An interactive proof system is a procedure by which a computational unlimited (but untrusted) prover can convince a polynomial time veri er of the validity of some complex …
U Feige, D Lapidot, A Shamir - SIAM Journal on computing, 1999 - SIAM
In this paper we show how to construct noninteractive zero knowledge proofs for any NP statement under general (rather than number theoretic) assumptions, and how to enable …
Halpern, Moses and Tuttle presented a definition of interactive proofs using a notion they called practical knowledge, but left open the question of finding an epistemic formula that …
MH Nguyen, S Vadhan - Proceedings of the thirty-eighth annual ACM …, 2006 - dl.acm.org
We prove that every problem in NP that has a zero-knowledge proof also has a zero- knowledge proof where the prover can be implemented in probabilistic polynomial time …
R Cramer, I Damgård - Proceedings of the twenty-ninth annual ACM …, 1997 - dl.acm.org
We present a 4-move zero-knowledge proof system [21] for any NP language L, which allows showing that z EL with error probability y less than 2–k using communication …
J Kilian - Proceedings of the twenty-fourth annual ACM …, 1992 - dl.acm.org
In this note, we present new zero-knowledge interactive proofs and arguments for languages in NP. To show that x ε L, with an error probability of at most 2-k, our zero …
J Boyar, R Peralta - Advances in Cryptology—CRYPTO'89 Proceedings 9, 1990 - Springer
The fact that there axe zero-knowledge proofs for all languages in NP has, potentially, enormous implications to cryptography. For cryptographers, the issue is no longer “which …
B Barak, R Pass - Theory of Cryptography: First Theory of Cryptography …, 2004 - Springer
We investigate whether it is possible to obtain any meaningful type of zero-knowledge proofs using a one-message (ie, non-interactive) proof system. We show that, under …
Y Oren - 28th Annual Symposium on Foundations of Computer …, 1987 - ieeexplore.ieee.org
In this paper we investigate some properties of zero-knowledge proofs, a notion introduced by Goldwasser, Micali and Rackoff. We introduce and classify various definitions of zero …