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arxiv: 1704.03258 · v1 · pith:X3JPJDV4new · submitted 2017-04-11 · 🧮 math.LO

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

classification 🧮 math.LO
keywords cut-eliminationproofsgrzegorczyklogicmodalnon-well-foundedactingallowing
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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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