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Electronic Colloquium on Computational Complexity

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TR17-102 | 9th June 2017
Oded Goldreich

Overview of the doubly-efficient interactive proof systems of RRR

We provide an overview of the doubly-efficient interactive proof systems of Reingold, Rothblum, and Rothblum (STOC, 2016).
Recall that by their result, any set that is decidable in polynomial-time by an algorithm of space complexity $s(n)\leq n^{0.499}$, has a constant-round interactive proof system
in which the prover runs polynomial time ... more >>>


TR17-101 | 8th June 2017
Oded Goldreich

On the doubly-efficient interactive proof systems of GKR

Revisions: 1

We present a somewhat simpler variant of the doubly-efficient interactive proof systems of Goldwasser, Kalai, and Rothblum (JACM, 2015).
Recall that these proof systems apply to log-space uniform sets in NC (or, more generally, to inputs that are acceptable by log-space uniform bounded-depth circuits, where the number of rounds in ... more >>>


TR17-100 | 7th June 2017
Dakshita Khurana, Amit Sahai

How to Achieve Non-Malleability in One or Two Rounds

Despite over 25 years of research on non-malleable commitments in the plain model, their round complexity has remained open. The goal of achieving non-malleable commitment protocols with only one or two rounds has been especially elusive. Pass (TCC 2013, CC 2016) captured this difficulty by proving important impossibility results regarding ... more >>>



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