Kripke Models for Classical Logic

Danko Ilik 1, 2, 3, * Gyesik Lee 4, * Hugo Herbelin 1, 2, *
* Corresponding author
2 PI.R2 - Design, study and implementation of languages for proofs and programs
PPS - Preuves, Programmes et Systèmes, Inria Paris-Rocquencourt, UPD7 - Université Paris Diderot - Paris 7, CNRS - Centre National de la Recherche Scientifique : UMR7126
Abstract : We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the novelty of the notion and its potential applications.
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Danko Ilik, Gyesik Lee, Hugo Herbelin. Kripke Models for Classical Logic. Annals of Pure and Applied Logic, Elsevier Masson, 2010, Special Issue: Classical Logic and Computation (2008), 161 (11), pp.1367-1378. ⟨10.1016/j.apal.2010.04.007⟩. ⟨inria-00371959v4⟩

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