A propositional proof system is automatizable if there is an algorithm that, given a tautology, produces a proof in time polynomial in the size of its smallest proof. This notion ...
— The aim of the present work is to present a characterization of the Gentzen System G by means of a regulated grammar, according to the Formal Languages Theory. Given a proposit...
Ruben Monjaraz Hernandez-Imbert, Jose de Jesus Lav...
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
The existence of a (p-)optimal propositional proof system is a major open question in (proof) complexity; many people conjecture that such systems do not exist. Kraj´ıˇcek and P...