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On another Boolean matrix
Authors:Nicholas Pippenger
Affiliation:Mathematical Sciences Department, IBM Thomas J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A.
Abstract:In his paper “On a Boolean matrix”, Nechiporuk gave an explicit example of a set of n homogeneous monotone Boolean functions of the first degree in n variables that require Ω(n3/2) two-input gates in any monotone Boolean network computing them. In this note we show how this can be extended to Ω(n5/3) two-input gates.
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