Sensitivity versus block sensitivity of Boolean functions

Madars Virza

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arXiv · 1008.0521

Sensitivity versus block sensitivity of Boolean functions

Madars Virza

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Abstract

Determining the maximal separation between sensitivity and block sensitivity of Boolean functions is of interest for computational complexity theory. We construct a sequence of Boolean functions with bs(f) = 1/2 s(f)^2 + 1/2 s(f). The best known separation previously was bs(f) = 1/2 s(f)^2 due to Rubinstein. We also report results of computer search for functions with at most 12 variables.

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Madars Virza. 2010-12-08. Sensitivity versus block sensitivity of Boolean functions. https://arxiv.org/abs/1008.0521

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