About basises whose unreliability coefficient equals 1 | Applied Discrete Mathematics. Supplement. 2013. № 6.

About basises whose unreliability coefficient equals 1

Circuits composed of unreliable functional elements in a complete finite basis B are considered. It is assumed that all elements are independently of each other subjected to inverse failures at the outputs with the probability e (e E (0,1/2)). In the paper, a set G of Boolean functions is found, and it is proved that if B П G = 0, then almost all Boolean functions are realized in basis B by asymptotically optimal on reliability circuits with unreliability e under e ^ 0.

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Keywords

ненадёжные функциональные элементы, асимптотически оптимальные по надёжности схемы, инверсные неисправности на выходах элементов, unreliable functional gates, circuits asymptotically optimal with respect to reliability, inverse failures on outputs of gates

Authors

NameOrganizationE-mail
Vasin A. V.Penza State Universityalvarvasin@mail.ru
Всего: 1

References

Лупанов О.П. Асимптотические оценки сложности управляющих систем. М.: Изд-во Моск. ун-та, 1984.
Васин А. В. Асимптотически оптимальные по надёжности схемы в полных базисах из трехвходовых элементов: дис.. канд. физ.-мат. наук. Пенза, 2010. 100c.
 About basises whose unreliability coefficient equals 1 | Applied Discrete Mathematics. Supplement. 2013. № 6.

About basises whose unreliability coefficient equals 1 | Applied Discrete Mathematics. Supplement. 2013. № 6.