Titlebook: Logic, Language, and Computation; 10th International T Martin Aher,Daniel Hole,Clemens Kupke Conference proceedings 2015 Springer-Verlag Be

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Conference proceedings 2015udauri, Georgia, in September 2013. The conference series is centered around the interaction between logic, language and computation. The contributions represent these three fields and the symposia aim to foster interaction between them..The book consists of 16 papers that were carefully reviewed an

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Duality and Universal Models for the Meet-Implication Fragment of IPC,ation of the up-sets of Kripke models of intuitionistic logic which can be defined by meet-implication-formulas. We use these results to derive a new version of subframe formulas for intuitionistic logic and to show that the uniform interpolants of meet-implication-formulas are not necessarily uniform interpolants in the full intuitionistic logic.

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Positive Formulas in Intuitionistic and Minimal Logic,hat . is conservative over the positive fragment of . is shown to generalize to many logics with positive axioms. In first-order logic, we show that . + . (double negation shift) + . is conservative over the positive fragment of . and similar results as for ..

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Deontic Conflicts and Multiple Violations,olution to deontic conflicts is made possible by the semantics allowing permission and prohibition statements to introduce multiple violations. Each rule is assigned a different violation, allowing for reasoning with rules also in cases where it is impossible to avoid violating all rules.

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