On Interactive Proofs with a Laconic Prover
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CitationGoldreich, Oded, Salil Vadhan, and Avi Wigderson. 2002. On interactive proofs with a laconic prover. Computational Complexity 11:1-53.
AbstractWe continue the investigation of interactive proofs with bounded communication, as initiated by Goldreich & Håstad (1998). Let L be a language that has an interactive proof in which the prover sends few (say b) bits to the verifier. We prove that the complement $\bar L$ has a constant-round interactive proof of complexity that depends only exponentially on b. This provides the first evidence that for NP-complete languages, we cannot expect interactive provers to be much more "laconic" than the standard NP proof. When the proof system is further restricted (e.g., when b = 1, or when we have perfect completeness), we get significantly better upper bounds on the complexity of $\bar L$.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:3202520
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