A basic lower bound for property testing

Eldar Fischer

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arXiv · 2403.04999

A basic lower bound for property testing

Eldar Fischer

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Abstract

An $\epsilon$-test for any non-trivial property (one for which there are both satisfying inputs and inputs of large distance from the property) should use a number of queries that is at least inversely proportional in $\epsilon$. However, to the best of our knowledge there is no reference proof for this intuition. Such a proof is provided here. It is written so as to not require any prior knowledge of the related literature, and in particular does not use Yao's method.

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Eldar Fischer. 2024-03-08. A basic lower bound for property testing. https://arxiv.org/abs/2403.04999

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