Cut-eliminability in second order logic calculi

Toshiyasu Arai

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arXiv · 1701.00929

Cut-eliminability in second order logic calculi

Toshiyasu Arai

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Abstract

In this paper we propose a semantics in which the truth value of a formula is a pair of elements in a complete Boolean algebra. Through the semantics we can unify largely two proofs of cut-eliminability (Hauptsatz) in classical second order logic calculus, one is due to Takahashi-Prawitz and the other by Maehara.

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BibTeX RIS

Toshiyasu Arai. 2017-01-04. Cut-eliminability in second order logic calculi. https://arxiv.org/abs/1701.00929

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