Algebraic perspectives on substructural logics / Davide Fazio, Antonio Ledda, Francesco Paoli, editors.
2021
QA10 .A44 2021eb
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Title
Algebraic perspectives on substructural logics / Davide Fazio, Antonio Ledda, Francesco Paoli, editors.
ISBN
303052163X (electronic book)
9783030521639 (electronic bk.)
3030521621
9783030521622
9783030521639 (electronic bk.)
3030521621
9783030521622
Published
Cham, Switzerland : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource (x, 193 pages)
Other Standard Identifiers
10.1007/978-3-030-52163-9 doi
Call Number
QA10 .A44 2021eb
Dewey Decimal Classification
511.3
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, etc. Note
Includes bibliographical references.
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Added Meeting Name
AsubL (Workshop) (6th : 2018 : Cagliari, Italy)
Series
Trends in logic ; v. 55.
Available in Other Form
Print version: 9783030521622
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Table of 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.
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.