Geodesic
Mean computing time of Boolean operators by programs with restricted memory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2017), pp. 16-21 
A. V. Chashkin. Mean computing time of Boolean operators by programs with restricted memory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2017), pp. 16-21. http://geodesic.mathdoc.fr/item/VMUMM_2017_3_a2/
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     author = {A. V. Chashkin},
     title = {Mean computing time of {Boolean} operators by programs with restricted memory},
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     year = {2017},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_3_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The average time of computing the values of Boolean operators by straight-line programs with a conditional stop and storage of at most $D$ is studied. As the number $n$ of variables grows, for almost all Boolean operators with $m$ components, an asymptotically tight formula for the average computation time is obtained in a wide range of $D$ and $m$.

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

[2] Chashkin A.V., “O srednem vremeni vychisleniya znachenii bulevykh operatorov”, Diskretnyi analiz i issledovanie operatsii. Ser. 1, 5:1 (1998), 88–103 | MR | Zbl