Titlebook: Logic, Language, Information, and Computation; 23rd International W Jouko Väänänen,Åsa Hirvonen,Ruy de Queiroz Conference proceedings 2016

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Logic, Language, Information, and Computation978-3-662-52921-8Series ISSN 0302-9743 Series E-ISSN 1611-3349

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A Logical Approach to Context-Specific Independence,logue of dependence logic suitable to express context-specific independence and study its basic properties. We also consider the problem of finding inference rules for deriving non-local CSI and CI statements that logically follow from the structure of a LDAG but are not explicitly encoded by it.

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Sheaves of Metric Structures,etely controlled and understood by the forcing rules in the sheaf and Theorem .. This work extends early constructions due to Comer [.] and Macintyre [.] and later developments due to Caicedo [.], to the context of continuous logic. We illustrate these concepts by studying the metric sheaf of the continuous cyclic flow on tori.

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A Classical Propositional Logic for Reasoning About Reversible Logic Circuits,d and complete semantics for this system. We show that all strong equivalences of reversible logic circuits are provable in the system, derive an equivalent equational theory, and describe its main applications in the verification of both reversible circuits and template-based reversible circuit rewriting systems.

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Descriptive Complexity of Graph Spectra,e case with ., nor with any number of variables if we exclude counting quantifiers. We also show that the class of graphs that are determined by their spectra is definable in partial fixed-point logic with counting. We relate these properties to other algebraic and combinatorial problems.

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Causality in Bounded Petri Nets is MSO Definable,s is recognizable by a saturated slice automaton if and only if . is definable in monadic second order logic. This result generalizes Büchi’s theorem from the context of strings, to the context of .-coverable DAGs.

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