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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 72–77 (Mi ivm8396)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Iterated Boolean functions in the elementary basis

A. A. Voronenko, V. S. Fedorova, D. V. Chistikov

Chair of Mathematical Cybernetics, Moscow State University, Moscow, Russia
Full-text PDF (227 kB) Citations (3)
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Abstract: We establish a new criterion for a Boolean function to be read-once over the basis of conjunction, disjunction, and negation. We prove that each Boolean function is either read-once or has a set of four or six input vectors such that values of this function on these vectors show that it is iterated. We use this criterion to deduce an alternative proof of the known Stetsenko criterion.
Keywords: read-once Boolean function, criterion.
Presented by the member of Editorial Board: N. K. Zamov
Received: 25.05.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 61–65
DOI: https://doi.org/10.3103/S1066369X11110089
Bibliographic databases:
Document Type: Article
UDC: 519.716
Language: Russian
Citation: A. A. Voronenko, V. S. Fedorova, D. V. Chistikov, “Iterated Boolean functions in the elementary basis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 72–77; Russian Math. (Iz. VUZ), 55:11 (2011), 61–65
Citation in format AMSBIB
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\paper Iterated Boolean functions in the elementary basis
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 11
\pages 72--77
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 61--65
\crossref{https://doi.org/10.3103/S1066369X11110089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856237767}
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  • https://www.mathnet.ru/eng/ivm/y2011/i11/p72
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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