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Proof Verification and the Hardness of Approximation Problems (1992)  (Make Corrections)  (403 citations)
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan, Mario Szegedy
IEEE Symposium on Foundations of Computer Science



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Abstract: We show that every language in NP has a probablistic verifier that checks membership proofs for it using logarithmic number of random bits and by examining a constant number of bits in the proof. If a string is in the language, then there exists a proof such that the verifier accepts with probability 1 (i.e., for every choice of its random string). For strings not in the language, the verifier rejects every provided "proof" with probability at least 1/2. Our result builds upon and improves a... (Update)

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BibTeX entry:   (Update)

Arora, Lund C., Motwani R., Sudan M., Szegedy M.: Proof verification and hardness of approximation problems. Proceedings of the 33rd IEEE Symposium on Foundations on Computer Science, 1992, 14-23. http://citeseer.ist.psu.edu/lund92proof.html   More

@inproceedings{ arora92proof,
    author = "Sanjeev Arora and Carsten Lund and Rajeev Motwani and Madhu Sudan and Mario Szegedy",
    title = "Proof Verification and Hardness of Approximation Problems",
    booktitle = "{IEEE} Symposium on Foundations of Computer Science",
    pages = "14--23",
    year = "1992",
    url = "citeseer.ist.psu.edu/lund92proof.html" }
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