Titlebook: Beyond Two: Theory and Applications of Multiple-Valued Logic; Melvin Fitting,Ewa Or?owska Book 2003 Springer-Verlag Berlin Heidelberg 2003

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International Yearbook of Nephrology 1991to an infinite family of logics defined in this way from subalgebras of the real unit interval taken as an MV-algebra. The general theory determines the algebraic counterpart of each of these logics without having to perform any computations for each particular case, and proves some interesting prop

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An Abstract Algebraic Logic View of Some Mutiple-valued Logicsprocess. The notions of logical matrix and of Leibniz congruence are among its main building blocks. Its most successful part has been developed mainly by ., . and ., and obtains a deep theory and very nice and powerful results for the so-called protoalgebraic logics. I will show how the idea (alrea

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An Algebraic Approach to Entropy and its Generalizations — A Surveyfunctions, partitions, and set collections and the axiomatizations use natural operations on such objects. The generalizations of entropy we propose have applications in circuit design, data mining, machine learning, and information retrieval.

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Classical Gentzen-type Methods in Propositional Many-valued LogicsA decent Gentzen-type system should allow for direct proofs, which means that it should admit some useful forms of cut elimination and the subformula property. In this survey we explain the main difficulty in developing classical Gentzen-type systems with these properties for many-valued logics. We

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