ECCC-Report TR09-089https://eccc.weizmann.ac.il/report/2009/089Comments and Revisions published for TR09-089en-usSat, 03 Oct 2009 14:10:03 +0200
Paper TR09-089
| Are PCPs Inherent in Efficient Arguments? |
Guy Rothblum,
Salil Vadhan
https://eccc.weizmann.ac.il/report/2009/089Starting with Kilian (STOC `92), several works have shown how to use probabilistically checkable proofs (PCPs) and cryptographic primitives such as collision-resistant hashing to construct very efficient argument systems (a.k.a. computationally sound proofs), for example with polylogarithmic communication complexity. Ishai et al. (CCC `07) raised the question of whether PCPs are inherent in efficient arguments, and to what extent. We give evidence that they are, by showing how to convert any argument system whose soundness is reducible to the security of some cryptographic primitive into a PCP system whose efficiency is related to that of the argument system and the reduction (under certain complexity assumptions).Sat, 03 Oct 2009 14:10:03 +0200https://eccc.weizmann.ac.il/report/2009/089