ON THREE-VALUED PRESENTATIONS OF CLASSICAL LOGIC [PDF]
AbstractGiven a three-valued definition of validity, which choice of three-valued truth tables for the connectives can ensure that the resulting logic coincides exactly with classical logic? We give an answer to this question for the five monotonic consequence relations $st$ , $ss$ , $tt$ , $ss\cap tt$ , and $ts$ , when the connectives are ...
Bruno Da Ré +3 more
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ON A NEW APPROACH TO PEIRCE’S THREE-VALUE PROPOSITIONAL LOGIC
In 1909, Peirce recorded in a few pages of his logic notebook some experiments with matrices for three-valued propositional logic. These notes are today recognized as one of the first attempts to create non-classical formal systems.
JOSÉ RENATO SALATIEL
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Intuitionistic three-valued logic and logic programming [PDF]
Summary: We study the semantics of logic programs with the help of trivalued logic, introduced by \textit{J. Y. Girard} [Three-Valued Logic and Cut- Elimination: The Actual Meaning of Takeuti's Conjecture, Diss. Math., Warszawa, 45 p. (1976; Zbl 0357.02027)]. Trivalued sequent calculus enables to extend easily the results of classical SLD-resolution to
Jacqueline Vauzeilles, A. Strauss
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A modal theorem-preserving translation of a class of three-valued logics of incomplete information [PDF]
International audienceThere are several three-valued logical systems that form a scattered landscape, even if all reasonable connectives in three-valued logics can be derived from a few of them.
Davide Ciucci, D. Dubois
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A Three-Valued Semantics for Typed Logic Programming [PDF]
Types in logic programming have focused on conservative approximations of program semantics by regular types, on one hand, and on type systems based on a prescriptive semantics defined for typed programs, on the other.
João Barbosa +2 more
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On the enumeration of maximal infinitely-generated classes of 01-functions in three-valued logic
Background. The superposition operation is the main operation in the study of multivalued logic functions. On the basis of this operation, classifications of multivalued logic functions are defined, which allow to solve important problems of ...
S.S. Marchenkov
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Foreword: Three-valued logics and their applications [PDF]
Three-valued logics belong to a family of nonclassical logics that started to flourish in the 1920s and 1930s, following the work of ᴌukasiewicz (1920) and earlier insights coming from Frege and Pe...
Pablo Cobreros +3 more
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An Extended Epistemic Framework Beyond Probability for Quantum Information Processing with Applications in Security, Artificial Intelligence, and Financial Computing [PDF]
In this work, we propose a novel quantum-informed epistemic framework that extends the classical notion of probability by integrating plausibility, credibility, and possibility as distinct yet complementary measures of uncertainty.
Gerardo Iovane
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A three-valued logic for Inductive Logic Programming [PDF]
Inductive Logic Programming (ILP) is closely related to Logic Programming (LP) by the name. We extract the basic differences of ILP and LP by comparing both and give definitions of the basic assumptions of their paradigms, e.g. closed world assumption,
Bell, Siegfried, Weber, Steffo
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Natural Deduction for Three-Valued Regular Logics [PDF]
In this paper, I consider a family of three-valued regular logics: the well-known strong and weak S.C. Kleene’s logics and two intermedi- ate logics, where one was discovered by M.
Petrukhin, Yaroslav
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