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. 
@article{DM_2000_12_4_a8,
     author = {A. V. Chashkin},
     title = {On the mean time for computing the values of elementary {Boolean} functions},
     journal = {Diskretnaya Matematika},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2000_12_4_a8/}
}
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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/