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Diskretn. Anal. Issled. Oper., 2014, Volume 21, Number 1, Pages 67–83 (Mi da761)  

This article is cited in 2 scientific papers (total in 2 papers)

Positive closed classes in the three-valued logic

S. S. Marchenkov

Lomonosov Moscow State University, Leninskie gory, 119991 Moscow, Russia

Abstract: Theoretical premises are formulated and a way is determined to construct the positive classification of the $k$-valued logic functions set. All 194 positive closed classes in the three-valued logic are found. The description is given both by means of endomorphism semigroups and by means of finding the positive bases. Tab. 13, bibliogr. 30.

Keywords: positive closure operator, three-valued logic functions.

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English version:
Journal of Applied and Industrial Mathematics, 2014, 8:2, 256–266

Bibliographic databases:

UDC: 519.716
Received: 25.03.2013

Citation: S. S. Marchenkov, “Positive closed classes in the three-valued logic”, Diskretn. Anal. Issled. Oper., 21:1 (2014), 67–83; J. Appl. Industr. Math., 8:2 (2014), 256–266

Citation in format AMSBIB
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\pages 256--266
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. V. Ryabets, “Parametricheski zamknutye klassy giperfunktsii ranga 2”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 17 (2016), 46–61  mathnet
    2. S. S. Marchenkov, “Kriterii polnoty dlya operatora zamykaniya po perechisleniyu v trekhznachnoi logike”, Diskret. matem., 30:4 (2018), 47–54  mathnet  crossref  elib
  • Дискретный анализ и исследование операций
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