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Cut Elimination for the Weak Modal Grzegorczyk Logic via Non-well-Founded Proofs
P. 569-583.
Savateev Y., Shamkanov D. S.
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.
In book
Vol. 11541: Lecture Notes in Computer Science. , Berlin, Heidelberg : Springer, 2019