On interactive proofs with a laconic prover (extended abstract)

Oded Goldreich, Salil Vadhan, Avi Wigderson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Scopus citations

Abstract

We continue the investigation of interactive proofs with bounded communication, as initiated by Goldreich and Håstad (IPL 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 L̄ has a constant-round interactive proof of complexity that depends only exponentially on b. This provides the first evidence that for NPcomplete 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 L̄.

Original languageEnglish
Title of host publicationAutomata, Languages and Programming - 28th International Colloquium, ICALP 2001, Proceedings
EditorsFernando Orejas, Paul G. Spirakis, Jan van Leeuwen
PublisherSpringer Verlag
Pages334-345
Number of pages12
ISBN (Print)3540422870, 9783540422877
DOIs
StatePublished - 2001
Externally publishedYes
Event28th International Colloquium on Automata, Languages and Programming, ICALP 2001 - Crete, Greece
Duration: 8 Jul 200112 Jul 2001

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2076 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference28th International Colloquium on Automata, Languages and Programming, ICALP 2001
Country/TerritoryGreece
CityCrete
Period8/07/0112/07/01

Keywords

  • Arthur-Merlin games
  • Gme theory
  • Iteractive proofs
  • Satistical zero knowledge
  • Smpling proto-cols

Fingerprint

Dive into the research topics of 'On interactive proofs with a laconic prover (extended abstract)'. Together they form a unique fingerprint.

Cite this