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Titlebook: Logic, Language, Information, and Computation; 22nd International W Valeria de Paiva,Ruy de Queiroz,Anjolina G. de Oli Conference proceedin

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An Equation-Based Classical Logic,logic, and quantifiers. The logic has a classical structure over an algebraic base, and a form of universal quantification distinguishing between local and global validity of equational constraints. We present a sound and complete axiomatization for the logic, parameterized by an equational specific
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Cyclic Multiplicative Proof Nets of Linear Logic with an Application to Language Parsing,particular, it presents a simple and intuitive syntax for PNs of the cyclic multiplicative fragment of linear logic (CyMLL). The proposed correctness criterion for CyMLL PNs can be considered as the non-commutative counterpart of the famous Danos-Regnier (DR) criterion for PNs of the pure multiplica
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On the Weak Index Problem for Game Automata,tly it was shown that for this class both hierarchies are decidable. Here we complete the picture by showing that the weak index hierarchy is decidable as well. We also provide a procedure computing for a game automaton an equivalent weak alternating automaton with the minimal index and a quadratic
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Proof-Theoretic Aspects of the Lambek-Grishin Calculus,e and Lamarche [.]. We provide a translation of . into ., which allows . to be seen as a non-conservative extension of .. We then introduce a bimodal version of . that we call 2-.. This allows us to define a faithful translation of . into 2-.. Finally, we show how to accomodate Grishin’s interaction
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Characterizing Frame Definability in Team Semantics via the Universal Modality,the definability of . in the spirit of the well-known Goldblatt–Thomason theorem. We show that an elementary class . of Kripke frames is definable in . if and only if . is closed under taking generated subframes and bounded morphic images, and reflects ultrafilter extensions and finitely generated s
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