Titlebook: Automated Reasoning with Analytic Tableaux and Related Methods; 32nd International C Revantha Ramanayake,Josef Urban Conference proceedings

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A Linear Perspective on Cut-Elimination for Non-wellfounded Sequent Calculi with Least and Greatest prior works by Santocanale and Fortier [.] as well as Baelde et al. [., .]. The paper studies a fixed-point encoding of . exponentials in order to deduce those cut-elimination results from that of .. Cut-elimination for . and . is obtained by developing appropriate linear decorations for those logics.

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Automated Reasoning with Analytic Tableaux and Related Methods978-3-031-43513-3Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Uzoechi Nwagbara,Anthony Kalagbors. By way of demonstration, we implement the description logic . in the Z3 SMT solver and show that working with user-propagators allows us to significantly outperform encodings to first-order logic with relatively little effort. We promote user-propagators for creating solvers for non-classical logics based on tableau calculi.

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Michele Rostan,Flavio A. Ceravolo Russellian, but avoids some of its well known drawbacks and treats definite description as genuine terms. A constructive proof of the cut elimination theorem and a Henkin-style proof of completeness are the main results of this contribution.

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Study Success in Higher Educationprior works by Santocanale and Fortier [.] as well as Baelde et al. [., .]. The paper studies a fixed-point encoding of . exponentials in order to deduce those cut-elimination results from that of .. Cut-elimination for . and . is obtained by developing appropriate linear decorations for those logics.

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978-3-031-43512-6The Editor(s) (if applicable) and The Author(s) 2023