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Electronic Colloquium on Computational Complexity

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TR16-150 | 23rd September 2016
Lucas Boczkowski, Iordanis Kerenidis, Frederic Magniez

Streaming Communication Protocols

We define the Streaming Communication model that combines the main aspects of communication complexity and streaming. We consider two agents that want to compute some function that depends on inputs that are distributed to each agent. The inputs arrive as data streams and each agent has a bounded memory. Agents ... more >>>


TR16-149 | 23rd September 2016
Eli Ben-Sasson, iddo Ben-Tov, Ariel Gabizon, Michael Riabzev

A security analysis of Probabilistically Checkable Proofs

Comments: 1

Probabilistically Checkable Proofs (PCPs) [Babai et al. FOCS 90; Arora et al. JACM 98] can be used to construct asymptotically efficient cryptographic zero knowledge arguments of membership in any language in NEXP, with minimal communication complexity and computational effort on behalf of both prover and verifier [Babai et al. STOC ... more >>>


TR16-148 | 23rd September 2016
Thomas Watson

Communication Complexity with Small Advantage

Revisions: 1

We study problems in randomized communication complexity when the protocol is only required to attain some small advantage over purely random guessing, i.e., it produces the correct output with probability at least $\epsilon$ greater than one over the codomain size of the function. Previously, Braverman and Moitra (STOC 2013) showed ... more >>>



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