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Keldysh Institute preprints, 2018, 197, 24 pages (Mi ipmp2556)  

Short complete fault detection tests for logic networks with fan-in two

K. A. Popkov


Abstract: It is established that one can implement almost any Boolean function on $n$ variables by a logic network in the basis $\{x& y, x\vee y,x\oplus y, 1\}$, allowing a complete fault detection test with length not exceeding $4$ under arbitrary stuck-at faults at outputs of gates. The following assertions are also proved: one can implement any Boolean function on $n$ variables by a logic network in the basis $\{x& y, x\vee y,x\oplus y, 1\}$ (in the basis $\{x& y, x\vee y, x\vee\overline y, x\oplus y\}$), containing not more than one dummy variable and allowing a complete fault detection test with length not exceeding $5$ (not exceeding $4$, respectively) under faults of the same type.

Keywords: logic network, arbitrary stuck-at fault, complete fault detection test.

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


DOI: https://doi.org/10.20948/prepr-2018-197

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Document Type: Preprint

Citation: K. A. Popkov, “Short complete fault detection tests for logic networks with fan-in two”, Keldysh Institute preprints, 2018, 197, 24 pp.

Citation in format AMSBIB
\Bibitem{Pop18}
\by K.~A.~Popkov
\paper Short complete fault detection tests for logic networks with fan-in two
\jour Keldysh Institute preprints
\yr 2018
\papernumber 197
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2556}
\crossref{https://doi.org/10.20948/prepr-2018-197}


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