Abstract
We consider the realization of Boolean functions by the circuits of unreliable elements in a complete finite basis containing some pairs of functions. We assume that all elements of a circuit are exposed to the faults type 0 at the outputs with probability \(\varepsilon \in (0,1/2)\) independently of each other. We prove that almost any Boolean function can be implemented by an asymptotically optimal in reliability circuit functioning with the unreliability which is asymptotically equal to \(\varepsilon\) with \(\varepsilon \to 0\).
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 7, pp. 10–17.
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Alekhina, M.A., Shornikova, T.A. About the Reliability of Circuits Under Failures of Type 0 at the Outputs of Elements in a Complete Finite Basis Containing Some Pairs of Functions. Russ Math. 64, 7–12 (2020). https://doi.org/10.3103/S1066369X20070026
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DOI: https://doi.org/10.3103/S1066369X20070026