Volume 22, No 1, 2015, P. 5-18
UDC 519.718
**A. V. Vasin**
On a wide class of bases with unreliability coefficient equal to one
*Abstract:*
On a wide class of bases with unreliability coefficient equal to one Abstract. We consider a realization of Boolean functions by circuits composed of unreliable functional elements in some complete finite basis *B*. We assume that all elements are subjected independently of each other to inverse failures on the output with probability *ε* (0, 1/2). We find a set of functions *G* and prove that the unreliability coefficient of the basis *B* which contains functions of *G* equals 1.
Ill. 3, bibliogr. 13.
*Keywords: *unreliable functional element, circuit asymptotically optimal with respect to reliability, inverse failure on outputs of elements, synthesis of circuits composed of unreliable elements.
DOI: 10.17377/daio.2015.22.435
*Alexey V. Vasin*^{1}
1. Penza State University,
40 Krasnaya St., 440026 Penza, Russia
å-mail: alvarvasin@mail.ru
Received 27 Deñember 2013
Revised 24 April 2014
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