Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 49–51 (Mi vmumm252)  

This article is cited in 13 scientific papers (total in 13 papers)

Short notes

Lower estimate of the length of the complete test in the basis $\{x|y\}$

Yu. V. Borodina

Keldysh Institute of Applied Mathematics, Moscow
References:
Abstract: It is proved that the length of the complete test is no less than $n+1$ ($n\ge 2$) for any circuit realizing the function $x_1\vee x_2\vee \ldots \vee x_n$ in the “ Sheffer stroke” basis with possible constant faults of type “1”. An example of such circuit is constructed so that the length of the complete test is exactly $n+1$.
Key words: curcuits of functional elements, constant faults, complete tests.
Received: 27.06.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 4, Pages 185–186
DOI: https://doi.org/10.3103/S0027132215040063
Bibliographic databases:
Document Type: Article
UDC: 519.718.7
Language: Russian
Citation: Yu. V. Borodina, “Lower estimate of the length of the complete test in the basis $\{x|y\}$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4, 49–51; Moscow University Mathematics Bulletin, 70:4 (2015), 185–186
Citation in format AMSBIB
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  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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