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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 754–756 (Mi zvmmf4533)  
This article is cited in 1 scientific paper (total in 1 paper)

Scientific communications

Lower bound for the number of inequalities representing a monotone Boolean function of $n$ variables

Yu. A. Zuev, V. N. Trishin

Moscow
Full-text PDF (357 kB) Citations (1)
Abstract: It is shown that there is a monotonic Boolean function whose representation by a system of linear inequalities with $n$ Boolean variables requires not less than
$$\binom{n}{[n/2]}n^{-1}$$
inequalities.
Received: 24.03.1982
Revised: 24.11.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 155–156
DOI: https://doi.org/10.1016/S0041-5553(83)80118-9
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: 94C10
Language: Russian
Citation: Yu. A. Zuev, V. N. Trishin, “Lower bound for the number of inequalities representing a monotone Boolean function of $n$ variables”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 754–756; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 155–156
Citation in format AMSBIB
\Bibitem{ZueTri83}
\by Yu.~A.~Zuev, V.~N.~Trishin
\paper Lower bound for the number of inequalities representing a monotone Boolean function of $n$~variables
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 754--756
\mathnet{http://mi.mathnet.ru/zvmmf4533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706898}
\zmath{https://zbmath.org/?q=an:0524.94027}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 155--156
\crossref{https://doi.org/10.1016/S0041-5553(83)80118-9}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i3/p754
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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