Partial tests, universal tests and decomposability

  title={Partial tests, universal tests and decomposability},
  author={Eldar Fischer and Yonatan Goldhirsh and Oded Lachish},
For a property P and a sub-property P', we say that P is P'-partially testable with q queries} if there exists an algorithm that distinguishes, with high probability, inputs in P' from inputs ε-far from P, using q queries. Some natural properties require many queries to test, but can be partitioned into a small number of subsets for which they are partially testable with very few queries, sometimes even a number independent of the input size. For properties over {0,1}, the notion of being thus… CONTINUE READING
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