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

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Cut-Elimination and Proof Schemata,cut-free proof; cut-free proofs are analytic and consist entirely of syntactic material of the end-sequent (the proven theorem). But in systems with induction rules, cut-elimination is either impossible or does not produce proofs with the subformula property. One way to overcome this problem is to f
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Towards a Suppositional Inquisitive Semantics,as in .. In the latter type of exchange, both participants make a certain ., and exchange information under the assumption that this supposition holds. This paper develops a semantic framework for the analysis of this kind of information exchange. Building on earlier work in inquisitive semantics, i
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Kripke Models Built from Models of Arithmetic,ion . is said to be an . if for any model . of ., . iff . for all . with ., where . is an intensionally correct provability predicate of .. The existence of arithmetical accessibility relations yields a new perspective on the arithmetical completeness of .. We show that any finite Kripke model for t
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Positive Formulas in Intuitionistic and Minimal Logic,nd .. For each formula . of . we define the positive formula . that represents the positive content of .. The formulas . and . exhibit the same behavior on top models, models with a largest world that makes all atomic sentences true. We characterize the positive formulas of . and . as the formulas t
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Frame Theory, Dependence Logic and Strategies, frames are defined as a particular kind of typed feature structures. On this approach, the semantic value of a lexical item is reduced to its contribution to the truth conditions of sentences in which it occurs. This reduction does neither account for dynamic phenomena nor for results from neurosci
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,Alternative Semantics for Visser’s Propositional Logics,y logic ., an extension of ., is determined by the class of all irreflexive and transitive finite Kripke frames. While Visser showed that . is embeddable into the modal logic ., we first show that . is embeddable into the modal logic ., which is determined by the class of all weakly transitive Kripk
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