41 +0000},\n\tjournal = {Mathematische Zeitschrift},\n\tkeywords = {Minimal surfaces},\n\tpages = {103-122},\n\ttitle = {Some results on finiteness in {P}lateau&#x27;s problem, Part {I}},\n\tvolume = {175},\n\tyear = {1980}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-oninteriorbranchpointsofminimalsurfaces-1980\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  On interior branch points of minimal surfaces.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Mathematische Zeitschrift</i>, 175: 103-123.  1980.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-oninteriorbranchpointsofminimalsurfaces-1980\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-oninteriorbranchpointsofminimalsurfaces-1980')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1980a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:02:06 +0000},\n\tdate-modified = {2014-11-14 18:11:05 +0000},\n\tjournal = {Mathematische Zeitschrift},\n\tkeywords = {Minimal surfaces},\n\tpages = {103-123},\n\ttitle = {On interior branch points of minimal surfaces},\n\tvolume = {175},\n\tyear = {1980}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1979\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1979')\"\n      onkeypress=\"toggleGroup('group_1979')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1979</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-continuityinintuitionisticsettheories-1979\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Continuity in intuitionistic set theories.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  In M. Boffa; van Dalen, D.; D. Lascar;  and J. Smiley, editor(s), <i>Logic Colloquium '78</i>, Amsterdam,  1979. North-Holland\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-continuityinintuitionisticsettheories-1979\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-continuityinintuitionisticsettheories-1979')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@inproceedings{beeson1979b,\n\taddress = {Amsterdam},\n\tauthor = {Michael Beeson},\n\tbooktitle = {Logic Colloquium &#x27;78},\n\tdate-added = {2014-11-14 17:14:38 +0000},\n\tdate-modified = {2014-11-14 18:10:55 +0000},\n\teditor = {M.~Boffa and Dirk van Dalen and D.~Lascar and J.~Smiley},\n\tkeywords = {Logic, Constructive mathematics},\n\tpublisher = {North-Holland},\n\ttitle = {Continuity in intuitionistic set theories},\n\tyear = {1979}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-goodmanstheoremandbeyond-1979\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Goodman's theorem and beyond.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Pacific Journal of Mathematics</i>, 84: 1-16.  1979.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-goodmanstheoremandbeyond-1979\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-goodmanstheoremandbeyond-1979')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1979a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:13:46 +0000},\n\tdate-modified = {2014-11-14 18:10:48 +0000},\n\tjournal = {Pacific Journal of Mathematics},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {1-16},\n\ttitle = {Goodman&#x27;s theorem and beyond},\n\tvolume = {84},\n\tyear = {1979}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1978\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1978')\"\n      onkeypress=\"toggleGroup('group_1978')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1978</span>\n      <span class=\"bibbase_group_count\">\n        \n        (2)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-somerelationsbetweenclassicalandconstructivemathematics-1978\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Some relations between classical and constructive mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 43: 228-246.  1978.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-somerelationsbetweenclassicalandconstructivemathematics-1978\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-somerelationsbetweenclassicalandconstructivemathematics-1978')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1978b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-17 16:37:21 +0000},\n\tdate-modified = {2014-11-17 18:04:36 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Constructive mathematics, Logic},\n\tpages = {228-246},\n\ttitle = {Some relations between classical and constructive mathematics},\n\tvolume = {43},\n\tyear = {1978}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-atypefreegdelinterpretation-1978\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  A type-free Gödel interpretation.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 43: 213-227.  1978.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-atypefreegdelinterpretation-1978\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-atypefreegdelinterpretation-1978')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1978a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:00:54 +0000},\n\tdate-modified = {2014-11-17 16:37:19 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Logic, Constructive mathematics, Proof theory},\n\tpages = {213-227},\n\ttitle = {A type-free {G}{\\&quot;o}del interpretation},\n\tvolume = {43},\n\tyear = {1978}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1977\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1977')\"\n      onkeypress=\"toggleGroup('group_1977')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1977</span>\n      <span class=\"bibbase_group_count\">\n        \n        (4)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-noncontinuousdependenceofsurfacesofleastareaontheboundarycurve-1977\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Non-continuous dependence of surfaces of least area on the boundary curve.