Abstract

This paper shows that using direct properties of a zero-knowledge protocol itself, one may impose a honest behavior on the verifier (without additional cryptographic tools). The main technical contribution is showing that if a language L has an Arthur-Merlin (i.e. public coins) honest-verifier statistical SZK proof system then L has an (any-verifier) SZK proof system when we use a non-uniform simulation model of SZK (where the simulation view and protocol view can be made statistically closer than any given polynomial given as a parameter). Three basic questions regarding statistical zero-knowledge (SZK) are solved in this model: If L has a honest-verifier SZK proof then L has an any-verifier nonuniform simulation SZK proof. If L has an SZK proof then L has an non-uniform simulation SZK proof. If L has a private-coin SZK proof then L has a public-coin nonuniform simulation SZK proof. KeywordsProof SystemRandom StringCommitment SchemeCommon InputCheat BehaviorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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