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Logic and implication = an introduct...

Cintula, Petr.

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Logic and implication = an introduction to the general algebraic study of non-classical logics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Logic and implication/ by Petr Cintula, Carles Noguera.
Reminder of title:	an introduction to the general algebraic study of non-classical logics /
Author:	Cintula, Petr.
other author:	Noguera, Carles.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xxii, 465 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Preliminaries -- Chapter 2. Weakly Implicative Logics -- Chapter 3. Substructural Logics -- Chapter 4. Generalized Disjunctions -- Chapter 5. Semilinear Logics -- Chapter 6. First-Order Predicate Logics.
Contained By:	Springer Nature eBook
Subject:	Logic, Symbolic and mathematical. -
Online resource:	https://doi.org/10.1007/978-3-030-85675-5
ISBN:	9783030856755

Logic and implication = an introduction to the general algebraic study of non-classical logics /
Cintula, Petr.

Logic and implicationan introduction to the general algebraic study of non-classical logics /[electronic resource] :by Petr Cintula, Carles Noguera. - Cham :Springer International Publishing :2021. - xxii, 465 p. :ill., digital ;24 cm. - Trends in logic, studia logica library,v. 572212-7313 ;. - Trends in logic, studia logica library ;v. 57..

Chapter 1. Preliminaries -- Chapter 2. Weakly Implicative Logics -- Chapter 3. Substructural Logics -- Chapter 4. Generalized Disjunctions -- Chapter 5. Semilinear Logics -- Chapter 6. First-Order Predicate Logics.

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 book may 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 and their algebraic semantics.

ISBN: 9783030856755

Standard No.: 10.1007/978-3-030-85675-5doiSubjects--Topical Terms:

532051
Logic, Symbolic and mathematical.

LC Class. No.: QA10 / .C55 2021

Dewey Class. No.: 511.31

Logic and implication = an introduction to the general algebraic study of non-classical logics /
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505 0 $a Chapter 1. Preliminaries -- Chapter 2. Weakly Implicative Logics -- Chapter 3. Substructural Logics -- Chapter 4. Generalized Disjunctions -- Chapter 5. Semilinear Logics -- Chapter 6. First-Order Predicate Logics.
520 $a 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 book may 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 and their algebraic semantics.
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