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Paper: Resettable Zero-Knowledge

Authors:
Ran Canetti
Oded Goldreich
Shafi Goldwasser
Silvio Micali
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URL: http://eprint.iacr.org/1999/022
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Abstract: We introduce the notion of Resettable Zero-Knowledge (rZK), a new security measure for cryptographic protocols which strengthens the classical notion of zero-knowledge. In essence, an rZK protocol is one that remains zero knowledge even if an adeversary can interact with the prover many times, each time resetting the prover to its initial state and forcing him to use the same random tape. Under general complexity asumptions, which hold for example if the Discrete Logarithm Problem is hard, we construct (1) rZK proof-systems for NP: (2) constant-round resettable witness-indistinguishable proof-systems for NP; and (3) constant-round rZK arguments for NP in the public key model where verifiers have fixed, public keys associated with them. In addition to shedding new light on what makes zero knowledge possible (by constructing ZK protocols that use randomness in a dramatically weaker way than before), rZK has great relevance to applications. Firstly, we show that rZK protocols are closed under parallel and concurrent execution and thus are guaranteed to be secure when implemented in fully asynchronous networks, even if an adversary schedules the arrival of every message sent. Secondly, rZK protocols enlarge the range of physical ways in which provers of a ZK protocols can be securely implemented, including devices which cannot reliably toss coins on line, nor keep state betweeen invocations. (For instance, because ordinary smart cards with secure hardware are resattable, they could not be used to implement securely the provers of classical ZK protocols, but can now be used to implement securely the provers of rZK protocols.)
BibTeX
@misc{eprint-1999-11342,
  title={Resettable Zero-Knowledge},
  booktitle={IACR Eprint archive},
  keywords={Zero-Knowledge, Concurrent Zero-Knowledge, Public-Key Cryptography, Witness-Indistinguishable Proofs, Smart Cards, Identification Schemes, Commitment Schemes, Discrete Logarithm Problem.},
  url={http://eprint.iacr.org/1999/022},
  note={Appeared in the THEORY OF CRYPTOGRAPHY LIBRARY and has been included in the ePrint Archive. oded@wisdom.weizmann.ac.il 10500 received October 25th, 1999. Supercedes Theory of Cryptography Library Record 99-15. Revised, June 22nd, 2000.},
  author={Ran Canetti and Oded Goldreich and Shafi Goldwasser and Silvio Micali},
  year=1999
}