On Finite-Valued Propositional Logical Calculi

Notre Dame Journal of Formal Logic 36 (4):606-629 (1995)
Abstract
In this paper we describe, in a purely algebraic language, truth-complete finite-valued propositional logical calculi extending the classical Boolean calculus. We also give a new proof of the Completeness Theorem for such calculi. We investigate the quasi-varieties of algebras playing an analogous role in the theory of these finite-valued logics to the role played by the variety of Boolean algebras in classical logic
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