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On Doubly-Efficient Interactive Proof Systems

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On Doubly-Efficient Interactive Proof Systems by Oded Goldreich
$195.99
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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. On Doubly-Efficient Interactive Proof Systems 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 NZ
April 19th, 2018
Pages
106
Country of Publication
United States
Imprint
now publishers Inc
Dimensions
156x234x6
ISBN-13
9781680834246
Product ID
27867828

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