View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Dagstuhl Research Online Publication Server Trade-Offs in Distributed Interactive Proofs Pierluigi Crescenzi IRIF – CNRS and Université de Paris, France
[email protected] Pierre Fraigniaud IRIF – CNRS and Université de Paris, France
[email protected] Ami Paz IRIF – CNRS and Université de Paris, France Faculty of Computer Science, University of Vienna, Austria
[email protected] Abstract The study of interactive proofs in the context of distributed network computing is a novel topic, recently introduced by Kol, Oshman, and Saxena [PODC 2018]. In the spirit of sequential interactive proofs theory, we study the power of distributed interactive proofs. This is achieved via a series of results establishing trade-offs between various parameters impacting the power of interactive proofs, including the number of interactions, the certificate size, the communication complexity, and the form of randomness used. Our results also connect distributed interactive proofs with the established field of distributed verification. In general, our results contribute to providing structure to the landscape of distributed interactive proofs. 2012 ACM Subject Classification Theory of computation → Distributed computing models; Theory of computation → Interactive proof systems; Theory of computation → Distributed algorithms Keywords and phrases Distributed interactive proofs, Distributed verification Digital Object Identifier 10.4230/LIPIcs.DISC.2019.13 Related Version A full version of the paper is available at https://arxiv.org/abs/1908.03363. Funding Pierre Fraigniaud: Additional support from the INRIA project GANG, and from the ANR project DESCARTES. Ami Paz: Supported by the Fondation des Sciences Mathématiques de Paris.