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Article collection "Mathematical Problems of Cybernetics" №11, Moscow, 2002
Authors: Alekhina M.A.
Synthesis and complexity of reliable circuits from unreliable elements
Abstract:
We consider the implementation of Boolean functions by circuits from unreliable functional elements, which subject to one-type constant faults only at the outputs or only at the inputs. We offer a constructive method for constructing of the asymptotically best (asymptotically optimal) on reliability circuit, complexity of which differs from the complexity of asymptotically optimal on complexity circuits only by a multiplicative constant, which depends on the basis. We apply this method in a series of complete irreducible bases of two-input elements and obtain estimates of the unreliability and complexity of the constructed circuits.
Keywords:
unreliable functional elements, reliability of a circuit, unreliability of a circuit, constant faults of type 0 and 1 at inputs and outputs of elements
Publication language: russian, pages: 26 (p. 193-218)
Research direction:
Mathematical problems and theory of numerical methods
Russian source text: