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Titlebook: Logic, Language, Information, and Computation; 26th International W Rosalie Iemhoff,Michael Moortgat,Ruy de Queiroz Conference proceedings

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A Self-contained Provability Calculus for ,the logic . (for .). The language of . extends said ordinal notation system to a strictly positive modal language. Thus, unlike other provability logics, . is based on a purely modal signature that gives rise to an ordinal notation system instead of modalities indexed by some ordinal given . Moreove
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Descriptive Complexity of Deterministic Polylogarithmic Time,ates the elements of the input domain from the bit positions needed to address these elements. In the course of proving that our logic indeed captures . on finite ordered structures, we introduce a variant of random-access Turing machines that can access the relations and functions of the structure
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,A Representation Theorem for Finite Gödel Algebras with Operators,omorphisms is dually equivalent to the category of finite forests with order-preserving open maps, the dual relational frames of GAOs are .: finite forests endowed with two binary (crisp) relations satisfying suitable properties. Our main result is a Jónsson-Tarski like representation theorem for th
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Uniform Labelled Calculi for Conditional and Counterfactual Logics, operator expressing conditionality. Labelled proof systems are proposed here that capture in a modular way Burgess’s preferential conditional logic ., Lewis’s counterfactual logic ., and their extensions. The calculi are based on preferential models, a uniform semantics for conditional logics intro
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Complexity Thresholds in Inclusion Logic,own to capture non-deterministic polynomial time, and the frontiers of tractability in these logics are relatively well understood. Inclusion logic is similar to these team-based logical formalisms with the exception that it corresponds to deterministic polynomial time in ordered models. In this art
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