### Abstract

Informally speaking, an instance-hiding pruoj system for the function f is a protocol in which a polynomial-time verifier is convinced of the value of f(z) but does not reveal the input z to the provers. We show here that a boolean function f has an instance-hiding proof system if and only if it is the characteristic function of a language in NEXP ∩ coNEXP. We formalize the notion of zero-knowledge for instance-hiding proof systems with several provers and show that alI such systems can be made perfect zero-knowledge.

Original language | English (US) |
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Title of host publication | Advances in Cryptology – CRYPTO 1990, Proceedings |

Editors | Alfred J. Menezes, Scott A. Vanstone |

Publisher | Springer Verlag |

Pages | 326-338 |

Number of pages | 13 |

ISBN (Print) | 9783540545088 |

DOIs | |

State | Published - 1991 |

Event | 10th Conference on the Theory and Application of Cryptography, CRYPTO 1990 - Santa Barbara, United States Duration: Aug 11 1990 → Aug 15 1990 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 537 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 10th Conference on the Theory and Application of Cryptography, CRYPTO 1990 |
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Country | United States |

City | Santa Barbara |

Period | 8/11/90 → 8/15/90 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Beaver, D., Feigenbaum, J., & Shoup, V. (1991). Hiding instances in zero-knowledge proof systems . In A. J. Menezes, & S. A. Vanstone (Eds.),

*Advances in Cryptology – CRYPTO 1990, Proceedings*(pp. 326-338). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 537 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-38424-3_24