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On the Composition of Zero-Knowledge Proof Systems (1990)  (Make Corrections)  (111 citations)
Oded Goldreich, Hugo Krawczyk
SIAM Journal on Computing



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Abstract: : The wide applicability of zero-knowledge interactive proofs comes from the possibility of using these proofs as subroutines in cryptographic protocols. A basic question concerning this use is whether the (sequential and/or parallel) composition of zero-knowledge protocols is zero-knowledge too. We demonstrate the limitations of the composition of zeroknowledge protocols by proving that the original definition of zero-knowledge is not closed under sequential composition; and that even the... (Update)

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81:   The Knowledge Complexity of Interactive Proof Systems (context) - Goldwasser, Micali et al. - 1985
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BibTeX entry:   (Update)

O. Goldreich and H. Krawczyk, "On the composition of zero-knowledge proof systems," In Proceedings of 17th International Colloquium on Automata, Languages and Programming (ICALP), July 16--20, 1990. Coventry, U.K. http://citeseer.ist.psu.edu/goldreich90composition.html   More

@article{ goldreich96composition,
    author = "Oded Goldreich and Hugo Krawczyk",
    title = "On the composition of {Z}ero-{K}nowledge {P}roof Systems",
    journal = "{SIAM Journal on Computing}",
    volume = "25",
    number = "1",
    pages = "169--192",
    year = "1996",
    url = "citeseer.ist.psu.edu/goldreich90composition.html" }
Citations (may not include all citations):
531   The Knowledge Complexity of Interactive Proof Systems (context) - Goldwasser, Micali et al. - 1989
375   Probability Inequalities for Sums of Bounded Random Variable.. (context) - Hoeffding - 1963
278   Probabilistic Encryption (context) - Goldwasser - 1984
196   Minimum Disclosure Proofs of knowledge (context) - Brassard, Chaum et al. - 1988
194   Proofs that Yield Nothing But their Validity or All Language.. (context) - Goldreich, Micali et al. - 1991
191   New Hash Functions and Their Use in Authentication and Set E.. (context) - Wegman, Carter - 1981
185   How to Generate and Exchange Secrets (context) - Yao - 1986
173   Trading Group Theory for Randomness (context) - Babai - 1985
140   How to Play any Mental Game or A Completeness Theorem for Pr.. (context) - Goldreich, Micali et al. - 1987
98   Private Coins versus Public Coins in Interactive Proof Syste.. (context) - Goldwasser - 1989
88   Knowledge Complexity of Interactive Proofs (context) - Goldwasser, Micali et al. - 1985
70   the Power of Two-Point Based Sampling - Chor, Goldreich - 1989
69   Zero knowledge proofs of knowledge in two rounds (context) - Feige - 1989
67   Definitions and Properties of Zero-Knowledge Proof Systems - Goldreich, Oren - 1993
63   How to Construct Constant-Round ZeroKnowledge Proof Systems .. - Goldreich, Kahan - 1993
55   A Uniform-Complexity Treatment of Encryption and ZeroKnowled.. - Goldreich - 1993
51   Random Self-Reducibility and Zero-Knowledge Interactive Proo.. (context) - Tompa - 1987
41   Direct Minimum-Knowledge Computations (context) - Impagliazzo - 1987
38   Witness Indistinguishability and Witness Hiding Protocols (context) - Feige - 1990
37   a Set of Almost Deterministic k-Independent Random Variables (context) - Joffe - 1974
32   the Cunning Power of Cheating Verifiers: Some Observations A.. (context) - Oren - 1987
23   Perfect Zero Knowledge in Constant Rounds - Bellare, Micali et al. - 1990
23   Everything in NP can be argued in perfect zero-knowledge in .. - Brassard, Crepau et al. - 1989
13   True) Complexity of Statistical Zero Knowledge (context) - Bellare, Micali et al. - 1990
12   IP = PSPACE (context) - Shamir - 1990
4   University of Toronto (context) - Simon, Sc - 1989
4   Sparse Pseudorandom Distributions (context) - Goldreich, Krawczyk - 1992
4   Weizmann Institute (context) - Feige, Sc - 1987
1   Every Thing Provable is provable in ZK (context) - Ben-Or, Goldreich et al. - 1988



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