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＜電子ブック＞
Logic and Implication : An Introduction to the General Algebraic Study of Non-classical Logics / by Petr Cintula, Carles Noguera
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 57)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
本文言語	英語
大きさ	XXII, 465 p. 17 illus : online resource
著者標目	*Cintula, Petr author Noguera, Carles author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Mathematical logic FREE:Logic FREE:Mathematical Logic and Foundations FREE:Mathematical Logic and Foundations
一般注記	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 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 and their algebraic semantics HTTP:URL=https://doi.org/10.1007/978-3-030-85675-5

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