We study the query complexity of testing monomials (resp., affine and linear subspaces) with one-sided error. Actually, we consider three versions of each of these properties, and obtain the following results regarding the query complexity of testing them with one-sided error. The running time of the testers in the positive results is linear in their query complexity.

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One-Sided Error Testing of Monomials and Affine Subspaces

  • Oded Goldreich,
  • Dana Ron

摘要

We study the query complexity of testing monomials (resp., affine and linear subspaces) with one-sided error. Actually, we consider three versions of each of these properties, and obtain the following results regarding the query complexity of testing them with one-sided error. The running time of the testers in the positive results is linear in their query complexity.