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» The PCP theorem by gap amplification
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STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 4 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
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 5 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 4 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets
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...
CORR
2007
Springer
217views Education» more  CORR 2007»
13 years 4 months ago
Hard constraint satisfaction problems have hard gaps at location 1
An instance of the maximum constraint satisfaction problem (Max CSP) is a nite collection of constraints on a set of variables, and the goal is to assign values to the variables ...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen