Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (300 kB) Citations (4)
References:
PDF
HTML
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
\Bibitem{Mak13}
\by Yu.~V.~Maximov
\paper Implementation of Boolean functions with a bounded number of zeros by~disjunctive normal forms
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 9
\pages 1569--1588
\mathnet{http://mi.mathnet.ru/zvmmf9922}
\crossref{https://doi.org/10.7868/S0044466913090093}
\elib{https://elibrary.ru/item.asp?id=20193354}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 9
\pages 1391--1409
\crossref{https://doi.org/10.1134/S096554251309008X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000325962000012}
\elib{https://elibrary.ru/item.asp?id=20455667}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884192308}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9922
  • https://www.mathnet.ru/eng/zvmmf/v53/i9/p1569
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:287
    Full-text PDF :107
    References:40
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024