Algebraic methods for interactive proof systems

  • Authors:
  • C. Lund;L. Fortnow;H. Karloff;N. Nisan

  • Affiliations:
  • Chicago Univ., IL, USA;Chicago Univ., IL, USA;Chicago Univ., IL, USA;-

  • Venue:
  • SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
  • Year:
  • 1990

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Abstract

An algebraic technique for the construction of interactive proof systems is proposed. The technique is used to prove that every language in the polynomial-time hierarchy has an interactive proof system. For the proof, a method is developed for reducing the problem of verifying the value of a low-degree polynomial at two points to verifying the value at one new point. The results have implications for program checking, verification, and self-correction.