Unreliability of circuits in the basis by Rosser--Turkett
Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 109-110
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The implementation of ternary logic functions by circuits of unreliable functional gates in the basis by Rosser–Turkett is described. It is assumed that, independently of each other, any basic gate, for any input bitstring, gives the correct value with the probability $1-2\varepsilon$ and can give any of two incorrect values with the probability $\varepsilon$. Some upper and lower bounds for the circuit reliability are obtained. It is shown, that for a certain class of functions, the bounds are found be asymptotically equal.
Keywords:
ternary logic functions, circuit of unreliable functional gates, unreliability circuit.
@article{PDMA_2014_7_a46,
author = {M. A. Alekhina and O. U. Barsukova},
title = {Unreliability of circuits in the basis by {Rosser--Turkett}},
journal = {Prikladnaya Diskretnaya Matematika. Supplement},
pages = {109--110},
publisher = {mathdoc},
number = {7},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDMA_2014_7_a46/}
}
TY - JOUR AU - M. A. Alekhina AU - O. U. Barsukova TI - Unreliability of circuits in the basis by Rosser--Turkett JO - Prikladnaya Diskretnaya Matematika. Supplement PY - 2014 SP - 109 EP - 110 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PDMA_2014_7_a46/ LA - ru ID - PDMA_2014_7_a46 ER -
M. A. Alekhina; O. U. Barsukova. Unreliability of circuits in the basis by Rosser--Turkett. Prikladnaya Diskretnaya Matematika. Supplement, no. 7 (2014), pp. 109-110. http://geodesic.mathdoc.fr/item/PDMA_2014_7_a46/