@inproceedings{kalai2014how,
author = {Kalai, Yael Tauman and Raz, Ran and Rothblum, Ron D.},
title = {How to Delegate Computations: The Power of No-Signaling Proofs},
booktitle = {In Proceedings of the 46th annual ACM symposium on Theory of computing (STOC)},
year = {2014},
month = {January},
abstract = {We construct a 1-round delegation scheme (i.e., argument-system) for every language computable in time t = t(n), where the running time of the prover is poly(t) and the running time of the verifier is n · polylog(t). In particular, for every language in P we obtain a delegation scheme with almost linear time verification. Our construction relies on the existence of a computational sub-exponentially secure private information retrieval (PIR) scheme. The proof exploits a curious connection between the problem of computation delegation and the model of multi-prover interactive proofs that are sound against no-signaling (cheating) strategies, a model that was studied in the context of multi-prover interactive proofs with provers that share quantum entanglement, and is motivated by the physical principle that information cannot travel faster than light. For any language computable in time t = t(n), we construct a multi-prover interactive proof (MIP) that is sound against no-signaling strategies, where the running time of the provers is poly(t), the number of provers is polylog(t), and the running time of the verifier is n · polylog(t). In particular, this shows that the class of languages that have polynomial-time MIPs that are sound against no-signaling strategies, is exactly EXP. Previously, this class was only known to contain PSPACE. To convert our MIP into a 1-round delegation scheme, we use the method suggested by Aiello et al. (ICALP, 2000), which makes use of a PIR scheme. This method lacked a proof of security. We prove that this method is secure assuming the underlying MIP is secure against no-signaling provers.},
publisher = {ACM},
url = {http://approjects.co.za/?big=en-us/research/publication/delegate-computations-power-no-signaling-proofs/},
pages = {485-494},
edition = {In Proceedings of the 46th annual ACM symposium on Theory of computing (STOC)},
}