Abstract
This paper answers one rather particular question: how to perform a proof of uniform interpolation property in deep inference calculi for modal logics. We show how to perform a proof of uniform interpolation property in deep inference calculus for the basic modal logic K via forgetting a variable in a certain normal form constructed by backward proof search. For that purpose we modify the framework of deep-inference calculus using a cover modality on the meta level to structure deep sequents.KeywordsNormal FormModal LogicDeep SequentKripke ModelSequent CalculusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Published Version
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