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@inproceedings{Benjamini2005BalancedBF, title={Balanced boolean functions that can be evaluated so that every input bit is unlikely to be read}, author={Itai Benjamini and Oded Schramm and David Bruce Wilson}, booktitle={STOC}, year={2005} }

- Published 2005 in STOC
DOI:10.1145/1060590.1060627

A Boolean function of <i>n</i> bits is balanced if it takes the value 1 with probability 1⁄2. We exhibit a balanced Boolean function with a randomized evaluation procedure (with probability 0 of making a mistake) so that on uniformly random inputs, no input bit is read with probability more than Θ(<i>n</i><sup>-1/2</sup>√ log <i>n</i>). We construct a… CONTINUE READING

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