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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 220, Pages 72–82 (Mi znsl4281)  
This article is cited in 1 scientific paper (total in 1 paper)

Level logics

N. K. Kossovski

Saint-Petersburg State University
Full-text PDF (543 kB) Citations (1)
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
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 1, Pages 3221–3227
DOI: https://doi.org/10.1007/BF02358995
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Kos95}
\by N.~K.~Kossovski
\paper Level logics
\inbook Studies in constructive mathematics and mathematical logic. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 220
\pages 72--82
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374096}
\zmath{https://zbmath.org/?q=an:0934.03032}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 1
\pages 3221--3227
\crossref{https://doi.org/10.1007/BF02358995}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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