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Titlebook: Automated Reasoning with Analytic Tableaux and Related Methods; International Confer Uwe Egly,Chritian G. Fermüller Conference proceedings

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Lemma and Model Caching in Decision Procedures for Quantified Boolean Formulasradigms is the semantic tree format implemented in the style of the DPLL procedure. In this paper, so-called learning techniques like intelligent backtracking and caching of lemmas which proved useful in the pure propositional case are generalised to the quantified Boolean case and the occuring diff
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Integration of Equality Reasoning into the Disconnection Calculusthe most successful methods for equality handling. The disconnection tableau calculus represents a new confluent framework well suited for the integration of a large class of different methods for equality handling, as we demonstrate in this paper. We consider both saturation based and goal-oriented
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Analytic Sequent Calculi for Abelian and Łukasiewicz Logicsith characteristic model ℤ, motivated in [.] as a logic of . and in [.] as a logic of .. We also show that the so-called . of . coincides with Łukasiewicz’s infinite-valued logic ., hence giving us as a significant by-product, labelled and unlabelled analytic sequent calculi for ..
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On Uniform Word Problems Involving Bridging Operators on Distributive Latticesebras is motivated by the fact that, in description logics, numerical features are often expressed by using maps that associate numerical values to sets (more generally, to lattice elements). We first establish a link between satisfiability of universal sentences with respect to algebraic models and
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A General Theorem Prover for Quantified Modal Logicsf quantified modal logic and dealing with languages where rigid and non-rigid designation can coexist. The calculus uses, to this end, light and simple semantical annotations. Such a general proof-system results from the fusion into a unified framework of two calculi previously defined by the second
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Alan S. Manne,Richard G. Richels a well known example.) All forms of proof analysis are intended to make implicit information of a proof explicit, i.e., visible. Logical proof analysis is mainly concerned with the implicit constructive content of more or less formalized proofs.The following are major examples for logical proof analysis:
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The End of Climate Change 1.0 in the US,erform well for many realistic knowledge bases. We implemented and evaluated several optimisations used in description logic systems, and our results show that with an efficient combination, . can compete with existing highly optimised systems for description logics and first order logic.
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