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arXiv · 1006.4136

Competitive Boolean Function Evaluation: Beyond Monotonicity, and the Symmetric Case

Ferdinando Cicalese·Travis Gagie·Eduardo Laber·Martin Milanic
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Abstract

We study the extremal competitive ratio of Boolean function evaluation. We provide the first non-trivial lower and upper bounds for classes of Boolean functions which are not included in the class of monotone Boolean functions. For the particular case of symmetric functions our bounds are matching and we exactly characterize the best possible competitiveness achievable by a deterministic algorithm. Our upper bound is obtained by a simple polynomial time algorithm.

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Ferdinando Cicalese, Travis Gagie, Eduardo Laber, Martin Milanic. 2010-06-21. Competitive Boolean Function Evaluation: Beyond Monotonicity, and the Symmetric Case. https://doi.org/10.1016/j.dam.2010.05.016

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