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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 7, Pages 3–9 (Mi ivm9128)  
This article is cited in 5 scientific papers (total in 5 papers)

On reliability of circuits in a basis “anticonjunction” with constant faults at the input gates

M. A. Alekhinaa, V. V. Kuryshevab

a Penza State Technological University, 1a/11 Baidukov passage, Garagin str., Penza, 440039 Russia
b Penza State University, 40 Krasnaya str., Penza, 440026 Russia
Full-text PDF (190 kB) Citations (5)
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Abstract: We consider the realization of Boolean functions by circuits from unreliable functional gates in the basis which contains anticonjunction, only. We assume that each gate of the circuit is exposed to the faults of type 0 at the inputs or the faults of type 1 at the inputs. We construct the circuits for all Boolean functions and get their upper bound of unreliability which depends only on the probabilities of appearance of the fault of type 0 and of the fault of type 1 at the inputs. We prove that the found upper bound of the unreliability is asymptotically (for small values of probability) exact for almost all Boolean functions.
Keywords: unreliable functional gate, circuit asymptotically optimal with respect to reliability, constant fault at the inputs of gates, synthesis of circuits composed of unreliable gates.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00273
Received: 23.11.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 7, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X1607001X
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: M. A. Alekhina, V. V. Kurysheva, “On reliability of circuits in a basis “anticonjunction” with constant faults at the input gates”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 7, 3–9; Russian Math. (Iz. VUZ), 60:7 (2016), 1–6
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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