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KIAM Preprint № 271, Moscow, 2018
Authors: Popkov K. A.
On diagnostic tests of contact break for contact circuits
Abstract:
We prove that, for n≥2, one can implement each Boolean function on n variables by a two-pole contact circuit which is irredundant and allows a diagnostic test with a length not exceeding n+k(n-2) under not more than k contact breaks. We obtain that, under k=k(n) ≤2n-4, for almost all Boolean functions on n variables, the least possible length of such a test does not exceed 2k+2.
Keywords:
contact circuit, contact break, diagnostic test
Publication language: russian,  pages: 24
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Popkov Kirill Andreevich,  orcid.org/0000-0003-3763-4050KIAM RAS