On Proof Complexity of Some Type of Tautologies

Vahagn N. Altunyan, Yerevan State University, Garik V. Petrosyan, Yerevan State University
2021 Mathematical Problems of Computer Science  
In this paper, we investigate the proof complexities of a special type of tautologies, which are described as tautologies consisting of implications and literals. In particular, we prove that the proof of this kind of tautologies can be polynomially reduced to the proof of tautologies consisting of formulas that are described by sign-alternating trees.
doi:10.51408/1963-0080 fatcat:pq3lnmhnonhq5abgjp4kmrjzia