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Probabilistic checking of proofs; a new characterization of NP

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2 Author(s)
Arora, S. ; California Univ., Berkeley, CA, USA ; Safra, S.

The authors give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilistically in polynomial time using logarithmic number of random bits and sub-logarithmic number of queries to the proof. This is a non-relativizing characterization of NP. They discuss implications of this characterization; specifically, they show that approximating clique (or independent set) is NP-hard

Published in:

Foundations of Computer Science, 1992. Proceedings., 33rd Annual Symposium on

Date of Conference:

24-27 Oct 1992

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