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

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Vittorio E. Andreucci,Leon G. Fineow that a general representation theorem (which has as particular instances the representation theorems as algebras of sets for Boolean algebras, distributive lattices and semi-lattices) extends in a natural way to several classes of operators and allows to establish a relationship between algebraic
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Kihito Takahashi,Tetsuo Katoh,Kamal F. BadrA 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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Insulin Resistance in Essential HypertensionBoolean algebra, is defined. A translation from my-CTL* model checking to CTL* model checking is investigated. First, the case where the elements of quasi-Boolean algebras are totally ordered is considered. Secondly, it is shown how to design a translation algorithm for the two most commonly applied
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International Yearbook of Nephrology 1992nctions for conjunction and implication. We describe their axiomatic systems and algebraic varieties and show they can be suitably placed in a hierarchy of logics depending on their characteristic axioms. We stress that the most general variety generated by residuated structures in [0, 1], which are
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International Yearbook of Nephrology 1992 In the classical ZFC, we use a construction similar to that of a Boolean-valued universe—over an algebra of truth values of the logic we use—to show the nontriviality of FST. We give the axioms of FST. Finally we show that FST interprets ZF.
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International Yearbook of Nephrology 1992tions of these relations formalised by means of fuzzy information operators. For particular classes of fuzzy information relations the corresponding classes of fuzzy information logics are defined and briefly discussed.
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