Abstract
We show that there are Boolean functions with linear (combinatorial) complexity for which there are reliable networks 1) having almost the same small complexity as the unreliable networks and 2) having, nethertheles, a very small error probability.
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Neumann von, J.: Probabilistic logic of reliable organism from unreliable components. In: C. E. Shannon and J. Mc Carthy (Eds.), Automata studies, Princeton University Press (1956) 43–98.
Pippenger, N.: On networks of noisy gates. 26. Symposium on Foundation on Computer science, 21. — 23.10.1985, Portland, 30–38.
Lupanov, O.B.: On a method of synthesis of networks. Izv. Vyss. Ucebn. Zaved. Radiofizika 1 (1958) 1, 120–140. (Russian)
Savage, J.E.: The complexity of computing. Wiley-Interscience, New York, 1976.
Dobrushin, R.L. and S.I. Ortyukov: On the lower bound for redundancy of self-correcting networks of unreliable functional elements. Prob. Peredaci Informacii 13 (1977) 1, 82–89. (Russ.)
Uhlig, D.: On reliable networks from unreliable gates. In: Lect. Notes in Comp. Science 269, Springer Verlag (1987).
Uhlig, D.: On reliable networks from unreliable gates with almost minimal complexity. In: Lect. Notes in Comp. Science, Springer Verlag, to appear.
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© 1989 Springer-Verlag Berlin Heidelberg
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Uhlig, D. (1989). Reliable networks for boolean functions with small complexity. In: Wolf, G., Legendi, T., Schendel, U. (eds) Parcella '88. Parcella 1988. Lecture Notes in Computer Science, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50647-0_131
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DOI: https://doi.org/10.1007/3-540-50647-0_131
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