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Cut-Elimination and a Permutation-Free Sequent Calculus for Intuitionistic Logic
Authors:Dyckhoff  Roy  Pinto  Luis
Institution:(1) School of Mathematical & Computational Sciences, St Andrews University St Andrews, Scotland
Abstract:We describe a sequent calculus, based on work of Herbelin, of which the cut-free derivations are in 1-1 correspondence with the normal natural deduction proofs of intuitionistic logic. We present a simple proof of Herbelin's strong cut-elimination theorem for the calculus, using the recursive path ordering theorem of Dershowitz.
Keywords:Cut-elimination  normalisation  natural deduction  intuitionistic logic  recursive path ordering  termination
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