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A spectral lower bound technique for the size of decision trees and two-level AND/OR circuits

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3 Author(s)
Brandman, Y. ; Dept. of Electr. Eng., Stanford Univ., CA, USA ; Orlitsky, A. ; Hennessy, J.

A universal lower-bound technique for the size and other implementation characteristics of an arbitrary Boolean function as a decision tree and as a two-level AND/OR circuit is derived. The technique is based on the power spectrum coefficients of the n dimensional Fourier transform of the function. The bounds vary from constant to exponential and are tight in many cases. Several examples are presented

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Computers, IEEE Transactions on  (Volume:39 ,  Issue: 2 )