Paper 2006/359 Original: eprint.iacr.org/2006/359 ↗

On Probabilistic versus Deterministic Provers in the Definition of Proofs Of Knowledge

Mihir Bellare
Oded Goldreich
Abstract

This note points out a gap between two natural formulations of the concept of a proof of knowledge, and shows that in all natural cases (e.g., NP-statements) this gap can be closed. The aforementioned formulations differ by whether they refer to (all possible) probabilistic or deterministic prover strategies. Unlike in the rest of cryptography, in the current context, the obvious transformation of probabilistic strategies to deterministic strategies does not seem to suffice per se.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2006-10-23: last updated
2006-10-23: published
Short URL
https://ia.cr/2006/359
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2006/359,
      author = {Mihir Bellare and Oded Goldreich},
      title = {On Probabilistic versus Deterministic Provers in the Definition of Proofs Of Knowledge},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/359},
      year = {2006},
      url = {https://eprint.iacr.org/2006/359}
}
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