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.
@InProceedings{crescenzi_et_al:LIPIcs.DISC.2019.13, author = {Crescenzi, Pierluigi and Fraigniaud, Pierre and Paz, Ami}, title = {{Trade-Offs in Distributed Interactive Proofs}}, booktitle = {33rd International Symposium on Distributed Computing (DISC 2019)}, pages = {13:1--13:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-126-9}, ISSN = {1868-8969}, year = {2019}, volume = {146}, editor = {Suomela, Jukka}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2019.13}, URN = {urn:nbn:de:0030-drops-113202}, doi = {10.4230/LIPIcs.DISC.2019.13}, annote = {Keywords: Distributed interactive proofs, Distributed verification} }
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