Cut Elimination for Weak Modal Grzegorczyk Logic via Non-Well-Founded Proofs

Yury Savateev, Daniyar Salkarbekovich Shamkanov · arXiv (Cornell University) · 2018

We present a sequent calculus for the weak Grzegorczyk logic Go 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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