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STOC
2004
ACM
78views Algorithms» more  STOC 2004»
14 years 5 months ago
Robust pcps of proximity, shorter pcps and applications to coding
We continue the study of the trade-off between the length of PCPs and their query complexity, establishing the following main results (which refer to proofs of satisfiability of c...
Eli Ben-Sasson, Oded Goldreich, Prahladh Harsha, M...
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 5 months ago
New direct-product testers and 2-query PCPs
The "direct product code" of a function f gives its values on all k-tuples (f(x1), . . . , f(xk)). This basic construct underlies "hardness amplification" in c...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 5 months ago
The PCP theorem by gap amplification
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
Irit Dinur