Gentzen-type formulation of the prepositional logic LQ

Studia Logica 47 (1):41 - 48 (1988)
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Abstract

We give a Gentzen-type formulation GQ for the intermediate logic LQ and prove the cut-elimination theorem on it, where LQ is the propositional logic obtained from the intuitionistic propositional logic LI by adding the axioms of the form AV A.

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