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Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 1, Pages 70–79 (Mi iigum59)  
This article is cited in 1 scientific paper (total in 1 paper)

On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions

V. B. Larionova, V. S. Fedorovab

a Ates Medica Soft
b Moscow State University, Faculty of Computational Mathematics and Cybernetics, 119899, Moscow, Vorobyevy Gory
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Abstract: We consider closed classes of monotone functions in multivalued logic with respect to partially ordered sets that have a unique minimal element and two maximal elements or a unique maximal element and two minimal elements. We prove that any such class is either pre-precomplete or contained in an infinite number of closed classes, which have no predicate description.
Keywords: multivalued logic; monotone function; structure; predicate.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. B. Larionov, V. S. Fedorova, “On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions”, Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012), 70–79
Citation in format AMSBIB
\Bibitem{LarFed12}
\by V.~B.~Larionov, V.~S.~Fedorova
\paper On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2012
\vol 5
\issue 1
\pages 70--79
\mathnet{http://mi.mathnet.ru/iigum59}
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  • https://www.mathnet.ru/eng/iigum/v5/i1/p70
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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