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

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.

arXiv commentWOLLIC'17, 12 pages, 1 appendix