Asymptotically optimal reliable circuits in Rosser-Turkett basis (in \(P_k\))

DOI10.1134/S1995080217010048zbMath1384.94141MaRDI QIDQ2628634

Yanyan Li

Publication date: 2 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

synthesis of circuits composed of unreliable elementsunreliable functional elements\(k\)-meaning logics functions

Mathematics Subject Classification ID

Many-valued logic (03B50) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (5)

Asymptotically optimum on unreliability circuits in the basis consisting of the Webb function in \(P_k\) under failures of \(k-1\) type at the outputs of elements ⋮ Upper bound of the circuits unreliability in a complete finite basis (in \(P_3\)) with arbitrary faults of elements ⋮ Synthesis of reliable circuits in the basis consisting of the Webb function in \(P_4\) and \(P_5\) ⋮ Synthesis of reliable circuits in the basis consisting of the Webb function in \(P_k\) ⋮ Asymptotically optimal in reliability circuits in two bases under failures of \(0\) \((k-1)\) type at the outputs of elements

Cites Work

• Sufficient conditions for realizability of Boolean functions by asymptotically optimal circuits with the unreliability \(2\varepsilon \)
• On bases with unreliability coefficient 2
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