Geodesic
On the implementation of monotone Boolean functions by memoryless programs
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2022), pp. 25-32 
A. V. Chashkin. On the implementation of monotone Boolean functions by memoryless programs. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2022), pp. 25-32. http://geodesic.mathdoc.fr/item/VMUMM_2022_3_a5/
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     title = {On the implementation of monotone {Boolean} functions by memoryless programs},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The average-case complexity of computing monotone Boolean functions by straight line programs without memory with a conditional stop in the basis of all Boolean functions of at most two variables is considered. For the set of all monotone Boolean functions of $n$ variables, Shannon-type upper and lower bounds for the average-case complexity are established for $n\to\infty$.

[1] Lupanov O.B., “O sinteze nekotorykh klassov upravlyayuschikh sistem”, Problemy kibernetiki, 10, Nauka, M., 1963, 63–97

[2] Zabaluev R.N., “O realizatsii bulevykh funktsii programmami odnogo tipa”, Vestn. Mosk. un.-ta. Matem. Mekhan., 2005, no. 5, 9–13 | MR | Zbl

[3] Andreev A.E., “O slozhnosti monotonnykh funktsii”, Vestn. Mosk. un.-ta. Matem. Mekhan., 1985, no. 4, 83–87

[4] Zabaluev R.N., “O srednei slozhnosti monotonnykh funktsii”, Diskretn. matem., 18:2 (2006), 71–83 | MR | Zbl

[5] Chashkin A.V., “Otsenki srednei slozhnosti monotonnykh bulevykh funktsii”, Diskretn. matem., 2016, no. 2, 146–153

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

[7] Chashkin A.V., “O slozhnosti realizatsii bulevykh funktsii formulami”, Diskretn. analiz i issled. operatsii. Ser. 1, 12:2 (2005), 56–72 | MR | Zbl