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Diskretnaya Matematika, 2021, Volume 33, Issue 4, Pages 94–109
DOI: https://doi.org/10.4213/dm1652
(Mi dm1652)
 

On implementation of Boolean functions by contact circuits of minimal uniform width

K. A. Popkov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
References:
Abstract: For each Boolean function, we find a minimal possible value of the uniform width of a contact circuit implementing this function. We also show that, for almost all $n$-place Boolean functions, this value is equal to $3$.
Keywords: contact circuit, Boolean function, uniform width of a circuit.
Received: 24.04.2021
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 6, Pages 403–415
DOI: https://doi.org/10.1515/dma-2022-0035
Document Type: Article
UDC: 519.714.5
Language: Russian
Citation: K. A. Popkov, “On implementation of Boolean functions by contact circuits of minimal uniform width”, Diskr. Mat., 33:4 (2021), 94–109; Discrete Math. Appl., 32:6 (2022), 403–415
Citation in format AMSBIB
\Bibitem{Pop21}
\by K.~A.~Popkov
\paper On implementation of Boolean functions by contact circuits of minimal uniform width
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 4
\pages 94--109
\mathnet{http://mi.mathnet.ru/dm1652}
\crossref{https://doi.org/10.4213/dm1652}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 6
\pages 403--415
\crossref{https://doi.org/10.1515/dma-2022-0035}
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  • https://doi.org/10.4213/dm1652
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