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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 65–68
DOI: https://doi.org/10.31857/S2686954320060132 (Mi danma136) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On implementation of boolean functions by contact circuits with a constant uniform width

K. A. Popkov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320060132
Abstract: We introduce the concept of the uniform width of a contact circuit. For each Boolean function, we find the minimal possible value of the uniform width of a contact circuit implementing this function. We prove constructively that this value does not exceed 3. We also establish that, for almost all Boolean functions on $n$ variables, it equals 3.
Keywords: contact circuit, Boolean function, uniform width.
Presented: B. N. Chetverushkin
Received: 01.09.2020
Revised: 01.09.2020
Accepted: 03.10.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 502–504
DOI: https://doi.org/10.1134/S1064562420060150
Bibliographic databases:
Document Type: Article
UDC: 519.714.22
Language: Russian
Citation: K. A. Popkov, “On implementation of boolean functions by contact circuits with a constant uniform width”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 65–68; Dokl. Math., 102:3 (2020), 502–504
Citation in format AMSBIB
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\by K.~A.~Popkov
\paper On implementation of boolean functions by contact circuits with a constant uniform width
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 65--68
\mathnet{http://mi.mathnet.ru/danma136}
\crossref{https://doi.org/10.31857/S2686954320060132}
\zmath{https://zbmath.org/?q=an:7424675}
\elib{https://elibrary.ru/item.asp?id=44367204}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 502--504
\crossref{https://doi.org/10.1134/S1064562420060150}
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    • This publication is cited in the following 1 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    Full-text PDF :68
    References:16
     
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