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Pacific Journal of Mathematics</i>,11-17.  1977.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-noncontinuousdependenceofsurfacesofleastareaontheboundarycurve-1977\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-noncontinuousdependenceofsurfacesofleastareaontheboundarycurve-1977')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1977c,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:12:47 +0000},\n\tdate-modified = {2014-11-14 18:10:08 +0000},\n\tjournal = {Pacific Journal of Mathematics},\n\tkeywords = {Minimal surfaces},\n\tpages = {11-17},\n\ttitle = {Non-continuous dependence of surfaces of least area on the boundary curve},\n\tyear = {1977}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-principlesofcontinuouschoiceandcontinuityoffunctionsinformalsystemsforconstructivemathematics-1977\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Principles of continuous choice and continuity of functions in formal systems for constructive mathematics.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Annals of Mathematical Logic</i>,249-322.  1977.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-principlesofcontinuouschoiceandcontinuityoffunctionsinformalsystemsforconstructivemathematics-1977\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-principlesofcontinuouschoiceandcontinuityoffunctionsinformalsystemsforconstructivemathematics-1977')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1977b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:11:54 +0000},\n\tdate-modified = {2014-11-14 18:09:59 +0000},\n\tjournal = {Annals of Mathematical Logic},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {249-322},\n\ttitle = {Principles of continuous choice and continuity of functions in formal systems for constructive mathematics},\n\tyear = {1977}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-continuityandcomprehensioninintuitionisticformalsystems-1977\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Continuity and comprehension in intuitionistic formal systems.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Pacific Journal of Mathematics</i>, 68: 29-40.  1977.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-continuityandcomprehensioninintuitionisticformalsystems-1977\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-continuityandcomprehensioninintuitionisticformalsystems-1977')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1977a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:10:43 +0000},\n\tdate-modified = {2014-11-14 18:09:54 +0000},\n\tjournal = {Pacific Journal of Mathematics},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {29-40},\n\ttitle = {Continuity and comprehension in intuitionistic formal systems},\n\tvolume = {68},\n\tyear = {1977}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-thebehaviorofaminimalsurfaceinacorner-1977\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The behavior of a minimal surface in a corner.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Archive of Rational Mechanics and Analysis</i>, 65: 213-227.  1977.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-thebehaviorofaminimalsurfaceinacorner-1977\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-thebehaviorofaminimalsurfaceinacorner-1977')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1977d,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 16:56:55 +0000},\n\tdate-modified = {2014-11-14 18:10:25 +0000},\n\tjournal = {Archive of Rational Mechanics and Analysis},\n\tkeywords = {Minimal surfaces},\n\tpages = {213-227},\n\ttitle = {The behavior of a minimal surface in a corner},\n\tvolume = {65},\n\tyear = {1977}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1976\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1976')\"\n      onkeypress=\"toggleGroup('group_1976')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1976</span>\n      <span class=\"bibbase_group_count\">\n        \n        (3)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-theunprovabilityinintuitionisticformalsystemsofthecontinuityofeffectiveoperationsonthereals-1976\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The unprovability in intuitionistic formal systems of the continuity of effective operations on the reals.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 41: 28-24.  1976.