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Titlebook: Automated Reasoning; Second International David Basin,Michaël Rusinowitch Conference proceedings 2004 Springer-Verlag Berlin Heidelberg 200

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A New Combination Procedure for the Word Problem That Generalizes Fusion Decidability Results in Modlogics—whose combination is not disjoint since they share the theory of Boolean algebras. Conversely, decidability results for the fusion of modal logics are strongly tailored towards the special theories at hand, and thus do not generalize to other equational theories..In this paper, we present a n
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Using Automated Theorem Provers to Certify Auto-generated Aerospace Softwarey to generate proof obligations which are then processed by an automated first-order theorem prover (ATP). For full automation, however, the obligations must be aggressively preprocessed and simplified. We discuss the unique requirements this application places on the ATPs and demonstrate how the in
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PDL with Negation of Atomic Programs of PDL have been considered in the literature. A very natural and useful such extension is with negation of programs. Unfortunately, as long-known, reasoning with the resulting logic is undecidable. In this paper, we consider the extension of PDL with negation of atomic programs, only. We argue tha
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Counter-Model Search in Gödel-Dummett Logicses in bi-colored graphs and we propose a linear algorithm to detect r-cycles and build counter-models. Then we characterize the validity of formulae by the existence of r-cycles in boolean constrained graphs. We also give a parallel method to detect r-cycles under boolean constraints. Similar result
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