Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 3, Pages 14–19 (Mi vmumm317)  
Mathematics

Complexity of realization of Boolean functions from some classes related to finite grammars by formulas of alternation depth $3$

S. A. Lozhkin, V. A. Konovodov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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Abstract: The realization complexity of Boolean functions associated with finite grammars in the class of formulae of alternation depth 3 is studied. High accuracy asymptotic bounds are obtained for the corresponding Shannon function.
Key words: Boolean formulae, complexity, alternation depth, Shannon function, high accuracy asymptotic bounds.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00964-а
Received: 13.02.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 3, Pages 100–105
DOI: https://doi.org/10.3103/S0027132214030036
Bibliographic databases:
Document Type: Article
UDC: 519.714
Language: Russian
Citation: S. A. Lozhkin, V. A. Konovodov, “Complexity of realization of Boolean functions from some classes related to finite grammars by formulas of alternation depth $3$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3, 14–19; Moscow University Mathematics Bulletin, 69:3 (2014), 100–105
Citation in format AMSBIB
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\by S.~A.~Lozhkin, V.~A.~Konovodov
\paper Complexity of realization of Boolean functions from some classes related to finite grammars by formulas of alternation depth~$3$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 3
\pages 14--19
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 3
\pages 100--105
\crossref{https://doi.org/10.3103/S0027132214030036}
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