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Titlebook: Algebraic Perspectives on Substructural Logics; Davide Fazio,Antonio Ledda,Francesco Paoli Book 2021 Springer Nature Switzerland AG 2021 S

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发表于 2025-3-21 18:09:38 | 显示全部楼层 |阅读模式
期刊全称Algebraic Perspectives on Substructural Logics
影响因子2023Davide Fazio,Antonio Ledda,Francesco Paoli
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发行地址Explores the algebraic investigation into substructural logics.Features papers from AsubL (Algebra & Substructural Logics - Take 6).Details the state-of-the art in the area
学科分类Trends in Logic
图书封面Titlebook: Algebraic Perspectives on Substructural Logics;  Davide Fazio,Antonio Ledda,Francesco Paoli Book 2021 Springer Nature Switzerland AG 2021 S
影响因子.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
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https://doi.org/10.1007/978-3-642-20904-8algebraic property introduced in a previous paper, and called .-congruence orderability therein. The equivalence of the four presentations, and in particular the extension of the twist-structure representation to the non-involutive case, is the main technical result of the paper. We hope, however, t
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,Residuated Operators and Dedekind–MacNeille Completion,orthomodular posets for which their Dedekind–MacNeille completion is an orthomodular lattice and we introduce the so-called strongly .-continuous pseudo-orthomodular posets. Finally we prove that, for a pseudo-orthomodular poset ., the Dedekind–MacNeille completion . is an orthomodular lattice if an
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Quasi-Nelson; Or, Non-involutive Nelson Algebras,algebraic property introduced in a previous paper, and called .-congruence orderability therein. The equivalence of the four presentations, and in particular the extension of the twist-structure representation to the non-involutive case, is the main technical result of the paper. We hope, however, t
发表于 2025-3-22 15:09:27 | 显示全部楼层
1572-6126 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 978-3-030-52165-3978-3-030-52163-9Series ISSN 1572-6126 Series E-ISSN 2212-7313
发表于 2025-3-22 18:49:58 | 显示全部楼层
https://doi.org/10.1007/978-3-642-20904-8ement with a special category of MV-algebras. We will study states and state-morphisms, their topological properties, a Krein–Mil’man-type representation, and an integral representation. We show also a kind of the Loomis–Sikorski theorem. Finally, we present some results on free EMV-algebras.
发表于 2025-3-22 22:28:04 | 显示全部楼层
,EMV-Algebras—Extended MV-Algebras,ement with a special category of MV-algebras. We will study states and state-morphisms, their topological properties, a Krein–Mil’man-type representation, and an integral representation. We show also a kind of the Loomis–Sikorski theorem. Finally, we present some results on free EMV-algebras.
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