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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016 Number 4, Pages 12–17 (Mi vmumm161)

This article is cited in 2 papers

Mathematics

Maximal number of Boolean functions realized by an initial Boolean automaton with two constant states

L. N. Sysoeva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problem of realization of Boolean functions by initial Boolean automata with two constant states and $n$ inputs is considered. Initial Boolean automaton with two 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 maximum cardinality of set of $n$-ary Boolean functions where $n > 1$ realized by an initial Boolean automaton with two constant states and $n$ inputs is obtained.

Key words: Boolean function, initial automaton, realization of Boolean functions.

UDC: 519.716.32

Received: 10.06.2015


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2016, 71:4, 140–145

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