On reliability of circuits over the bases $\{\sim,\,\oplus\}$, $\{\sim,\,0\}$, $\{\oplus,\,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements
Diskretnaya Matematika, Tome 21 (2009) no. 2, pp. 102-111
Voir la notice de l'article provenant de la source Math-Net.Ru
In the case of faults of type 0 at the outputs of elements, it is proved that in the bases $\{\sim,\,\oplus\}$, $\{\sim,\,0\}$, $\{\oplus,\,1\}$, $\{\oplus,\vee,1\}$ almost all Boolean functions can be realised by asymptotically best (optimal) with respect to the reliability circuits functioning with unreliability $P(S)\sim\gamma$ as $\gamma\to0$, where $\gamma$ is the probability of the faulty state of an element.
@article{DM_2009_21_2_a6,
author = {M. A. Alekhina},
title = {On reliability of circuits over the bases $\{\sim,\&,\oplus\}$, $\{\sim,\&,0\}$, $\{\oplus,\&,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements},
journal = {Diskretnaya Matematika},
pages = {102--111},
publisher = {mathdoc},
volume = {21},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2009_21_2_a6/}
}
TY - JOUR
AU - M. A. Alekhina
TI - On reliability of circuits over the bases $\{\sim,\&,\oplus\}$, $\{\sim,\&,0\}$, $\{\oplus,\&,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements
JO - Diskretnaya Matematika
PY - 2009
SP - 102
EP - 111
VL - 21
IS - 2
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/DM_2009_21_2_a6/
LA - ru
ID - DM_2009_21_2_a6
ER -
%0 Journal Article
%A M. A. Alekhina
%T On reliability of circuits over the bases $\{\sim,\&,\oplus\}$, $\{\sim,\&,0\}$, $\{\oplus,\&,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements
%J Diskretnaya Matematika
%D 2009
%P 102-111
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2009_21_2_a6/
%G ru
%F DM_2009_21_2_a6
M. A. Alekhina. On reliability of circuits over the bases $\{\sim,\&,\oplus\}$, $\{\sim,\&,0\}$, $\{\oplus,\&,1\}$, $\{\oplus,\vee,1\}$ in the case of faults of type~0 at the outputs of elements. Diskretnaya Matematika, Tome 21 (2009) no. 2, pp. 102-111. http://geodesic.mathdoc.fr/item/DM_2009_21_2_a6/