Computational Complexity and Knowledge Complexity

نویسندگان

  • Oded Goldreich
  • Rafail Ostrovsky
  • Erez Petrank
چکیده

We study the computational complexity of languages which have interactive proofs of logarithmic knowledge complexity. We show that all such languages can be recognized in BPPNP . Prior to this work, for languages with greater-than-zero knowledge complexity only trivial computational complexity bounds were known. In the course of our proof, we relate statistical knowledge complexity to perfect knowledge complexity; specifically, we show that, for the honest verifier, these hierarchies coincide up to a logarithmic additive term.

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عنوان ژورنال:
  • Electronic Colloquium on Computational Complexity (ECCC)

دوره 1  شماره 

صفحات  -

تاریخ انتشار 1994