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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1569–1588
DOI: https://doi.org/10.7868/S0044466913090093 (Mi zvmmf9922) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Implementation of Boolean functions with a bounded number of zeros by disjunctive normal forms

Yu. V. Maximovab

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b National Research University “Higher School of Economics”, Pokrovskii bulv. 11, Moscow, 109028, Russia
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DOI: https://doi.org/10.7868/S0044466913090093
Abstract: The problem of constructing simple disjunctive normal forms (DNFs) of Boolean functions with a small number of zeros is considered. The problem is of interest in the complexity analysis of Boolean functions and in its applications to data analysis. The method used is a further development of the reduction approach to the construction of DNFs of Boolean functions. A key idea of the reduction method is that a Boolean function is represented as a disjunction of Boolean functions with fewer zeros. In a number of practically important cases, this technique makes it possible to considerably reduce the complexity of DNF implementations of Boolean functions.
Key words: Boolean function, disjunctive normal form, complexity of Boolean function, probably approximately correct learning, algebraic classification methods.
Received: 16.02.2012
Revised: 31.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1391–1409
DOI: https://doi.org/10.1134/S096554251309008X
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: Yu. V. Maximov, “Implementation of Boolean functions with a bounded number of zeros by disjunctive normal forms”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1569–1588; Comput. Math. Math. Phys., 53:9 (2013), 1391–1409
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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