The Basic Intuitionistic Logic of Proofs
Publication date
2007
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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.
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Iemhoff, R & Artemov, S 2007, 'The Basic Intuitionistic Logic of Proofs', Journal of Symbolic Logic, vol. 72, no. 2, pp. 439-451.