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Logic and Implication = An Introduction to the General Algebraic Study of Non-classical Logics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Logic and Implication/ by Petr Cintula, Carles Noguera.
其他題名:	An Introduction to the General Algebraic Study of Non-classical Logics /
作者:	Cintula, Petr.
其他作者:	Noguera, Carles.
面頁冊數:	XXII, 465 p. 17 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Logic and Formal Languages. -
電子資源:	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. - 1st ed. 2021. - XXII, 465 p. 17 illus.online resource. - Trends in Logic, Studia Logica Library,572212-7313 ;. - Trends in Logic, Studia Logica Library,42.

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:

670059
Mathematical Logic and Formal Languages.

LC Class. No.: BC1-199

Dewey Class. No.: 160

Logic and Implication = An Introduction to the General Algebraic Study of Non-classical Logics /
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