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arXiv · 1512.09171

Contraction Elimination in Sequent Based Ground Equational Calculus

F. Parlamento·F. Previale
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Abstract

In "Cut Elimination for Gentzen's Sequent Calculus with Equality and Logic of Partial Terms" LNCS 7750,161-172(2013), we have shown that the cut rule is eliminable in two ground equational sequent calculi, to be denoted by EQ_M and EQ'. In this note we prove that the contraction rule is not eliminable in EQ_M but it is eliminable in EQ'.

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F. Parlamento, F. Previale. 2015-12-30. Contraction Elimination in Sequent Based Ground Equational Calculus. https://arxiv.org/abs/1512.09171

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