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Probabilistically checkable proofs

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Author(s)
Sudan, Madhu
Date Issued
March 2009
Journal
Communications of the ACM
Publisher
Association for Computing Machinery
Citation
Sudan, Madhu. “Probabilistically checkable proofs.” Commun. ACM 52.3 (2009): 76-84.
Version
Author's final manuscript
Abstract
Can a proof be checked without reading it? That certainly seems impossible, no matter how much reviewers of mathematical papers may wish for this. But theoretical computer science has shown that we can get very close to this objective! Namely random consistency checks could reveal errors in proofs, provided one is careful in choosing the format in which proofs should be written. In this article we explain this notion, constructions of such probabilistically checkable proofs, and why this is important to all of combinatorial optimization.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/52308
DOI of Published Version
http://dx.doi.org/10.1145/1467247.1467267
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