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Titlebook: Logic, Language, Information, and Computation; 20th International W Leonid Libkin,Ulrich Kohlenbach,Ruy Queiroz Conference proceedings 2013

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Linear Time Proof Verification on N-Graphs: A Graph Theoretic Approach,echniques from the theory of proof-nets to present a multiple-conclusion calculus for classical propositional logic. The soundness criterion is based on the one given by Danos and Regnier for Linear Logic. We use a DFS-like search to check the validity of the cycles in a proof graph, and some proper
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First Order Extensions of Residue Classes and Uniform Circuit Complexity,t is shown that this logic and its extensions capture .-uniform circuit complexity classes ranging from .. to ... Separability results are obtained for the hierarchy of these logics when order is not present, and for . from the unordered version. These separations are obtained using tools from class
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Quantum Probabilistic Dyadic Second-Order Logic,composite systems, and with probabilistic predication formulas .. (.), saying that a quantum system in state . will yield the answer ‘yes’ (i.e. it will collapse to a state satisfying property .) with a probability at least . whenever a binary measurement of property . is performed. Besides first-or
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Boolean Dependence Logic and Partially-Ordered Connectives,is a Boolean variable. Intuitively, with Boolean dependence atoms one can express quantification of relations, while standard dependence atoms express quantification over functions..We compare the expressive power of . to . and first-order logic enriched by partially-ordered connectives, .. We show
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