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-theunprovabilityinintuitionisticformalsystemsofthecontinuityofeffectiveoperationsonthereals-1976\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-theunprovabilityinintuitionisticformalsystemsofthecontinuityofeffectiveoperationsonthereals-1976')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1976b,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:08:25 +0000},\n\tdate-modified = {2014-11-14 18:09:41 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {28-24},\n\ttitle = {The unprovability in intuitionistic formal systems of the continuity of effective operations on the reals},\n\tvolume = {41},\n\tyear = {1976}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-thenonderivabilityinintuitionisticformalsystemsoftheoremsonthecontinuityofeffectiveoperations-1976\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The non-derivability in intuitionistic formal systems of theorems on the continuity of effective operations.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 40: 321-346.  1976.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-thenonderivabilityinintuitionisticformalsystemsoftheoremsonthecontinuityofeffectiveoperations-1976\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-thenonderivabilityinintuitionisticformalsystemsoftheoremsonthecontinuityofeffectiveoperations-1976')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1976a,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:07:04 +0000},\n\tdate-modified = {2014-11-14 18:09:32 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {321-346},\n\ttitle = {The non-derivability in intuitionistic formal systems of theorems on the continuity of effective operations},\n\tvolume = {40},\n\tyear = {1976}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n  <div class=\"bibbase_paper\" id=\"beeson-derivedrulesofinferencerelatedtothecontinuityofeffectiveoperations-1976\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  Derived rules of inference related to the continuity of effective operations.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  <i>Journal of Symbolic Logic</i>, 41: 328-336.  1976.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-derivedrulesofinferencerelatedtothecontinuityofeffectiveoperations-1976\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-derivedrulesofinferencerelatedtothecontinuityofeffectiveoperations-1976')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@article{beeson1976c,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:05:56 +0000},\n\tdate-modified = {2014-11-14 18:09:47 +0000},\n\tjournal = {Journal of Symbolic Logic},\n\tkeywords = {Logic, Constructive mathematics},\n\tpages = {328-336},\n\ttitle = {Derived rules of inference related to the continuity of effective operations},\n\tvolume = {41},\n\tyear = {1976}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n  <div class=\"bibbase_group_whole\" id=\"group_1972\">\n    <div class=\"bibbase_group\"\n      onclick=\"toggleGroup('group_1972')\"\n      onkeypress=\"toggleGroup('group_1972')\"\n      tabindex=\"0\">\n      <i class=\"fa fa-angle-down bibbase_group_head_icon\"></i>&nbsp;\n      <span>1972</span>\n      <span class=\"bibbase_group_count\">\n        \n        (1)\n        \n      </span>\n    </div>\n    <div class=\"bibbase_group_body\">\n      \n  \n  <div class=\"bibbase_paper\" id=\"beeson-themetamathematicsofconstructivetheoriesofeffectiveoperations-1972\">\n  <span class=\"bibbase_paper_titleauthoryear\">\n\n  \n  <span class=\"bibbase_paper_title\">\n  \n  \n  \n  The metamathematics of constructive theories of effective operations.\n  \n  \n  \n</span>\n\n  <span class=\"bibbase_paper_author\">\n  <a class=\"bibbase author link\" href=\"https://www.michaelbeeson.com/research/papers/pubs.php\">Beeson, M.</a>\n</span>\n\n  \n\n</span>\n\n  Ph.D. Thesis, Stanford,  1972.\n  <span class=\"note\"></span>\n\n<span class=\"bibbase_note\"></span>\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content dontprint\">\n\n  \n\n  \n\n  \n  <a href=\"//bibbase.org/network/publication/beeson-themetamathematicsofconstructivetheoriesofeffectiveoperations-1972\"\n     class=\"bibbase bibbase_page link\">link</a>\n  &nbsp;\n  \n\n  <a href=\"#\"\n     onclick=\"showBib(event); return false;\"\n     class=\"bibbase bibtex link\">bibtex\n    <i class=\"fa fa-caret-down\"></i></a>\n\n  \n\n  \n\n  <!-- <a class=\"bibbase read link hidden\" -->\n  <!--    href=\"javascript:toggleRead('beeson-themetamathematicsofconstructivetheoriesofeffectiveoperations-1972')\" -->\n  <!--    title=\"Marking this paper as read adds it to your library on BibBase.\" -->\n  <!--    > -->\n  <!--   <i class=\"fa fa-check\"></i>&nbsp; -->\n  <!--   <span>mark as read</span> -->\n  <!-- </a> -->\n\n  &nbsp;\n  \n  \n  \n  \n  \n  \n\n</span>\n\n<div class=\"well well-small bibbase\" data-type=\"bibtex\"\n     style=\"display:none\">\n  <pre style=\"white-space: pre-wrap;\">@phdthesis{beeson1972,\n\tauthor = {Michael Beeson},\n\tdate-added = {2014-11-14 17:09:32 +0000},\n\tdate-modified = {2014-11-14 18:09:23 +0000},\n\tkeywords = {Logic, Constructive mathematics},\n\tschool = {Stanford},\n\ttitle = {The metamathematics of constructive theories of effective operations},\n\tyear = {1972}}\n\n</pre>\n</div>\n\n\n\n</div>\n\n\n\n\n\n    </div>\n  </div>\n\n\n\n\n  </div>\n\n\n  <!-- Modal -->\n\n  <!-- <iframe id=\"bibbase_network_frame\" -->\n  <!--         src=\"//bibbase.org/network/control\" -->\n  <!--         style=\"display: none;\"> -->\n  <!-- </iframe> -->\n\n</div>\n"}; document.write(bibbase_data.data);