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Moscow Mathematical Journal, 2001, Volume 1, Number 4, Pages 475–490
DOI: https://doi.org/10.17323/1609-4514-2001-1-4-475-490 (Mi mmj32) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On first order logic of proofs

S. N. Artemova, T. Yavorskayab

a City University of New York, Graduate Center
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2001-1-4-475-490
Abstract: The Logic of Proofs LP solved long standing Gödel's problem concerning his provability calculus (cf. [1]). It also opened new lines of research in proof theory, modal logic, typed programming languages, knowledge representation, etc. The propositional logic of proofs is decidable and admits a complete axiomatization. In this paper we show that the first order logic of proofs is not recursively axiomatizable.
Key words and phrases: Logic of proofs, provability, recursive axiomatizability.
Received: July 7, 2001; in revised form January 9, 2002
Bibliographic databases:
MSC: Primary 03F45; Secondary 03F30, 03F50
Language: English
Citation: S. N. Artemov, T. Yavorskaya, “On first order logic of proofs”, Mosc. Math. J., 1:4 (2001), 475–490
Citation in format AMSBIB
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\by S.~N.~Artemov, T.~Yavorskaya
\paper On first order logic of proofs
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\yr 2001
\vol 1
\issue 4
\pages 475--490
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    • This publication is cited in the following 15 articles:
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