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On another Boolean matrix

Journal Article journal-article Computer Science · Theoretical Computer Science

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(n 3/2) two-input gates in any monotone Boolean network computing them. In this note we show how this can be extended to Ω(n 5/3) two-input gates.

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Keywords

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Context

Venue
Theoretical Computer Science
Archive span
1975-2026
Indexed papers
16261
Paper id
1039603575318573188