Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2015, Issue 8, Pages 104–105
DOI: https://doi.org/10.17223/2226308X/8/39
(Mi pdma199)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Foundations of Reliability of Computing and Control Systems

Lower bounds for unreliability of circuits in the Rosser–Tourkett basis

M. A. Alekhina, S. P. Kargin

Penza State University, Penza
Full-text PDF (589 kB) Citations (1)
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Abstract: We consider the implementation of four-valued logic functions by circuits consisting of unreliable functional gates in the Rosser–Tourkett basis. It is assumed that all elements of the circuit independently with probability $p$ are subject to inverse failures on the outputs, i.e. each basic element can give each of incorrect values with the probability $p$ and correct value with the probability $1-3p$. In this paper, a class $K$ of four-valued functions is introduced in such a way that almost all four-valued functions are contained in $K$ and any circuit realizing a function from $K$ operates with an unreliability that is asymptotically (for small $p$) not less than $9p$.
Keywords: four-valued logic functions, unreliable functional gates, unreliability of circuits, inverse failures on outputs of gates.
Document Type: Article
UDC: 519.718
Language: Russian
Citation: M. A. Alekhina, S. P. Kargin, “Lower bounds for unreliability of circuits in the Rosser–Tourkett basis”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 104–105
Citation in format AMSBIB
\Bibitem{AleKar15}
\by M.~A.~Alekhina, S.~P.~Kargin
\paper Lower bounds for unreliability of circuits in the Rosser--Tourkett basis
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 104--105
\mathnet{http://mi.mathnet.ru/pdma199}
\crossref{https://doi.org/10.17223/2226308X/8/39}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Prikladnaya Diskretnaya Matematika. Supplement
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