A realizability interpretation for classical analysis. Towsner, H. *Arch. Math. Logic*, 43(7):891–900, 2004.

Journal Pdf doi abstract bibtex 51 downloads

Journal Pdf doi abstract bibtex 51 downloads

We present a realizability interpretation for classical analysis—an association of a term to every proof so that the terms assigned to existential formulas represent witnesses to the truth of that formula. For classical proofs of Π_{2} sentences ∀ x ∃ y A(x,y), this provides a recursive type 1 function which computes the function given by f(x)=y iff y is the least number such that A(x,y).

@article {MR2096140, AUTHOR = {Towsner, Henry}, TITLE = {A realizability interpretation for classical analysis}, JOURNAL = {Arch. Math. Logic}, FJOURNAL = {Archive for Mathematical Logic}, VOLUME = {43}, YEAR = {2004}, NUMBER = {7}, PAGES = {891--900}, ISSN = {0933-5846}, CODEN = {AMLOEH}, MRCLASS = {03F35 (03F05)}, MRNUMBER = {2096140 (2005i:03070)}, MRREVIEWER = {Thomas Strahm}, DOI = {10.1007/s00153-004-0233-3}, URLJOURNAL= {http://dx.doi.org/10.1007/s00153-004-0233-3}, urlpdf={http://www.sas.upenn.edu/~htowsner/realize.pdf}, abstract={We present a realizability interpretation for classical analysis—an association of a term to every proof so that the terms assigned to existential formulas represent witnesses to the truth of that formula. For classical proofs of Π<sub>2</sub> sentences ∀ x ∃ y A(x,y), this provides a recursive type 1 function which computes the function given by f(x)=y iff y is the least number such that A(x,y).}, }

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