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Non-Interactive Zero-Knowledge with Preprocessing

  • Alfredo De Santis
  • Siluio Micali
  • Giuseppe Persiano
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 403)

Abstract

Non-Interactive Zero-Knowledge Proof Systems have been proven to exist under a specific complexity assumption; namely, under the Quadratic Residuosity Assumption which gives rise to a specific secure probabilistic encryption scheme.

In this paper we prove that the existence of any secure probabilistic encryption scheme, actually any one-way encryption scheme, is enough for Non-Interactive Zero-Knowledge in a modified model. That is, we show that the ability to prove a randomly chosen theorem allows to subsequently prove non-interactively and in Zero-Knowledge any smaller size theorem whose proof is discovered.

Keywords

Encryption Scheme Proof System Language Versus Truth Assignment Random String 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Alfredo De Santis
    • 1
  • Siluio Micali
    • 2
  • Giuseppe Persiano
    • 3
  1. 1.IBM T. J. Watson Research CenterYorktown Heights
  2. 2.Laboratory for Computer ScienceMITCambridge
  3. 3.Aiken Comp. Lab.Harvard UniversityCambridge

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