Zero-Knowledge Sets

  title={Zero-Knowledge Sets},
  author={Silvio Micali and Michael O. Rabin and Joe Kilian},
We show how a polynomial-time prover can commit to an arbitrary finite setS of strings so that, later on, he can, for any stringx, reveal with a proof whether x 2 S or x 62 S, without revealing any knowledge beyond the verity of these membership assertions. Our method isnon interactive. Given a public random string, the prover commits to a set by simply posting a short and easily computable message. After that, each time it wants to prove whether a given element is in the set, it simply posts… CONTINUE READING
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