Titlebook: Automated Reasoning; 7th International Jo Stéphane Demri,Deepak Kapur,Christoph Weidenbach Conference proceedings 2014 Springer Internation

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And-Or Tableaux for Fixpoint Logics with Converse: LTL, CTL, PDL and CPDLncentrate on three of them: Linear Time Temporal Logic (LTL), branching time Computation Tree temporal Logic (CTL), and Propositional Dynamic Logic (PDL), with and without converse. More specifically, I would like to present results and techniques on how to solve the satisfiability problem in these

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gerontocracy

A Focused Sequent Calculus for Higher-Order Logicuality reasoning. Classical reasoning is enabled by extending the system with rules for . and the axiom of choice. The resulting system is proved sound with respect to Church’s simple type theory. The soundness proof has been formalized in Agda. A theorem prover based on bottom-up search in the calc

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SAT-Based Decision Procedure for Analytic Pure Sequent CalculiT. The proposed reduction is based on interpreting these calculi using non-deterministic semantics. Its time complexity is polynomial, and, in fact, linear for a useful subfamily. We further study an extension of such calculi with . operators, and show that this extension preserves analyticity and i

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A Unified Proof System for QBF Preprocessingented the extraction of proofs for the original formula. Such proofs are required to independently validate correctness of the preprocessor’s rewritings and the solver’s result. Especially for universal expansion proof checking was not possible so far. In this paper, we introduce a unified proof sys

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A Gentle Non-disjoint Combination of Satisfiability Proceduressfiability procedures available for the component theories. This is the purpose of the combination method introduced by Nelson and Oppen. However, in its initial presentation, the Nelson-Oppen combination method requires the theories to be signature-disjoint and stably infinite (to guarantee the exi

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A Rewriting Strategy to Generate Prime Implicates in Equational Logicning, like planning and diagnosis, and although the subject has been extensively studied (and still is) in propositional logic, very few have approached the problem in more expressive logics because of its intrinsic complexity. This paper presents one such approach for flat ground equational logic.

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Finite Quantification in Hierarchic Theorem Provingtic. A major unsolved research challenge is to design theorem provers that are “reasonably complete” even in the presence of free function symbols ranging into a background theory sort. In this paper we consider the case when all variables occurring below such function symbols are quantified over a

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