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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 2, Pages 13–22 (Mi ivm8429)  
This article is cited in 14 scientific papers (total in 14 papers)

Reliability of nonbranching programs in an arbitrary complete finite basis

M. A. Alekhina, S. M. Grabovskaya

Chair of Discrete Mathematics, Penza State University, Penza, Russia
Full-text PDF (214 kB) Citations (14)
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Abstract: We consider the realization of Boolean functions by nonbranching programs with conditional stop-operators in an arbitrary complete finite basis. We assume that conditional stop-operators are absolutely reliable, while all functional operators are prone to output inverse failures independently of each other with probability $\varepsilon$ from the interval (0,1/2). We prove that any Boolean function is realizable by a nonbranching program with unreliability $\varepsilon+81\varepsilon^2$ for all $\varepsilon\in(0,1/960]$.
Keywords: Boolean functions, nonbranching programs, conditional stop-operator, synthesis, reliability.
Received: 02.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 2, Pages 10–18
DOI: https://doi.org/10.3103/S1066369X12020028
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: M. A. Alekhina, S. M. Grabovskaya, “Reliability of nonbranching programs in an arbitrary complete finite basis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 2, 13–22; Russian Math. (Iz. VUZ), 56:2 (2012), 10–18
Citation in format AMSBIB
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\by M.~A.~Alekhina, S.~M.~Grabovskaya
\paper Reliability of nonbranching programs in an arbitrary complete finite basis
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\pages 13--22
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\transl
\jour Russian Math. (Iz. VUZ)
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\vol 56
\issue 2
\pages 10--18
\crossref{https://doi.org/10.3103/S1066369X12020028}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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