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How to construct constant-round zero-knowledge proof systems for NP
Authors:Oded Goldreich  Ariel Kahan
Affiliation:(1) Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel;(2) BRM Technologies, P.O.Box 45065, Jerusalem, Israel
Abstract:Constant-round zero-knowledge proof systems for every language in 
$$\mathcal{N}\mathcal{P}$$
are presented, assuming the existence of a collection of claw-free functions. In particular, it follows that such proof systems exist assuming the intractability of either the Discrete Logarithm Problem or the Factoring Problem for Blum integers.
Keywords:Zero-knowledge proofs  NP  Claw-free functions  Commitment schemes  Coin flipping protocols  Parallel composition of proof systems
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