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Algebraic methods for interactive proof systems

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4 Author(s)
Lund, C. ; Chicago Univ., IL, USA ; Fortnow, L. ; Karloff, H. ; Nisan, N.

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

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct 1990