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Titlebook: Logic and Implication; An Introduction to t Petr Cintula,Carles Noguera Book 2021 Springer Nature Switzerland AG 2021 Non-Classical Logics.

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发表于 2025-3-21 16:12:46 | 显示全部楼层 |阅读模式
书目名称Logic and Implication
副标题An Introduction to t
编辑Petr Cintula,Carles Noguera
视频video
概述Presents an introduction to the algebraic study of non-classical logics.Details a powerful methodology to understand logics with implication.Includes many particular logics as examples for the theory
丛书名称Trends in Logic
图书封面Titlebook: Logic and Implication; An Introduction to t Petr Cintula,Carles Noguera Book 2021 Springer Nature Switzerland AG 2021 Non-Classical Logics.
描述.This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions..Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics..The bookmay be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics
出版日期Book 2021
关键词Non-Classical Logics; Algebraic Logic; Abstract Algebraic Logic; Propositional Logic; Predicate Logic; Lo
版次1
doihttps://doi.org/10.1007/978-3-030-85675-5
isbn_softcover978-3-030-85677-9
isbn_ebook978-3-030-85675-5Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Nature Switzerland AG 2021
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发表于 2025-3-21 21:19:39 | 显示全部楼层
Petr Cintula,Carles Noguera, die sich innerhalb einer zeitlich begrenzten Zeitspanne - in der Regel ohne Vorkenntnisse - in die Materie der handelsrechtlichen Finanzbuch­ führung einarbeiten wollen oder müssen und als Leistungsnachweis die erfolgrei­ che Teilnahme an einer darauf abgestimmten schriftlichen Abschlußprüfung an­
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e notwendig wurde. Besonders bedanken möchten wir uns bei allen denjenigen, die uns auf festgestellte Unge­ nauigkeiten hingewiesen haben. Und in der Tat: Auch uns hat der "Druckfehler­ teufel" nicht völlig verschont. In der vorliegenden 2. Auflage haben wir deshalb alles noch einmal gründlich übera
发表于 2025-3-22 15:45:03 | 显示全部楼层
Weakly Implicative Logics,..We start by introducing basic syntactical notions (variables, connectives, formulas, Hilbert-style proof systems, etc.) and giving a purely syntactical definition of logics as mathematical objects (namely, as structural consequence relations). After testing the definition with three extreme, mostl
发表于 2025-3-22 20:34:28 | 显示全部楼层
Completeness Properties,mplete semantics for a given logic. We identify three kinds of completeness based on how we restrict the cardinality of the sets of premises: we distinguish strong completeness, where there is no restriction, finite strong completeness, where we restrict ourselves to finite sets of premises, and wea
发表于 2025-3-23 00:36:39 | 显示全部楼层
On Lattice and Residuated Connectives,apter is devoted to the study of two groups of important connectives: lattice and residuated connectives..We start by exploring the logical and algebraic properties of these connectives. In the style of this book, we introduce them in terms of Hilbert-style rules which enforce the expected semantica
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Semilinear Logics,th respect to linearly ordered reduced matrices..We start by formulating and proving useful characterizations of semilinear logics in terms of linear filters, a syntactical metarule akin to the proof by cases property, and the coincidence of finitely subdirectly irreducible and linearly ordered redu
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