Geodesic
On the mean time for computing the values of elementary Boolean functions
Diskretnaya Matematika, Tome 12 (2000) no. 4, pp. 109-120.

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The disjunction, conjunction, and linear function, each depending on an increasing number of arguments, are computed by straight-line programs with a conditional stop. Asymptotically exact formulas for the average-case complexity of these functions are found. It is shown that the average-case complexities of disjunction and conjunction are constants and the average-case complexity of the linear function coincides with its circuit size. The research was supported by the Russian Foundation for Basic Research, grant 99-01-01175, and the Federal Program 'Integration', grant 473. 
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A. V. Chashkin. On the mean time for computing the values of elementary Boolean functions. Diskretnaya Matematika, Tome 12 (2000) no. 4, pp. 109-120. http://geodesic.mathdoc.fr/item/DM_2000_12_4_a8/

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[2] Chashkin A. V., “O srednem vremeni vychisleniya znachenii bulevykh funktsii”, Diskretnyi analiz i issledovanie operatsii, 4:1 (1997), 60–78 | MR | Zbl

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