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Title Algebraic perspectives on substructural logics / Davide Fazio, Antonio Ledda, Francesco Paoli, editors
Published Cham, Switzerland : Springer, [2021]
©2021

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Description 1 online resource (x, 193 pages)
Series Trends in logic ; volume 55
Trends in logic ; v. 55.
Contents Editorial Introduction -- Distributivity and Varlet Distributivity -- On Distributive Join Semilattices -- Implication in Weakly and Dually Weakly Orthomodular Lattices -- Residuated Operators and Dedekind–MacNeille Completion -- PBZ*–Lattices: Ordinal and Horizontal Sums -- EMV-Algebras—Extended MV-Algebras -- Quasi-Nelson; Or, Non-involutive Nelson Algebras -- Hyperdoctrines and the Ontology of Stratified Semantics
Summary This 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, and Connections in Substructural logics. Substructural logics are usually formulated as Gentzen systems that lack one or more structural rules. They have been intensively studied over the past two decades by logicians of various persuasions. These researchers include mathematicians, philosophers, linguists, and computer scientists. Substructural logics are applicable to the mathematical investigation of such processes as resource-conscious reasoning, approximate reasoning, type-theoretical grammar, and other focal notions in computer science. They also apply to epistemology, economics, and linguistics. The recourse to algebraic methods -- or, better, the fecund interplay of algebra and proof theory -- has proved useful in providing a unifying framework for these investigations. The AsubL series of conferences, in particular, has played an important role in these developments. This collection will appeal to students and researchers with an interest in substructural logics, abstract algebraic logic, residuated lattices, proof theory, universal algebra, and logical semantics
Bibliography Includes bibliographical references
Subject Logic, Symbolic and mathematical.
Algebra, Abstract.
Algebra, Abstract
Logic, Symbolic and mathematical
Form Electronic book
Author Fazio, Davide, editor
Ledda, Antonio, editor
Paoli, Francesco, editor
AsubL (Workshop) (6th : 2018 : Cagliari, Italy)
ISBN 303052163X
9783030521639