Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 2, Pages 19–28 (Mi vmumm53)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Estimates for the number of Boolean functions realized by an initial Boolean automaton with three constant states

L. N. Sysoeva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The problem of realization of Boolean functions by initial Boolean automata with constant states and $n$ inputs is considered. Initial Boolean automaton with constant states and $n$ inputs is an initial automaton with output such that in all states output functions are $n$-ary constant Boolean functions $0$ or $1$. The exact value of the maximum number of $n$-ary Boolean functions, where $n > 1$, realized by an initial Boolean automaton with three constant states and $n$ inputs is obtained.
Key words: Boolean function, initial automaton, realization of Boolean functions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00598
Received: 03.06.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 2, Pages 61–69
DOI: https://doi.org/10.3103/S0027132217020048
Bibliographic databases:
Document Type: Article
UDC: 519.716.32
Language: Russian
Citation: L. N. Sysoeva, “Estimates for the number of Boolean functions realized by an initial Boolean automaton with three constant states”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 2, 19–28; Moscow University Mathematics Bulletin, 72:2 (2017), 61–69
Citation in format AMSBIB
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