Incomparable integrals and approximate calculation of monotone Boolean functions


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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.

About the authors

A. V. Chashkin

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: chashkin@inbox.ru
Russian Federation, Leninskie Gory, Moscow, 119991

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