Geodesic
Bounds for the average-case complexity of monotone Boolean functions
Diskretnaya Matematika, Tome 28 (2016) no. 2, pp. 146-153.

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We consider average-case complexity of computing monotone Boolean functions by straight-line programs with a conditional stop over the basis of all Boolean functions of at most two variables. For the set of all $n$-ary monotone Boolean functions new Shannon-type upper and lower bounds for the average-case complexity as $n\to\infty$ are established.
Keywords: monotone Boolean functions, average-case complexity. 
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A. V. Chashkin. Bounds for the average-case complexity of monotone Boolean functions. Diskretnaya Matematika, Tome 28 (2016) no. 2, pp. 146-153. http://geodesic.mathdoc.fr/item/DM_2016_28_2_a13/

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