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Abstract: The traditional Curry-Howard isomorphism given a derivation of F from assumptions in intuitionistic modal logic constructs the -term t(~x) such that the sequent ~x : ) t(~x) : F is derivable in the corresponding calculus of typed modal -terms. Technically speaking this isomorphism is a realization by -terms of the outermost modalities in some (not all) derivable modal sequents 2 ) 2F . In this talk we describe a system of -terms (in the combinatory terms form) LPi sucient for a... (Update)
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BibTeX entry: (Update)
@misc{ artemov-deep,
author = "Sergei N. Artemov",
title = "Deep Isomorphism of Modal Derivations and λ-Terms",
url = "citeseer.ist.psu.edu/artemov99deep.html" }
Citations (may not include all citations):88 Basic Proof Theory (context) - Troelstra, Schwichtenberg - 1996
72 North-Holland (context) - Takeuti, Theory - 1975
38 A computational interpretation of modal proofs - Martini, Masini - 1994
14 Coming to Terms with Modal Logic: On the interpretation of m.. (context) - Borghuis - 1994
14 Operational Modal Logic - Artemov - 1995
4 Electronic Notes in Computer Science - Pfenning, Wong et al. - 1995
3 Explicit provability: the intended semantics for intuitionis.. - Artemov - 1998
1 To appear in Logic (context) - Artemov, for et al. - 1999
Documents on the same site (http://www.math.cornell.edu/~artemov/publ.html): More
Logic of Proofs: a Unified Semantics for Modality and lambda-Terms - Artemov (1998) (Correct)
Proof Realizations of Typed lambda-Calculi - Artemov (1997) (Correct)
Unified Semantics for Modality and lambda-terms via Proof.. - Artemov (Correct)
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