Uniform interpolation and sequent calculi in modal logic

Archive for Mathematical Logic 58 (1-2):155-181 (2019)
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Abstract

A method is presented that connects the existence of uniform interpolants to the existence of certain sequent calculi. This method is applied to several modal logics and is shown to cover known results from the literature, such as the existence of uniform interpolants for the modal logic \. New is the result that \ has uniform interpolation. The results imply that for modal logics \ and \, which are known not to have uniform interpolation, certain sequent calculi cannot exist.

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Rosalie Iemhoff
Utrecht University

Citations of this work

Uniform interpolation and the existence of sequent calculi.Rosalie Iemhoff - 2019 - Annals of Pure and Applied Logic 170 (11):102711.
Uniform Lyndon interpolation property in propositional modal logics.Taishi Kurahashi - 2020 - Archive for Mathematical Logic 59 (5-6):659-678.
The G4i Analogue of a G3i Sequent Calculus.Rosalie Iemhoff - 2022 - Studia Logica 110 (6):1493-1506.

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