English

An $\widetilde{O}(n)$ Queries Adaptive Tester for Unateness

Data Structures and Algorithms 2016-08-09 v1

Abstract

We present an adaptive tester for the unateness property of Boolean functions. Given a function f:{0,1}n{0,1}f:\{0,1\}^n \to \{0,1\} the tester makes O(nlog(n)/ϵ)O(n \log(n)/\epsilon) adaptive queries to the function. The tester always accepts a unate function, and rejects with probability at least 0.9 if a function is ϵ\epsilon-far from being unate.

Keywords

Cite

@article{arxiv.1608.02451,
  title  = {An $\widetilde{O}(n)$ Queries Adaptive Tester for Unateness},
  author = {Subhash Khot and Igor Shinkar},
  journal= {arXiv preprint arXiv:1608.02451},
  year   = {2016}
}