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Diskretnaya Matematika, 2009, Volume 21, Issue 3, Pages 37–44
DOI: https://doi.org/10.4213/dm1060 (Mi dm1060) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Positively closed classes of three-valued logic generated by one-place functions

S. S. Marchenkov
Full-text PDF (110 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1060
Abstract: We consider the positive closure operator on the set $P_3$ of functions of three-valued logic. It is shown that in $P_3$ there are exactly 51 positively closed classes positively generated by one-place functions, 26 of these classes are generated by a single one-place function (including one of the positively precomplete in $P_3$ classes), and 25 classes are generated by two functions (including the class $P_3$ and the remaining 9 positively precomplete classes).
Received: 09.10.2008
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 4, Pages 375–382
DOI: https://doi.org/10.1515/DMA.2009.026
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: S. S. Marchenkov, “Positively closed classes of three-valued logic generated by one-place functions”, Diskr. Mat., 21:3 (2009), 37–44; Discrete Math. Appl., 19:4 (2009), 375–382
Citation in format AMSBIB
\Bibitem{Mar09}
\by S.~S.~Marchenkov
\paper Positively closed classes of three-valued logic generated by one-place functions
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 3
\pages 37--44
\mathnet{http://mi.mathnet.ru/dm1060}
\crossref{https://doi.org/10.4213/dm1060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2588652}
\elib{https://elibrary.ru/item.asp?id=20730300}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 4
\pages 375--382
\crossref{https://doi.org/10.1515/DMA.2009.026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350514511}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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