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BY-NC-ND 3.0 license Open Access Published by De Gruyter February 4, 2009

Polylogarithmic two-round argument systems

  • Thilo Mie

Abstract

We present a two-round argument system for NP languages with polylogarithmic communication complexity. We introduce a novel property of private information retrieval (PIR) schemes, that we call database-awareness. We construct a concrete database-aware PIR scheme and build our argument system by combining a database-aware PIR scheme with a probabilistically checkable proof system (PCP). Dwork et al. (2004) pointed out difficulties to prove the soundness of such constructions for arbitrary PIR schemes. But we show the restriction to database-aware PIR schemes is sufficient to overcome these difficulties.

Received: 2008-02-01
Revised: 2008-05-30
Published Online: 2009-02-04
Published in Print: 2008-December

© de Gruyter 2008

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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