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Titlebook: Logic, Language, Information, and Computation; 21st International W Ulrich Kohlenbach,Pablo Barceló,Ruy Queiroz Conference proceedings 2014

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楼主: Hypothesis
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On the Construction of Analytic Sequent Calculi for Sub-classical Logics,First, a general syntactic criterion for analyticity in the family of pure sequent calculi is presented. Next, given a basic calculus admitting this criterion, we provide a method to construct weaker pure calculi by collecting simple derivable rules of the basic calculus. The obtained calculi are an
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Ulrich Kohlenbach,Pablo Barceló,Ruy QueirozUp-to-date results.Fast-conference proceedings tracks.Inter-disciplinary Research
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/l/image/588061.jpg
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Logic, Language, Information, and Computation978-3-662-44145-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Definability for Downward and Vertical XPath on Data Trees,sufficient conditions for a class of pointed data trees to be definable by a set of formulas or by a single formula of each of the studied logics. To do so, we introduce a notion of saturation, and show that over saturated data trees bisimulation coincides with logical equivalence.
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Theorems on Pre-fixed Points of Non-Monotonic Functions with Applications in Logic Programming and ramming and formal grammars. In particular, the results of the paper lead to a natural generalization of the model intersection theorem for definite logic programs, to the more general class of normal logic programs. Moreover, the obtained results also offer the first (to our knowledge) model intersection result for Boolean grammars.
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On the Broader Epistemological Significance of Self-Justifying Axiom Systems,our previous infinite-sized self-verifying logics into formalisms or purely finite size). It will explain how self-justification is useful, even when the Incompleteness Theorem clearly limits its scope.
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