English

Cut-elimination for the modal Grzegorczyk logic via non-well-founded proofs

Logic 2017-04-12 v1

Abstract

We present a sequent calculus for the modal Grzegorczyk logic Grz allowing non-well-founded proofs and obtain the cut-elimination theorem for it by constructing a continuous cut-elimination mapping acting on these proofs.

Keywords

Cite

@article{arxiv.1704.03258,
  title  = {Cut-elimination for the modal Grzegorczyk logic via non-well-founded proofs},
  author = {Yury Savateev and Daniyar Shamkanov},
  journal= {arXiv preprint arXiv:1704.03258},
  year   = {2017}
}

Comments

WOLLIC'17, 12 pages, 1 appendix