{"_id":"Wmb8kDHHjN4GW92rC","bibbaseid":"cohl-greinerpetter-schubotz-automatedsymbolicandnumericaltestingofdlmfformulaeusingcomputeralgebrasystems-2018","authorIDs":[],"author_short":["Cohl, H. S.","Greiner-Petter, A.","Schubotz, M."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","address":"Hagenberg, Austria","series":"Lecture Notes in Computer Science","title":"Automated Symbolic and Numerical Testing of DLMF Formulae Using Computer Algebra Systems","volume":"11006","isbn":"978-3-319-96811-7","url":"https://arxiv.org/abs/2109.08899","doi":"10/ggv8dn","abstract":"We have developed an automated procedure for symbolic and numerical testing of formulae extracted from the NIST Digital Library of Mathematical Functions (DLMF). For the NIST Digital Repository of Mathematical Formulae, we have developed conversion tools from semantic LaTeX to the Computer Algebra System (CAS) Maple which relies on Youssef's part-of-math tagger. We convert a test data subset of 4,078 semantic LaTeX DLMF formulae to the native CAS representation and then apply an automated scheme for symbolic and numerical testing and verification. Our framework is implemented using Java and Maple. We describe in detail the conversion process which is required so that the CAS can correctly interpret the mathematical representation of the formulae. We describe the improvement of the effectiveness of our automated scheme through incremental enhancement (making more precise) of the mathematical semantic markup for the formulae.","urldate":"2021-09-08","booktitle":"Proceedings International Conference on Intelligent Computer Mathematics (CICM)","publisher":"Springer International Publishing","author":[{"propositions":[],"lastnames":["Cohl"],"firstnames":["Howard","S."],"suffixes":[]},{"propositions":[],"lastnames":["Greiner-Petter"],"firstnames":["Andre"],"suffixes":[]},{"propositions":[],"lastnames":["Schubotz"],"firstnames":["Moritz"],"suffixes":[]}],"editor":[{"propositions":[],"lastnames":["Rabe"],"firstnames":["Florian"],"suffixes":[]},{"propositions":[],"lastnames":["Farmer"],"firstnames":["William","M."],"suffixes":[]},{"propositions":[],"lastnames":["Passmore"],"firstnames":["Grant","O."],"suffixes":[]},{"propositions":[],"lastnames":["Youssef"],"firstnames":["Abdou"],"suffixes":[]}],"year":"2018","pages":"39–52","bibtex":"@inproceedings{BibbaseCohlGS18,\n\taddress = {Hagenberg, Austria},\n\tseries = {Lecture {Notes} in {Computer} {Science}},\n\ttitle = {Automated {Symbolic} and {Numerical} {Testing} of {DLMF} {Formulae} {Using} {Computer} {Algebra} {Systems}},\n\tvolume = {11006},\n\tisbn = {978-3-319-96811-7},\n\turl = {https://arxiv.org/abs/2109.08899},\n\tdoi = {10/ggv8dn},\n\tabstract = {We have developed an automated procedure for symbolic and numerical testing\nof formulae extracted from the NIST Digital Library of Mathematical Functions\n(DLMF). For the NIST Digital Repository of Mathematical Formulae, we have\ndeveloped conversion tools from semantic LaTeX to the Computer Algebra System\n(CAS) Maple which relies on Youssef's part-of-math tagger. We convert a test data subset\nof 4,078 semantic LaTeX DLMF formulae\nto the native CAS representation and then apply an automated scheme for symbolic and numerical\ntesting and verification. Our framework is implemented using Java and Maple.\nWe describe in detail the conversion process which is required so that the\nCAS can correctly interpret the mathematical representation of the formulae.\nWe describe the improvement of the effectiveness of our automated scheme through\nincremental enhancement (making more precise) of the mathematical semantic markup\nfor the formulae.},\n\turldate = {2021-09-08},\n\tbooktitle = {Proceedings {International} {Conference} on {Intelligent} {Computer} {Mathematics} ({CICM})},\n\tpublisher = {Springer International Publishing},\n\tauthor = {Cohl, Howard S. and Greiner-Petter, Andre and Schubotz, Moritz},\n\teditor = {Rabe, Florian and Farmer, William M. and Passmore, Grant O. and Youssef, Abdou},\n\tyear = {2018},\n\tpages = {39--52},\n}\n\n","author_short":["Cohl, H. S.","Greiner-Petter, A.","Schubotz, M."],"editor_short":["Rabe, F.","Farmer, W. M.","Passmore, G. O.","Youssef, A."],"key":"BibbaseCohlGS18","id":"BibbaseCohlGS18","bibbaseid":"cohl-greinerpetter-schubotz-automatedsymbolicandnumericaltestingofdlmfformulaeusingcomputeralgebrasystems-2018","role":"author","urls":{"Paper":"https://arxiv.org/abs/2109.08899"},"metadata":{"authorlinks":{}},"downloads":0},"bibtype":"inproceedings","biburl":"https://api.zotero.org/users/7689706/collections/IBJGRWZX/items?key=R0b523dc3oYLxTGap1H4YXgd&format=bibtex&limit=100","creationDate":"2020-05-17T17:01:38.146Z","downloads":0,"keywords":[],"search_terms":["automated","symbolic","numerical","testing","dlmf","formulae","using","computer","algebra","systems","cohl","greiner-petter","schubotz"],"title":"Automated Symbolic and Numerical Testing of DLMF Formulae Using Computer Algebra Systems","year":2018,"dataSources":["qc7uSzBsM3HR4B7Wj","QGwcHf7xnb5mCCQi7","3wTLgXcXueP5mYbfu","cZ8X4Ke5so9b7csrB","wZtCXbB8M6GYSQHMx"]}