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Diskretnaya Matematika, 2022, Volume 34, Issue 2, Pages 106–119
DOI: https://doi.org/10.4213/dm1609
(Mi dm1609)
 

On bases of all closed classes of Boolean vector functions

V. A. Taimanov

Moscow Aviation Institute (National Research University)
References:
Abstract: The functional system of Boolean vector functions with the naturally defined superposition operation is considered. It is shown that every closed class of this system admits a finite basis.
Keywords: Boolean vector function, superposition.
Received: 16.01.2020
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 3, Pages 189–198
DOI: https://doi.org/10.1515/dma-2023-0017
Document Type: Article
UDC: 519.716
Language: Russian
Citation: V. A. Taimanov, “On bases of all closed classes of Boolean vector functions”, Diskr. Mat., 34:2 (2022), 106–119; Discrete Math. Appl., 33:3 (2023), 189–198
Citation in format AMSBIB
\Bibitem{Tai22}
\by V.~A.~Taimanov
\paper On bases of all closed classes of Boolean vector functions
\jour Diskr. Mat.
\yr 2022
\vol 34
\issue 2
\pages 106--119
\mathnet{http://mi.mathnet.ru/dm1609}
\crossref{https://doi.org/10.4213/dm1609}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 3
\pages 189--198
\crossref{https://doi.org/10.1515/dma-2023-0017}
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  • https://doi.org/10.4213/dm1609
  • https://www.mathnet.ru/eng/dm/v34/i2/p106
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    Дискретная математика
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