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Electronic Colloquium on Computational Complexity
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REPORTS > KEYWORD > BOOLEAN FUNCTION COMPLEXITY:
Reports tagged with boolean function complexity:
TR06-049 | 9th April 2006
Guy Wolfovitz

The Complexity of Depth-3 Circuits Computing Symmetric Boolean Functions

We give tight lower bounds for the size of depth-3 circuits with limited bottom fanin computing symmetric Boolean functions. We show that any depth-3 circuit with bottom fanin $k$ which computes the Boolean function $EXACT_{n/(k+1)}^{n}$, has at least $(1+1/k)^{n+\O(\log n)}$ gates. We show that this lower bound is tight, by ... more >>>




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