Titlebook: Logic, Language, Information and Computation; 17th International W Anuj Dawar,Ruy Queiroz Conference proceedings 2010 Springer-Verlag Berli

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Foundations of Satisfiability Modulo Theories,uage to certain classes of formulas (such as, typically but not exclusively, quantifier-free formulas), these methods can be implemented into solvers that are more efficient in practice than general-purpose theorem provers.

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Modal Logics with Counting,ate the expressive power of this logic via bisimulations, discuss the complexity of its satisfiability problem, define a new reasoning task that retrieves the cardinality bound of the extension of a given input formula, and provide an algorithm to solve it.

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On the Role of the Complementation Rule for Data Dependencies over Incomplete Relations,s which underpin formally the intuition that the complementation rule is a mere means of database normalization. The results unburden the existing theory of the strong assumption that all attributes are known at the time when the dependencies are specified. The findings extend and unify previous results for the special cases above.

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Decidability and Undecidability Results on the Modal ,-Calculus with a Natural Number-Valued Semantatisfiability problem in the N. semantics and show decidability and undecidability results: the problem is decidable if the logic does not contain the implication operator, while it becomes undecidable if we allow the implication operator.

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Reduction of the Intruder Deduction Problem into Equational Elementary Deduction for Electronic Pur the associative-commutative (AC) equality of the algebraic theory can be decided in polynomial time, provided a strategy to avoid distributivity law between the AC operators is adopted. Moreover, it is also shown that the intruder deduction problem can be reduced in polynomial time to the elementary deduction problem for this equational theory.

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Entailment Multipliers: An Algebraic Characterization of Validity for Classical and Modal Logics,ur as invariants in a proof, a fact that is used to show how several inference systems can be employed to compute entailment multipliers. A similar characterisation of validity for modal logics is presented.

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