Probabilistically checkable proofs

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,...

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Bibliographic Details
Main Author: Sudan, Madhu (Contributor)
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory (Contributor), Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Association for Computing Machinery, 2010-03-04T19:32:53Z.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Sudan, Madhu  |e author 
100 1 0 |a Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science  |e contributor 
100 1 0 |a Sudan, Madhu  |e contributor 
100 1 0 |a Sudan, Madhu  |e contributor 
245 0 0 |a Probabilistically checkable proofs 
260 |b Association for Computing Machinery,   |c 2010-03-04T19:32:53Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/52308 
520 |a 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. 
520 |a National Science Foundation (Awards CCR-0726525 and CCR-0829672) 
546 |a en_US 
655 7 |a Article 
773 |t Communications of the ACM