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Abstract

The notion of resettable zero-knowledge (rZK) was introduced by Canetti, Goldreich, Goldwasser and Micali (FOCS’01) as a strengthening of the classical notion of zero-knowledge. A rZK protocol remains zero-knowledge even if the verifier can reset the prover back to its initial state anytime during the protocol execution and force it to use the same random tape again and again. Following this work, various extensions of this notion were considered for the zero-knowledge and witness indistinguishability functionalities.

In this paper, we initiate the study of resettability for more general functionalities. We first consider the setting of resettable two-party computation where a party (called the user) can reset the other party (called the smartcard) anytime during the protocol execution. After being reset, the smartcard comes back to its original state and thus the user has the opportunity to start interacting with it again (knowing that the smartcard will use the same set of random coins). In this setting, we show that it is possible to secure realize all PPT computable functionalities under the most natural (simulation based) definition. Thus our results show that in cryptographic protocols, the reliance on randomness and the ability to keep state can be made significantly weaker. Our simulator for the aforementioned resettable two-party computation protocol (inherently) makes use of non-black box techniques. Second, we provide a construction of simultaneous resettable multi-party computation with an honest majority (where the adversary not only controls a minority of parties but is also allowed to reset any number of parties at any point). Interestingly, all our results are in the plain model.

Keywords

Secure Protocol Commitment Scheme Pseudorandom Function Protocol Execution Honest Party 
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.

References

  1. [Bar01]
    Barak, B.: How to go beyond the black-box simulation barrier. In: FOCS, pp. 106–115 (2001)Google Scholar
  2. [BGGL01]
    Barak, B., Goldreich, O., Goldwasser, S., Lindell, Y.: Resettably-sound zero-knowledge and its applications. In: FOCS, pp. 116–125 (2001)Google Scholar
  3. [BMR90]
    Beaver, D., Micali, S., Rogaway, P.: The round complexity of secure protocols (extended abstract). In: STOC, pp. 503–513. ACM, New York (1990)Google Scholar
  4. [Can00]
    Canetti, R.: Security and composition of multiparty cryptographic protocols. Journal of Cryptology: the journal of the International Association for Cryptologic Research 13(1), 143–202 (2000)MathSciNetCrossRefzbMATHGoogle Scholar
  5. [CF01]
    Canetti, R., Fischlin, M.: Universally composable commitments. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 19–40. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  6. [CGGM00]
    Canetti, R., Goldreich, O., Goldwasser, S., Micali, S.: Resettable zero-knowledge (extended abstract). In: STOC, pp. 235–244 (2000)Google Scholar
  7. [CGS08]
    Chandran, N., Goyal, V., Sahai, A.: New constructions for UC secure computation using tamper-proof hardware. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 545–562. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  8. [CKL06]
    Canetti, R., Kushilevitz, E., Lindell, Y.: On the limitations of universally composable two-party computation without set-up assumptions. J. Cryptology 19(2), 135–167 (2006)MathSciNetCrossRefzbMATHGoogle Scholar
  9. [DL07]
    Deng, Y., Lin, D.: Instance-dependent verifiable random functions and their application to simultaneous resettability. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 148–168. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  10. [DN00]
    Dwork, C., Naor, M.: Zaps and their applications. In: FOCS, pp. 283–293 (2000)Google Scholar
  11. [DNS98]
    Dwork, C., Naor, M., Sahai, A.: Concurrent zero-knowledge. In: STOC, pp. 409–418 (1998)Google Scholar
  12. [Dwo08]
    Dwork, C.: Differential privacy: A survey of results. In: Agrawal, M., Du, D.-Z., Duan, Z., Li, A. (eds.) TAMC 2008. LNCS, vol. 4978, pp. 1–19. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  13. [GMW87]
    Goldreich, O., Micali, S., Wigderson, A.: How to play any mental game. In: STOC 1987: Proceedings of the 19th annual ACM conference on Theory of computing, pp. 218–229. ACM Press, New York (1987)Google Scholar
  14. [GS08]
    Goyal, V., Sahai, A.: Resolving the simultaneous resettability conjecture and a new non-black-box simulation strategy. Cryptology ePrint Archive, Report 2008/545 (2008), http://eprint.iacr.org/
  15. [Kat07]
    Katz, J.: Universally composable multi-party computation using tamper-proof hardware. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 115–128. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  16. [KP01]
    Kilian, J., Petrank, E.: Concurrent and resettable zero-knowledge in poly-loalgorithm rounds. In: STOC, pp. 560–569 (2001)Google Scholar
  17. [Lin03]
    Lindell, Y.: Bounded-concurrent secure two-party computation without setup assumptions. In: STOC, pp. 683–692. ACM Press, New York (2003)Google Scholar
  18. [Lin04]
    Lindell, Y.: Lower bounds for concurrent self composition. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 203–222. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  19. [MP06]
    Micali, S., Pass, R.: Local zero knowledge. In: Kleinberg, J.M. (ed.) STOC, pp. 306–315. ACM, New York (2006)Google Scholar
  20. [PRS02]
    Prabhakaran, M., Rosen, A., Sahai, A.: Concurrent zero knowledge with logarithmic round-complexity. In: FOCS, pp. 366–375 (2002)Google Scholar
  21. [Sah99]
    Sahai, A.: Non-malleable non-interactive zero knowledge and adaptive chosen-ciphertext security. In: FOCS, pp. 543–553 (1999)Google Scholar
  22. [Sha79]
    Shamir, A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)MathSciNetCrossRefzbMATHGoogle Scholar
  23. [Yao86]
    Yao, A.C.-C.: How to generate and exchange secrets (extended abstract). In: FOCS, pp. 162–167. IEEE, Los Alamitos (1986)Google Scholar
  24. [YZ07]
    Yung, M., Zhao, Y.: Generic and practical resettable zero-knowledge in the bare public-key model. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 129–147. Springer, Heidelberg (2007)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Vipul Goyal
    • 1
  • Amit Sahai
    • 1
  1. 1.Department of Computer ScienceUCLAUSA

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