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Entropy and enumeration of Boolean functions

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1 Author(s)
Pippenger, N. ; Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada

Shannon's notion of the entropy of a random variable is used to give simplified proofs of asymptotic formulas for the logarithms of the numbers of monotone Boolean functions and Horn (1951) functions, and for equivalent results concerning families of sets and closure operations

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 6 )

Date of Publication:

Sep 1999

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