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

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Non-distributive Description Logicshow its termination, soundness and completeness. Interestingly, consistency checking for LE-. with acyclic TBoxes is in ., while the complexity of the consistency checking of classical . with acyclic TBoxes is .-complete.
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: Gymnasium Environments for Saturation Provers (System description) multi-armed bandit. We applied two reinforcement learning algorithms (Thompson sampling and Proximal policy optimisation) implemented in Ray RLlib to show the ease of experimentation with the new release of our package.
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Proof Systems for the Modal ,-Calculus Obtained by Determinizing Automatag this construction we define the annotated cyclic proof system ., where formulas are annotated by tuples of binary strings. Soundness and Completeness of this system follow almost immediately from the correctness of the determinization method.
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Non-Classical Logics in Satisfiability Modulo Theoriess. 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 log
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Non-distributive Description Logicand semantically interpreted on relational structures based on formal contexts from Formal Concept Analysis (FCA). The description logic LE-. allows us to formally describe databases with objects, features, and formal concepts, represented according to FCA as Galois-stable sets of objects and featur
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A New Calculus for Intuitionistic Strong Löb Logic: Strong Termination and Cut-Elimination, Formalisöb logic ., an intuitionistic modal logic with a provability interpretation. A novel measure on sequents is used to prove both the termination of the naive backward proof search strategy, and the admissibility of cut in a syntactic and direct way, leading to a straightforward cut-elimination procedu
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