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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 12, Pages 80–83 (Mi ivm9311)  

This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

Upper estimate of unreliability of schemes in full finite basis (in $P_2$) for arbitrary faults of gates

M. A. Alekhina, Yu. S. Gusynina, T. A. Shornikova

Penza State Technological University, 1a/1 Baidukov passage/Gagarin str., Penza, 440039 Russia
Full-text PDF (147 kB) Citations (8)
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Abstract: We consider the realization of Boolean functions by circuits from unreliable functional gates in full finite basis. We assume that each gate of the circuit is exposed to arbitrarily faults, and the gates faults are statistically independent. We construct the circuits for all Boolean functions and get their upper bound of the unreliability which depends on the worst (the most unreliable) of the basic gate.
Keywords: unreliable functional gates, reliability and unreliability of circuit, synthesis of circuits composed of unreliable gates.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00451_а
Received: 02.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 12, Pages 70–72
DOI: https://doi.org/10.3103/S1066369X17120088
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: M. A. Alekhina, Yu. S. Gusynina, T. A. Shornikova, “Upper estimate of unreliability of schemes in full finite basis (in $P_2$) for arbitrary faults of gates”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12, 80–83; Russian Math. (Iz. VUZ), 61:12 (2017), 70–72
Citation in format AMSBIB
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\paper Upper estimate of unreliability of schemes in full finite basis (in $P_2$) for arbitrary faults of gates
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 12
\pages 80--83
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 12
\pages 70--72
\crossref{https://doi.org/10.3103/S1066369X17120088}
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  • https://www.mathnet.ru/eng/ivm/y2017/i12/p80
  • This publication is cited in the following 8 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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    Full-text PDF :31
    References:31
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