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Paper 2007/195

Verifying Statistical Zero Knowledge with Approximate Implementations

Ling Cheung, Sayan Mitra, and Olivier Pereira

Abstract

Statistical zero-knowledge (SZK) properties play an important role in designing cryptographic protocols that enforce honest behavior while maintaining privacy. This paper presents a novel approach for verifying SZK properties, using recently developed techniques based on approximate simulation relations. We formulate statistical indistinguishability as an implementation relation in the Task-PIOA framework, which allows us to express computational restrictions. The implementation relation is then proven using approximate simulation relations. This technique separates proof obligations into two categories: those requiring probabilistic reasoning, as well as those that do not. The latter is a good candidate for mechanization. We illustrate the general method by verifying the SZK property of the well-known identification protocol of Girault, Poupard and Stern.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
formal verificationstatistical zero knowledge
Contact author(s)
lcheung @ theory csail mit edu
History
2007-05-25: received
Short URL
https://ia.cr/2007/195
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2007/195,
      author = {Ling Cheung and Sayan Mitra and Olivier Pereira},
      title = {Verifying Statistical Zero Knowledge with Approximate Implementations},
      howpublished = {Cryptology ePrint Archive, Paper 2007/195},
      year = {2007},
      note = {\url{https://eprint.iacr.org/2007/195}},
      url = {https://eprint.iacr.org/2007/195}
}
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