On Doubly-Efficient Interactive Proof Systems

By:

Oded Goldreich

Format:

Paperback / softback

Series:

Foundations and Trends(R) in Theoretical Computer Science

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Description

An interactive proof system is called doubly-efficient if the prescribed prover strategy can be implemented in polynomial-time and the verifier’s strategy can be implemented in almost-linear time. Such proof systems make the benefits of interactive proof system available to real-life agents who are restricted to polynomial-time computation. This book surveys some of the known results regarding doubly-efficient interactive proof systems. It starts by presenting two simple constructions for t-no-CLIQUE, where the first construction offers the benefit of being generalized to any “locally characterizable” set, and the second construction offers the benefit of preserving the combinatorial flavor of the problem. It then turns to two more general constructions of doubly-efficient interactive proof system: the proof system for sets having (uniform) bounded-depth circuits and the proof system for sets that are recognized in polynomial-time and small space. The presentation of the GKR construction is complete and is somewhat different from the original presentation. A brief overview is provided for the RRR construction.

Release date Australia

April 19th, 2018

Author

Oded Goldreich

Series

Foundations and Trends(R) in Theoretical Computer Science

Pages

106

Audience

Professional & Vocational

Dimensions

156x234x6

ISBN-13

9781680834246

Product ID

27867828

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