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arXiv · 1705.00693

The Cut Elimination and the Nonlengthening Property for the Sequent Calculus with Equality

Franco Parlamento·Flavio Previale
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Abstract

We show how Leibnitz.s indiscernibility principle and Gentzen's original work lead to extensions of the sequent calculus to first order logic with equality and investigate the cut elimination property. Furthermore we discuss and improve the nonlengthening property of Lifshitz and Orevkov.

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Franco Parlamento, Flavio Previale. 2017-05-01. The Cut Elimination and the Nonlengthening Property for the Sequent Calculus with Equality. https://arxiv.org/abs/1705.00693

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