Everything provable is provable in zero-knowledge

  • Authors:
  • M. Ben-Or;O. Goldreich;S. Goldwasser;J. Håstad;J. Kilian;S. Micali;P. Rogaway

  • Affiliations:
  • -;-;-;-;-;-;-

  • Venue:
  • CRYPTO '88 Proceedings on Advances in cryptology
  • Year:
  • 1990

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Abstract

Assuming the existence of a secure probabilistic encryption scheme, we show that every language that admits an interactive proof admits a (computational) zero-knowledge interactive proof. This result extends the result of Goldreich, Micali and Wigderson, that, under the same assumption, all of NP admits zero-knowledge interactive proofs. Assuming envelopes for bit commitment, we show that every language that admits an interactive proof admits a perfect zero-knowledge interactive proof.