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arXiv · 1810.11407

Absorbing the Structural Rules in the Sequent Calculus with Additional Atomic Rules

Franco Parlamento·Flavio Previale
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Abstract

We show that if the structural rules are admissible over a set R of atomic rules, then they are admissible in the sequent calculus obtained by adding the rules in R to G3[mic]. Two applications to pure logic and to the sequent calculus with equality are presented.

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Franco Parlamento, Flavio Previale. 2018-10-26. Absorbing the Structural Rules in the Sequent Calculus with Additional Atomic Rules. https://arxiv.org/abs/1810.11407

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