Journal of Symbolic Logic

The basic intuitionistic logic of proofs

Sergei Artemov and Rosalie Iemhoff

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Abstract

The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete axiomatization for the basic logic of proofs in Heyting Arithmetic HA was found.

Article information

Source
J. Symbolic Logic, Volume 72, Issue 2 (2007), 439-451.

Dates
First available in Project Euclid: 30 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1185803617

Digital Object Identifier
doi:10.2178/jsl/1185803617

Mathematical Reviews number (MathSciNet)
MR2320284

Zentralblatt MATH identifier
1117.03066

Citation

Artemov, Sergei; Iemhoff, Rosalie. The basic intuitionistic logic of proofs. J. Symbolic Logic 72 (2007), no. 2, 439--451. doi:10.2178/jsl/1185803617. https://projecteuclid.org/euclid.jsl/1185803617


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