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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 2(68), Pages 60–79 (Mi vsgu223)  
This article is cited in 12 scientific papers (total in 12 papers)

Mathematics

The criteria of completeness for redefining boolean function

V. I. Panteleev

Institute of Mathematics, Economics and Informatics of Irkutsk State University, Irkutsk, 664003, Russia
Full-text PDF (360 kB) Citations (12)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: Boolean functions, determined not to all sets are considered in this work. At the same time vagueness is appreciated as decision-making in the model with three possible answers: “for”, “against” and “indifferently or not determined” and decision “for” is taken in the situation “absence of against”. Appropriate definition of superposition, closed classes is introduced and the criteria of completeness is proved.
Keywords: boolean functions, partial boolean functions, closed classes, maximal classes, clone, hyperclone.
Received: 12.02.2009
Revised: 12.02.2009
Document Type: Article
UDC: 519.716
Language: Russian
Citation: V. I. Panteleev, “The criteria of completeness for redefining boolean function”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 60–79
Citation in format AMSBIB
\Bibitem{Pan09}
\by V.~I.~Panteleev
\paper The criteria of completeness for redefining boolean function
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 2(68)
\pages 60--79
\mathnet{http://mi.mathnet.ru/vsgu223}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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