Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 2, Pages 49–53 (Mi vmumm395)  
This article is cited in 3 scientific papers (total in 3 papers)

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Complexity of realization of a linear Boolean function in Sheffer's basis

Yu. A. Kombarov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (260 kB) Citations (3)
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Abstract: The paper is focused on realization of linear Boolean functions by circuits of functional elements in the basis $\left\{\overline{x \& y}\right\}$. The exact value of complexity of negation of linear function is obtained in this paper. Another result is the description of all minimal circuts realizing a linear function.
Key words: circuit of functional elements, linear Boolean function, minimal circuit, standard block.
Funding agency Grant number
Russian Foundation for Basic Research
Received: 25.04.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 2, Pages 114–117
DOI: https://doi.org/10.3103/S0027132213020083
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: Yu. A. Kombarov, “Complexity of realization of a linear Boolean function in Sheffer's basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 2, 49–53; Moscow University Mathematics Bulletin, 68:2 (2013), 114–117
Citation in format AMSBIB
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\by Yu.~A.~Kombarov
\paper Complexity of realization of a linear Boolean function in Sheffer's basis
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 2
\pages 49--53
\mathnet{http://mi.mathnet.ru/vmumm395}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 2
\pages 114--117
\crossref{https://doi.org/10.3103/S0027132213020083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878048853}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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