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Logic and Implication

Name: Logic and Implication
Brand: Springer, Berlin
SKU: 42074820
Price: 123.5 EUR
Availability: InStock
Author: Petr Cintula
ISBN: 9783030856779

An Introduction to the General Algebraic Study of Non-classical Logics

Petr Cintula

Carles Noguera

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 42074820

Nakladateľstvo Springer, Berlin, november 2021

This monograph presents a general theory of weakly implicative logics, a family covering a vast numb... Celý popis

Libristo kód: 42074820

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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.