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Generalized Truth Values and Many-Valued Logics: Harmonious Many-Valued Logics
2011In this chapter, we reconsider the notion of an \(n\)-valued propositional logic. In many-valued logic, sometimes a distinction is made not only between designated and undesignated (not designated) truth values, but also between designated and antidesignated truth values.
Yaroslav Shramko, Heinrich Wansing
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1993
Abstract The book attempts an elementary exposition of the topics connected with many-valued logics. It gives an account of the constructions being "many-valued" at their origin, i.e. those obtained through intended introduction of logical values next to truth and falsity.
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Abstract The book attempts an elementary exposition of the topics connected with many-valued logics. It gives an account of the constructions being "many-valued" at their origin, i.e. those obtained through intended introduction of logical values next to truth and falsity.
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1986
Many-valued logic is a vast field with hundreds of published papers and over ten monographs devoted to it. I have attempted to keep this survey to manageable length by focussing on many-valued logic as an independent discipline. This means that such topics as the use of many-valued logics for proving the independence of axioms in propositional logic ...
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Many-valued logic is a vast field with hundreds of published papers and over ten monographs devoted to it. I have attempted to keep this survey to manageable length by focussing on many-valued logic as an independent discipline. This means that such topics as the use of many-valued logics for proving the independence of axioms in propositional logic ...
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Many valued paraconsistent logic
Proceedings 31st IEEE International Symposium on Multiple-Valued Logic, 2002In contrast to most logics, in paraconsistent logic it is not true that everything followed from a contradiction. The semantics for one of the best known paraconsistent logics, LP, permits sentences to be both true and false; but at the same time, the semantic characterization of the logical particles is classical.
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Many-valued computational logics
Journal of Philosophical Logic, 1989This paper deals with the problem of decidability of propositional logics defined by finite generalized matrices. The notions of computational logic and of computational semantics are introduced and it is shown that for finitely-valued logics, the class of computational calculi coincides with the class of logics with computational semantics.
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2001
Many-valued logic is a vast field with hundreds of published papers and numerous monographs devoted to it. I have attempted to keep this survey to manageable length by focusing on many-valued logic as an independent discipline. This means that such topics as the use of many-valued logics for proving the independence of axioms in propositional logic ...
openaire +1 more source
Many-valued logic is a vast field with hundreds of published papers and numerous monographs devoted to it. I have attempted to keep this survey to manageable length by focusing on many-valued logic as an independent discipline. This means that such topics as the use of many-valued logics for proving the independence of axioms in propositional logic ...
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Mathematical Proceedings of the Cambridge Philosophical Society, 1958
McCallum and Smith (1) have developed a logical computer which solves problems which are essentially of the following kind.
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McCallum and Smith (1) have developed a logical computer which solves problems which are essentially of the following kind.
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2001
Let me begin with a brief discussion of the name of this chapter: the adjective “advanced” in the title can only be understood in the temporal sense; the bulk of Urquhart’s chapter in this Handbook was written for the first edition in the early 1980s and, therefore, does not cover recent results in depth.
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Let me begin with a brief discussion of the name of this chapter: the adjective “advanced” in the title can only be understood in the temporal sense; the bulk of Urquhart’s chapter in this Handbook was written for the first edition in the early 1980s and, therefore, does not cover recent results in depth.
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1998
We are now ready to start our investigation of fuzzy predicate logics (or first-order logics, quantification logics). We shall develop logics broadly analogous to the classical predicate logic; in particular, we shall deal only with two quantifiers, ∀ and ∃ (universal and existential). Generalized quantifiers will be studied in later chapters.
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We are now ready to start our investigation of fuzzy predicate logics (or first-order logics, quantification logics). We shall develop logics broadly analogous to the classical predicate logic; in particular, we shall deal only with two quantifiers, ∀ and ∃ (universal and existential). Generalized quantifiers will be studied in later chapters.
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