Every super-polynomial proof in purely implicational minimal logic has a polynomially sized proof in classical implicational propositional logic

Edward Hermann Haeusler

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arXiv · 1505.06506

Every super-polynomial proof in purely implicational minimal logic has a polynomially sized proof in classical implicational propositional logic

Edward Hermann Haeusler

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Abstract

In this article we show how any formula A with a proof in minimal implicational logic that is super-polynomially sized has a polynomially-sized proof in classical implicational propositional logic . This fact provides an argument in favor that any classical propositional tautology has short proofs, i.e., NP=CoNP.

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BibTeX RIS

Edward Hermann Haeusler. 2015-05-25. Every super-polynomial proof in purely implicational minimal logic has a polynomially sized proof in classical implicational propositional logic. https://arxiv.org/abs/1505.06506

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