Logic and Implication

Logic and Implication

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

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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 logi...