Geodesic
On bases which contain functions dependent on five variables with unreliability coefficient~1
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 3-11

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We consider realization of Boolean functions by circuits composed of unreliable functional elements in some complete finite basis. We assume that all elements are subjected independently of each other to inverse failures at the output. We find a set of functions depending on five variables. We prove that unreliability coefficient of a basis which contains functions of referred set equals one.
Keywords: unreliable functional elements, circuits asymptotically optimal with respect to reliability, inverse failures on outputs of elements, synthesis of circuits composed of unreliable elements. 
@article{IVM_2015_9_a0,
     author = {A. V. Vasin},
     title = {On bases which contain functions dependent on five variables with unreliability coefficient~1},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {9},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_9_a0/}
}
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A. V. Vasin. On bases which contain functions dependent on five variables with unreliability coefficient~1. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2015_9_a0/