Abstract
In this note we prove that some familiar systems of finitely many-valued logics havefactor semantics, and establish necessary conditions for a system of many-valued logic having semantics of this kind.
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D. A. Bochvar andV.K. Finn,On many-valued logics that permits the formalization of analysis of antinomies, I. In:Researches on Mathematical Linguistics, Mathematical Logic and Information Languages, ed.D. A. Bochvar, “Nauka”, Moscow 1972, pp. 238–295 (in Russian).
V. K. Finn,Some remarks on non-Postian logics,5th International Congress for Logic, Methodology and Philosophy of Science.Contributed papers. Section 1. London, Ontario, Canada, 1975, pp. 9–10.
V. K. Finn, O. M. Anshakov, R. Sh. Grigolia, M. I. Zabezhailo,Many-valued logics as fragments of formalized semantics.Semiotics and Informatics, vol. 15, Moscow 1980, pp. 27–60 (in Russian).
S.V. Jablonski,Functional constructions in k-valued logics. In:Studies of V. A. Steclov Mathematical Institute, vol. 51, Moscow, 1958, pp. 5–142 (in Russian).
S. A. Janovskaja,Mathematical logic and foundations of mathematics, §13. In:Mathematics in the U.S.S.R. during 40 Years, Moscow 1959 (in Russian).
J. Łukasiewicz, A. Tarski,Investigations into the sentential calculus. In:Łukasiewicz J. Selected Works. Warszawa 1970.
H. Rasiowa,Post algebras as a semantic foundation of m-valued logics.Studie, in Mathematics, 1974, vol. 9, pp. 92–142.
J. B. Rosser, A. R. Turquette,Many-Valued Logics. Amsterdam, 1952.
D. Scott,Does many-valued logic have any use? — In:Philosophy of Logics Oxford 1976.
Selected Papers on Łukasiewicz Sentential Calculi. Warszawa—Wrocław, Ossolineum 1977.
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Karpenko, A.S. Factor semantics forn-valued logics. Stud Logica 42, 179–185 (1983). https://doi.org/10.1007/BF01063838
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DOI: https://doi.org/10.1007/BF01063838