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FOCS
1992
IEEE
13 years 9 months ago
Probabilistic Checking of Proofs; A New Characterization of NP
We 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 probabilisticall...
Sanjeev Arora, Shmuel Safra
COCO
2004
Springer
79views Algorithms» more  COCO 2004»
13 years 10 months ago
Relativized NP Search Problems and Propositional Proof Systems
An NP search problem is the problems of finding a witness to the given NP predicate, and TFNP is the class of total NP search problems. TFNP contains a number of subclasses conta...
Josh Buresh-Oppenheim, Tsuyoshi Morioka
FOCS
1992
IEEE
13 years 8 months ago
Proof Verification and Hardness of Approximation Problems
The class PCP(f(n), g(n)) consists of all languages L for which there exists a polynomial-time probabilistic oracle machine that uses O(f(n)) random bits, queries O(g(n)) bits of ...
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu...
STACS
2001
Springer
13 years 9 months ago
Small PCPs with Low Query Complexity
Most known constructions of probabilistically checkable proofs (PCPs) either blow up the proof size by a large polynomial, or have a high (though constant) query complexity. In thi...
Prahladh Harsha, Madhu Sudan
STOC
2006
ACM
115views Algorithms» more  STOC 2006»
14 years 5 months ago
Zero knowledge with efficient provers
We prove that every problem in NP that has a zero-knowledge proof also has a zero-knowledge proof where the prover can be implemented in probabilistic polynomial time given an NP ...
Minh-Huyen Nguyen, Salil P. Vadhan