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SUBSTRUCTURAL INQUISITIVE LOGICS
The Review of Symbolic Logic, 2019AbstractThis paper shows that any propositional logic that extends a basic substructural logic BSL (a weak, nondistributive, nonassociative, and noncommutative version of Full Lambek logic with a paraconsistent negation) can be enriched with questions in the style of inquisitive semantics and logic.
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Algebraic Perspectives on Substructural Logics
2021This volume presents the state of the art in the algebraic investigation into substructural logics. It features papers from the workshop AsubL (Algebra & Substructural Logics - Take 6). Held at the University of Cagliari, Italy, this event is part of the framework of the Horizon 2020 Project SYSMICS: SYntax meets Semantics: Methods, Interactions ...
Davide Fazio +2 more
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UNIFORM INTERPOLATION IN SUBSTRUCTURAL LOGICS
The Review of Symbolic Logic, 2014AbstractUniform interpolation property of a given logic is a stronger form of Craig’s interpolation property where both pre-interpolant and post-interpolant always exist uniformly for any provable implication in the logic. It is known that there exist logics, e.g., modal propositional logic S4, which have Craig’s interpolation property but do not have ...
Alizadeh, Majid +2 more
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Metacompleteness of Substructural Logics
Studia Logica, 2012The paper studies the extensions of the logic \(\mathbf{FL}\) -- the logic of full Lambek calculus. A logic \(L\) is said to enjoy the disjunction property if the fact that \(\alpha \lor \beta\) is a theorem of \(L\) entails that \(\alpha\) or \(\beta\) is a theorem of \(L\).
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Logic Journal of IGPL, 1994
Summary: Formal systems seem to come in two general kinds: useful and useless. This is painting things starkly, but the point is important. Formal structures can either be used in interesting and important ways, or they can languish unused and irrelevant. Lewis' modal logics are good examples.
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Summary: Formal systems seem to come in two general kinds: useful and useless. This is painting things starkly, but the point is important. Formal structures can either be used in interesting and important ways, or they can languish unused and irrelevant. Lewis' modal logics are good examples.
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Substructural Logics with Mingle
Journal of Logic, Language and Information, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Substructural Implicational Logics Including the Relevant Logic E
Studia Logica, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryo Kashima, Norihiro Kamide
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Tableau Methods for Substructural Logics
1999Over the last few decades a good deal of research in logic has been prompted by the realization that logical systems can be successfully employed to formalize and solve a variety of computational problems. Traditionally, the theoretical framework for most applications was assumed to be classical logic. However, this assumption often turned out to clash
D'AGOSTINO, Marcello +2 more
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Synthesized substructural logics
Mathematical Logic Quarterly, 2007AbstractA mechanism for combining any two substructural logics (e.g. linear and intuitionistic logics) is studied from a proof‐theoretic point of view. The main results presented are cut‐elimination and simulation results for these combined logics called synthesized substructural logics. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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