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The basic intuitionistic logic of proofs

Published online by Cambridge University Press:  12 March 2014

Sergei Artemov  and
Rosalie Iemhoff
Sergei Artemov
Affiliation:
Graduate Center, City University of New York, 365 Fifth Avenue, New York, NY 10016, U.S.A., E-mail: SArtemov@gc.cuny.edu
Rosalie Iemhoff
Affiliation:
Department of Philosophy, University Utrecht, Heidelberglaan 6–8, Utrecht, The Netherlands, E-mail: Rosalie.Iemhoff@phil.uu.nl
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 2 , June 2007 , pp. 439 - 451
Copyright
Copyright © Association for Symbolic Logic 2007

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