Titlebook: Logical Foundations of Computer Science; International Sympos Sergei N. Artemov,Anil Nerode Conference proceedings 2007 Springer-Verlag Ber

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Generalized Non-deterministic Matrices and (n,k)-ary Quantifiers,ary quantifiers are systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of an (.,.)-ary quantifier is introduced. The semantics of such systems for the case of . ∈ {0,1} are provided in [16] using two-valued non-deterministic

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On Decidability and Expressiveness of Propositional Interval Neighborhood Logics,ty and expressiveness issues for Propositional Neighborhood Logics (PNLs). We begin by comparing the expressiveness of the different PNLs. Then, we focus on the most expressive one, namely, PNL., and we show that it is decidable over various classes of linear orders by reducing its satisfiability pr

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Reasoning About Sequences of Memory States,ment of separation logic and the temporal logic on the top of it is the standard linear-time temporal logic LTL. We analyze the complexity of various model-checking and satisfiability problems for LTL., considering various fragments of separation logic (including pointer arithmetic), various classes

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Cut Elimination in Deduction Modulo by Abstract Completion, This leads to logical systems like the sequent calculus or natural deduction modulo. Even if deduction modulo is logically equivalent to first-order logic, proofs in such systems are quite different and dramatically simpler with one cost: cut elimination may not hold anymore. We prove first that it

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Density Elimination and Rational Completeness for First-Order Logics,st-order hypersequent calculi. For a large class of calculi, density elimination by this method is guaranteed by known sufficient conditions for cut-elimination. Moreover, adding the density rule to any axiomatic extension of a simple first-order logic gives a logic that is rational complete; i.e.,