Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki
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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 2, Pages 114–119 (Mi uzku752)  

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

The XV International Conference "Problems of Theoretical Cybernetics"

Special Expansions of Underdetermined Partial Boolean Functions

V. I. Panteleyev

Irkutsk State University
Full-text PDF (193 kB) Citations (2)
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Abstract: The paper views special expansion of functions determined on two-element set and taking four meanings. In particular, it is shown that there are expansions for such functions, which are analogous to known expansion of Boolean functions, i.e. disjunctive normal form and conjunctive normal form. As a sequence of received expansion, some complete and maximal sets are described.
Keywords: partial Boolean functions, hyperoperation, complete sets, composition, special representations.
Received: 25.02.2009
Document Type: Article
UDC: 519.716
Language: Russian
Citation: V. I. Panteleyev, “Special Expansions of Underdetermined Partial Boolean Functions”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 2, Kazan University, Kazan, 2009, 114–119
Citation in format AMSBIB
\Bibitem{Pan09}
\by V.~I.~Panteleyev
\paper Special Expansions of Underdetermined Partial Boolean Functions
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 2
\pages 114--119
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku752}
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  • https://www.mathnet.ru/eng/uzku752
  • https://www.mathnet.ru/eng/uzku/v151/i2/p114
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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