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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 1, Pages 119–122
DOI: https://doi.org/10.17516/1997-1397-2016-9-1-119-122
(Mi jsfu466)
 

This article is cited in 1 scientific paper (total in 1 paper)

On decomposition of sub-definite partial Boolean functions

Ivan K. Sharankhaev

Institute of Mathematics and Computer Science, Buryat State University, Smolin, 24a, Ulan-Ude, 670000, Russia
Full-text PDF (78 kB) Citations (1)
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Abstract: In this article we study Boolean functions with two kinds of indeterminacy. We prove criterion of decomposition of this functions including separating decomposition. As a result we have method that allows to obtain representation of an arbitrary function using superposition of functions that have smaller dimentions.
Keywords: incompletely defined Boolean function, sub-definite partial Boolean function, decomposition, superposition.
Received: 02.11.2015
Received in revised form: 06.12.2015
Accepted: 15.01.2016
Bibliographic databases:
Document Type: Article
UDC: 519.716
Language: English
Citation: Ivan K. Sharankhaev, “On decomposition of sub-definite partial Boolean functions”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 119–122
Citation in format AMSBIB
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\by Ivan~K.~Sharankhaev
\paper On decomposition of sub-definite partial Boolean functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 119--122
\mathnet{http://mi.mathnet.ru/jsfu466}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-119-122}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412005500013}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Full-text PDF :62
    References:28
     
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