English

Cut-free LK quasi-polynomially simulates resolution

Logic 2009-09-25 v1

Abstract

In this paper, the relative efficiency of two propositional systems is studied: resolution and cut-free LK in DAG. We give an upper bound for translation of resolution refutation to cut-free LK proofs. The best upper bound known was 2.

Cite

@article{arxiv.math/9804159,
  title  = {Cut-free LK quasi-polynomially simulates resolution},
  author = {Noriko Arai},
  journal= {arXiv preprint arXiv:math/9804159},
  year   = {2009}
}