A Note on Hardness of Testing Functions

Lu Haining

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A Note on Hardness of Testing Functions

Lu Haining * #

School of Information Security Engineering, Shanghai Jiao Tong University, Shanghai 200240

*Correspondence author

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Funding: Doctoral Fund of Ministry of Education of China （No.No. 20120073110094）

Opened online: 5 July 2016

Accepted by: none

Citation: Lu Haining.A Note on Hardness of Testing Functions[OL]. [ 5 July 2016] http://en.paper.edu.cn/en_releasepaper/content/4696165

This note presents some hardness results of testing Boolean functions in the random example model. First we present a hardness of testing under arbitrary distributions. As a consequence, we obtain that the class of intersections of halfspaces cannot be tested in arbitrary distributions. Second we present a hardness result of testing under the uniform distribution when assuming weak pseudorandom functions.

Keywords:Property Testing; Intersection of Halfspaces; Weak Pseudorandom Functions

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