Zero-knowledge proofs of knowledge without interaction

  • Authors:
  • A. De Santis;G. Persiano

  • Affiliations:
  • Dipartimento di Informatica ed Applicazioni, Salerno Univ., Italy;Dipartimento di Informatica ed Applicazioni, Salerno Univ., Italy

  • Venue:
  • SFCS '92 Proceedings of the 33rd Annual Symposium on Foundations of Computer Science
  • Year:
  • 1992

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Abstract

A zero-knowledge proof system of knowledge is a protocol between two parties called the prover and the verifier. The prover wants to convince the verifier that he 'knows' the proof of a given theorem without revealing any additional information. This is different from a zero-knowledge proof system of membership where the prover convinces the verifier only of the veridicity of the statement. Zero-knowledge proofs of knowledge are very useful tools in the design of secure protocols. Though, the concept of a proof of knowledge is a very subtle one and great care is needed to obtain a satisfying formalization. The authors investigate the concept of a zero-knowledge proof of knowledge with a non-interactive model. Here, the prover and the verifier share a short random string and the only communication allowed is from the prover to the verifier. Although this is a simpler model than the interactive one, still formalizing zero-knowledge proofs of knowledge is a delicate task.