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Semantical cut-elimination for the provability logic of true arithmetic
Published 12 Sep 2023 in math.LO | (2309.05948v1)
Abstract: The quasi-normal modal logic GLS is a provability logic formalizing the arithmetical truth. Kushida (2020) gave a sequent calculus for GLS and proved the cut-elimination theorem. This paper introduces semantical characterizations of GLS and gives a semantical proof of the cut-elimination theorem. These characterizations can be generalized to other quasi-normal modal logics.
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