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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 9, Pages 3–11 (Mi ivm9030)  
On bases which contain functions dependent on five variables with unreliability coefficient 1

A. V. Vasin

Chair of Discrete Mathematics, Penza State University, 40 Krasnaya str., Penza, 440026 Russia
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Abstract: We consider realization of Boolean functions by circuits composed of unreliable functional elements in some complete finite basis. We assume that all elements are subjected independently of each other to inverse failures at the output. We find a set of functions depending on five variables. We prove that unreliability coefficient of a basis which contains functions of referred set equals one.
Keywords: unreliable functional elements, circuits asymptotically optimal with respect to reliability, inverse failures on outputs of elements, synthesis of circuits composed of unreliable elements.
Received: 13.11.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 9, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X15090017
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: A. V. Vasin, “On bases which contain functions dependent on five variables with unreliability coefficient 1”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9, 3–11; Russian Math. (Iz. VUZ), 59:9 (2015), 1–8
Citation in format AMSBIB
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\by A.~V.~Vasin
\paper On bases which contain functions dependent on five variables with unreliability coefficient~1
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 9
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm9030}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 9
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X15090017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943329286}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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