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Zero-Knowledge Multi-Prover Interactive Proofs

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Zero-Knowledge Multi-Prover Interactive Proofs

Yang, Nan (2013) Zero-Knowledge Multi-Prover Interactive Proofs. Masters thesis, Concordia University.

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Abstract

Single-prover interactive proofs can recognize PSPACE; if certain complexity assumptions are made, they can do so in zero-knowledge. Generalizing to multiple non-communicating provers extends this class to NEXP, and at the same time removes the complexity assumption needed for zero-knowledge.

However, it was recently discovered that the non-communication condition might be insufficient to guarantee soundness. The provers can form joint randomness through non-local computation without communicating. This could break protocols that rely on the statistical independence of the provers.

In this work, we analyze multi-prover interactive proofs under the constraint of statistical isolation which prohibits non-local computation. We show that there exists perfect zero-knowledge proofs for NEXP under statistical isolation.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Computer Science and Software Engineering
Item Type:Thesis (Masters)
Authors:Yang, Nan
Institution:Concordia University
Degree Name:M. Comp. Sc.
Program:Computer Science
Date:April 2013
Thesis Supervisor(s):Crepeau, Claude and Ford, David
ID Code:977228
Deposited By: NAN YANG
Deposited On:19 Jun 2013 16:38
Last Modified:18 Jan 2018 17:44
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