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Diskr. Mat., 2018, Volume 30, Issue 3, Pages 99–116 (Mi dm1509)  

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

Short single tests for circuits with arbitrary stuck-at faults at outputs of gates

K. A. Popkov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: The following results are proved: 1) any nonconstant Boolean function may be implemented by an irredundant circuit of gates in the basis $\{x&y,$ $\overline x,x\oplus y\oplus z\}$ admitting a single fault detection test of length at most 2 with respect to arbitrary stuck-at faults at outputs of gates, 2) there exists a six-place Boolean function $\psi$ such that any nonconstant Boolean function may be implemented by an irredundant circuit of gates in the basis $\{\psi\}$ admitting a single diagnostic test of length at most 3 with respect to arbitrary stuck-at faults at outputs of gates.

Keywords: circuit of gates, stuck-at fault, single fault detection test, single diagnostic test.

Funding Agency Grant Number
Russian Science Foundation 14-21-00025 П


DOI: https://doi.org/10.4213/dm1509

Full text: PDF file (544 kB)
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English version:
Discrete Mathematics and Applications, 2019, 29:5, 321–333

Bibliographic databases:

UDC: 519.718.7
Received: 08.03.2018

Citation: K. A. Popkov, “Short single tests for circuits with arbitrary stuck-at faults at outputs of gates”, Diskr. Mat., 30:3 (2018), 99–116; Discrete Math. Appl., 29:5 (2019), 321–333

Citation in format AMSBIB
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\paper Short single tests for circuits with arbitrary stuck-at faults at outputs of gates
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\pages 99--116
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\jour Discrete Math. Appl.
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\pages 321--333
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  • https://doi.org/10.4213/dm1509
  • http://mi.mathnet.ru/eng/dm/v30/i3/p99

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. K. A. Popkov, “Metod postroeniya legko diagnostiruemykh skhem iz funktsionalnykh elementov otnositelno edinichnykh neispravnostei”, PDM, 2019, no. 46, 38–57  mathnet  crossref
  • Дискретная математика
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