Geodesic
On the average-case complexity of Boolean functions under binomial distribution on their domains
Diskretnaya Matematika, Tome 32 (2020) no. 3, pp. 130-134.

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Given a binomial probability distribution on the $n$-dimensional Boolean cube, the complexity of implementation of Boolean functions by straight line programs with conditional stop is considered. The order, as $n\to\infty$, of the average-case complexity of almost all $n$-place Boolean functions is established.
Keywords: Boolean functions, binomial distribution, average-case complexity. 
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A. V. Chashkin. On the average-case complexity of Boolean functions under binomial distribution on their domains. Diskretnaya Matematika, Tome 32 (2020) no. 3, pp. 130-134. http://geodesic.mathdoc.fr/item/DM_2020_32_3_a9/

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[2] Chashkin\;A. V., Diskretnaya matematika, Akademiya, M., 2012, 352 pp.

[3] Sholomov\;L. A., “O realizatsii nedoopredelennykh bulevykh funktsii skhemami iz funktsionalnykh elementov”, Problemy kibernetiki, 1969, no. 21, 215–226, Nauka, M.