Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 51–53 (Mi vmumm4341)  

Short notes

On irreduceability of Boolean functions with respect to commutative associative operation

G. V. Safonov, G. V. Bokov, V. B. Kudryavtsev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: The paper is focused on decomposition of Boolean functions on the form $f_1\circ\ldots\circ f_m$, where $\circ$ is a commutative associative operation and $f_1,\ldots,f_m$ are Boolean functions with fewer arguments. For each commutative associative operation, we define necessary and sufficient conditions for the absence of such a decomposition and find the related complexity class.
Key words: Boolean functions, commutative associative operations, decomposition, complexity.
Received: 11.09.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 4, Pages 169–171
DOI: https://doi.org/10.3103/S0027132220040051
Bibliographic databases:
Document Type: Article
UDC: 510.52
Language: Russian
Citation: G. V. Safonov, G. V. Bokov, V. B. Kudryavtsev, “On irreduceability of Boolean functions with respect to commutative associative operation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 51–53; Moscow University Mathematics Bulletin, 75:4 (2020), 169–171
Citation in format AMSBIB
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\issue 4
\pages 51--53
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\jour Moscow University Mathematics Bulletin
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\vol 75
\issue 4
\pages 169--171
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