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Diskretnaya Matematika, 2010, Volume 22, Issue 4, Pages 43–54
DOI: https://doi.org/10.4213/dm1118
(Mi dm1118)
 

Circuits for disjunction admitting short unitary diagnostic tests

S. R. Bedzhanova
References:
Abstract: We study tests for circuits realising disjunction. In a circuit, the inversion fault is allowed at the output of precisely one functional element. For any functionally complete basis $B$ it is found that for any $n\ge3$ the disjunction of $n$ variables can be realised by a circuit over $B$ which admits a unitary diagnostic test consisting of at most two tuples. It is proved that this result cannot be improved in the general case.
Received: 15.04.2010
English version:
Discrete Mathematics and Applications, 2010, Volume 20, Issue 5-6, Pages 643–654
DOI: https://doi.org/10.1515/DMA.2010.039
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: S. R. Bedzhanova, “Circuits for disjunction admitting short unitary diagnostic tests”, Diskr. Mat., 22:4 (2010), 43–54; Discrete Math. Appl., 20:5-6 (2010), 643–654
Citation in format AMSBIB
\Bibitem{Bed10}
\by S.~R.~Bedzhanova
\paper Circuits for disjunction admitting short unitary diagnostic tests
\jour Diskr. Mat.
\yr 2010
\vol 22
\issue 4
\pages 43--54
\mathnet{http://mi.mathnet.ru/dm1118}
\crossref{https://doi.org/10.4213/dm1118}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2796788}
\elib{https://elibrary.ru/item.asp?id=20730359}
\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 5-6
\pages 643--654
\crossref{https://doi.org/10.1515/DMA.2010.039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952223406}
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  • https://www.mathnet.ru/eng/dm/v22/i4/p43
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