Titlebook: Logic, Language, and Computation; 8th International Tb Nick Bezhanishvili,Sebastian Löbner,Luca Spada Conference proceedings 2011 Springer-

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Logic, Language, and Computation978-3-642-22303-7Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/l/image/588068.jpg

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https://doi.org/10.1007/978-3-642-22303-7AI logics; game theory; inference; modal logic; relational semantics

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A Note on Uniform Interpolation Proofs in Modal Deep Inference Calculi. We show how to perform a proof of uniform interpolation property in deep inference calculus for the basic modal logic . 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.

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Logic of Questions and Public Announcementsns proposed in [6] we employ the framework of public announcement logic to explore the flow of information in the process of asking and replying questions in a group. We show that some of the erotetic notions we introduce nicely correspond to the standard epistemic ones.

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A Note on Uniform Interpolation Proofs in Modal Deep Inference Calculi. We show how to perform a proof of uniform interpolation property in deep inference calculus for the basic modal logic . 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 modalit