[Resource Topic] 2015/067: Non-black-box Simulation in the Fully Concurrent Setting, Revisited

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Title:
Non-black-box Simulation in the Fully Concurrent Setting, Revisited

Authors: Susumu Kiyoshima

Abstract:

We give a new proof of the existence of O(n^{\epsilon})-round public-coin concurrent zero-knowledge arguments for NP, where \epsilon>0 is an arbitrary constant. The security is proven in the plain model under the assumption that collision-resistant hash functions exist. (The existence of such concurrent zero-knowledge arguments was previously proven by Goyal (STOC’13) in the plain model under the same assumption.) In the proof, we use a new variant of the non-black-box simulation technique of Barak (FOCS’01). An important property of our simulation technique is that the simulator runs in a “straight-line” manner in the fully concurrent setting. Compared with the simulation technique of Goyal, which also has such a property, the analysis of our simulation technique is (arguably) simpler.

ePrint: https://eprint.iacr.org/2015/067

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