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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 220, Pages 72–82
(Mi znsl4281)
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This article is cited in 1 scientific paper (total in 1 paper)
Level logics
N. K. Kossovski Saint-Petersburg State University
Abstract:
This paper is devoted to description of level logics whose logical values are rational numbers. All positive logical values are true, negative logical values are false, and zero logical values are paradoxes. Level logic using all rational numbers from the segment $[-1/2,1/2]$ is similar to the fuzzy logic of Zadeh. A sequent calculus for such logics is proposed. Convertible logical rules of inference are defined. Note that the rules of predicate calculus for nonbinary logics with inequalities were not proposed previously. It is proved that the algorithm of checking the deducibility in this calculus belongs to the class EXP-LIN-TIME. Bibliography: 9 titles.
Received: 25.02.1994
Citation:
N. K. Kossovski, “Level logics”, Studies in constructive mathematics and mathematical logic. Part IX, Zap. Nauchn. Sem. POMI, 220, POMI, St. Petersburg, 1995, 72–82; J. Math. Sci. (New York), 87:1 (1997), 3221–3227
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https://www.mathnet.ru/eng/znsl4281 https://www.mathnet.ru/eng/znsl/v220/p72
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Abstract page: | 147 | Full-text PDF : | 63 |
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