Interactive proofs of proximity: Delegating computation in sublinear time The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters Citation Rothblum, Guy N., Salil Vadhan, and Avi Wigderson. 2013. “Interactive Proofs of Proximity: Delegating Computation in Sublinear Time.” Proceedings of the 45th Annual ACM Symposium on Symposium on Theory of Computing (STOC'13), Palo Alto, CA, June 01-04, 2013, ed. Dan Boneh, Tim Roughgarden, Joan Feigenbaum, 793-802. New York, NY: ACM Press. Published Version doi:10.1145/2488608.2488709 Citable link http://nrs.harvard.edu/urn-3:HUL.InstRepos:12561354 Terms of Use This article was downloaded from Harvard University’s DASH repository, and is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http:// nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of- use#OAP Interactive Proofs of Proximity: Delegating Computation in Sublinear Time ∗ y Guy N. Rothblum Salil Vadhan Avi Wigderson Microsoft Research Harvard University Institute for Advanced Study
[email protected] [email protected] [email protected] ABSTRACT • Finally, we construct much better IPPs for specific We study interactive proofs with sublinear-time verifiers. functions, such as bipartiteness on random or well- These proof systems can be used to ensure approximate cor- mixing graphs, and the majority function. The query rectness for the results of computations delegated to an un- complexities of these protocols are provably better (by trusted server. Following the literature on property testing, exponential or polynomial factors) than what is possi- we seek proof systems where with high probability the ver- ble in the standard property testing model, i.e.