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Titlebook: Logic Programming and Automated Reasoning; 6th International Co Harald Ganzinger,David McAllester,Andrei Voronkov Conference proceedings 19

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Evidence Algorithm and Sequent Logical Inference Searchdevelopment of deductive techniques used for the processing of mathematical texts, written in a formal first-order language, close to the natural language used in mathematical papers. We construct two logical calculi, gS and mS, satisfying the following requirements: the syntactical form of the init
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First Order Linear Temporal Logic over Finite Time Structuresm for such a logic is not recursively enumerable, hence .. is not recursively axiomatizable..This negative result however does not hold in the case of . validity, that is truth in all temporal models where the object domain is possibly infinite, but the underlying sequence of time points does not ex
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Model Checking Games for the Alternation-Free ,-Calculus and Alternating Automata whether a formula is valid or not they determine a winning strategy which can be employed for explaining to the user why the formula is valid or not. 1SWABA are a restricted class of alternating Büchi automata and were defined in [BVW94]. They admit efficient automata-based model checking for CTL a
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Transforming Conditional Rewrite Systems with Extra Variables into Unconditional Systemss quasi-reductive, then it is terminating and has a computable rewrite relation. It will be shown that every deterministic CTRS . can be transformed into an unconditional TRS .(.) such that termination of .(.) implies quasi-reductivity of .. The main theorem states that quasi-reductivity of . implie
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Regular Sets of Descendants for Constructor-Based Rewrite Systems of descendants .* (.) of . for a constructor-based term rewrite system whose right-hand-sides fulfill the following three restrictions: linearity, no nested function symbols, function arguments are variables or ground terms. Note that left-linearity is not assumed. We next present several applicati
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Complexity of Terminological Reasoning Revisitedrepresentation of terminological knowledge. Largely due to a classical result given by Nebel [.], complexity analyses for DLs have, until now, mostly failed to take into account the most basic form of TBoxes, so-called . TBoxes. In this paper, we concentrate on DLs for which reasoning without TBoxes
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