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You searched IISERK - Author: Nolte, John.
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Call Number 160
Author Cintula, Petr. author.
Title Logic and Implication [electronic resource] : An Introduction to the General Algebraic Study of Non-classical Logics / by Petr Cintula, Carles Noguera.
Material Info. XXII, 465 p. 17 illus. online resource.
Series Trends in Logic, Studia Logica Library, 2212-7313 ; 57
Series Trends in Logic, Studia Logica Library, 2212-7313 ; 57
Summary Note 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.
Notes 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. .
ISBN 9783030856755
Subject Logic.
Subject Mathematical logic.
Subject Logic.
Subject Mathematical Logic and Foundations.
Subject Mathematical Logic and Foundations.
Added Entry Noguera, Carles. author.
Added Entry SpringerLink (Online service)
Date Year, Month, Day:02208011

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