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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, Number 1, Pages 55–59 (Mi vmumm209)  

Short notes

Complete tests relative to displacing faults of inputs of circuits

E. V. Morozov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: The paper is focused on faults of circuit inputs such that the output value of fault circuits depends only on correct inputs. It is shown that the Shannon function of the length of the detecting test for such faults is equal to $2n-\log_2{n}+O(\log_2{\log_2{n}})$ and the Shannon function of the length of the diagnostic test is asymptotically equal to $2^n$.

Key words: Boolean function, Shannon function, tests.

Funding Agency Grant Number
Russian Foundation for Basic Research 12-01-00964-а


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English version:
Moscow University Mathematics Bulletin, 2015, 70:1, 37–40

Bibliographic databases:

UDC: 519.718
Received: 12.12.2013

Citation: E. V. Morozov, “Complete tests relative to displacing faults of inputs of circuits”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 55–59; Moscow University Mathematics Bulletin, 70:1 (2015), 37–40

Citation in format AMSBIB
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