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Abstract: The intended meaning of intuitionistic logic is explained by the Brouwer-Heyting-Kolmogorov (BHK) provability semantics which informally defines intuitionistic truth as provability and specifies the intuitionistic connectives via operations on proofs. The problem of finding an adequate formalization of the provability semantics and establishing the completeness of the intuitionistic logic Int was first raised by Gödel in 1933. This question turned out to be a part of the more general problem of ... (Update)
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BibTeX entry: (Update)
S. Artemov. Uniform provability realization of intuitionistic logic, modality and lambda-terms. Electronic Notes on Theoretical Computer Science, 23(1), 1999. http://www.elsevier.nl/entcs/. http://citeseer.ist.psu.edu/artemov99uniform.html More
@misc{ artemov99uniform,
author = "S. Artemov",
title = "Uniform provability realization of intuitionistic logic",
text = "S. Artemov. Uniform provability realization of intuitionistic logic, modality
and lambda-terms. Electronic Notes on Theoretical Computer Science, 23(1),
1999. http://www.elsevier.nl/entcs/.",
year = "1999",
url = "citeseer.ist.psu.edu/artemov99uniform.html" }
Citations (may not include all citations):143 Logic of Programs (context) - Kozen, Tiuryn - 1990 ACM
112 Constructivism in Mathematics (context) - Troelstra, van Dalen - 1988
88 Basic Proof Theory (context) - Troelstra, Schwichtenberg - 1996 ACM
44 the interpretation of intuitionistic number theory (context) - Kleene - 1945
23 Mathematical Logic (context) - Kreisel - 1965
22 Die formalen Regeln der intuitionistischen Logik (context) - Heyting - 1930
22 Some theorems about the sentential calculi of Lewis and Heyt.. (context) - McKinsey, Tarski - 1948 DBLP
16 Logic of Provability - de Jongh, Japaridze - 1998
14 Operational Modal Logic - Artemov - 1995
10 Eine Interpretation des intuitionistischen Aussagenkalkuls (context) - odel - 1933
6 The intended interpretation of intuitionistic logic (context) - Weinstein - 1983
4 About my papers on intuitionistic logic (context) - Kolmogorov - 1985
4 Zur Deutung der intuitionistischen Logik (context) - Kolmogoro - 1932
4 Electronic Notes in Computer Science - Pfenning, Wong et al. - 1995
2 A semantical proof of De Jongh's theorem (context) - van Osten - 1991
2 A theory of constructions equivalent to arithmetic (context) - Goodman - 1970
1 Logic of Proofs: a Unied Semantics for Modality and -terms (context) - Artemov - 1998
1 Unied Semantics for Modality and -terms via Proof Polynomia.. (context) - Artemov - 1999
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