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

Yury Savateev, Daniyar Salkarbekovich Shamkanov · arXiv (Cornell University) · 2017

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.

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