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

Edward Hermann Haeusler
2015 arXiv   pre-print
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.
arXiv:1505.06506v3 fatcat:qqogaxiknrghhonggq66ltzyny