Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 5, Pages 51–55 (Mi vmumm96)  
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Incomparable integrals and approximate calculation of monotone Boolean functions

A. V. Chashkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The number of incomparable $k$-dimensional intervals in the Boolean $n$-cube is estimated. The result is used to estimate the complexity of approximate computation of an arbitrary monotone Boolean function of $n$ variables.
Key words: monotone Boolean function, complexity of approximate computation, incomparable intervals.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00598
Received: 12.10.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 5, Pages 206–209
DOI: https://doi.org/10.3103/S0027132217050059
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. V. Chashkin, “Incomparable integrals and approximate calculation of monotone Boolean functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5, 51–55; Moscow University Mathematics Bulletin, 72:5 (2017), 206–209
Citation in format AMSBIB
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