A composition theorem for decision tree complexity

Ashley Montanaro

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arXiv · 1302.4207

A composition theorem for decision tree complexity

Ashley Montanaro

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Abstract

We completely characterise the complexity in the decision tree model of computing composite relations of the form h = g(f^1,...,f^n), where each relation f^i is boolean-valued. Immediate corollaries include a direct sum theorem for decision tree complexity and a tight characterisation of the decision tree complexity of iterated boolean functions.

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Ashley Montanaro. 2013-02-18. A composition theorem for decision tree complexity. https://arxiv.org/abs/1302.4207

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