Finite state verifiers II: zero knowledge

  • Authors:
  • Cynthia Dwork;Larry Stockmeyer

  • Affiliations:
  • -;-

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1992

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Abstract

The zero knowledge properties of interactive proof systems (IPSs) are studied in the case that the verifier is a 2-way probabilistic finite state automaton (2pfa). The following results are proved:(1) There is a language L such that L has an IPS with 2pfa verifiers but L has no zero knowledge IPS with 2pfa verifiers.(2) Consider the class of 2pfa's that are sweeping and that halt in polynomial expected time. There is a language L such that L has a zero knowledge IPS with respect to this class of verifiers, and L cannot be recognized by any verifier in the class on its own.A new definition of zero knowledge is introduced. This definition captures a concept of “zero knowledge” for IPSs that are used for language recognition.