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

Authors:
Susumu Kiyoshima
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DOI: 10.1007/s00145-018-09309-5
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Abstract: We give a new proof of the existence of $$O(n^{\epsilon })$$ O ( n ϵ ) -round public-coin concurrent zero-knowledge arguments for $$\mathcal {NP}$$ NP , where $$\epsilon >0$$ ϵ > 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.
BibTeX
@article{jofc-2019-30141,
  title={Non-black-box Simulation in the Fully Concurrent Setting, Revisited},
  journal={Journal of Cryptology},
  publisher={Springer},
  volume={32},
  pages={393-434},
  doi={10.1007/s00145-018-09309-5},
  author={Susumu Kiyoshima},
  year=2019
}