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商品コード: 9781680834253

On Doubly-Efficient Interactive Proof Systems

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書名

On Doubly-Efficient Interactive Proof Systems
シリーズ名 Foundations and Trends in Theoretical Computer Science (Vol. 13, Issue 3)
著者・編者 Goldreich, O.
出版社/発行元 Now publishers
発行年/月 2018年4月   
装丁 電子ブック
ページ数/巻数

106 ページ

ISBN 978-1-68083-425-3

 


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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.

 

Contents:

 

1. Introduction
2. Simple doubly-efficient interactive proof systems
3. On the doubly-efficient interactive proof systems of GKR
4. Overview of the doubly-efficient interactive proof systems of RRR
5. Epilogue
A. Defining interactive proofs and arguments
References

 

 

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