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ECCC
2006
93views more  ECCC 2006»
14 years 10 months ago
On the Deduction Theorem and Complete Disjoint NP-Pairs
In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
Olaf Beyersdorff
ECCC
2006
87views more  ECCC 2006»
14 years 10 months ago
The Learnability of Quantum States
Traditional quantum state tomography requires a number of measurements that grows exponentially with the number of qubits n. But using ideas from computational learning theory, we...
Scott Aaronson
ECCC
2006
97views more  ECCC 2006»
14 years 10 months ago
Cryptographic Hardness Results for Learning Intersections of Halfspaces
We give the first representation-independent hardness results for PAC learning intersections of halfspaces, a central concept class in computational learning theory. Our hardness ...
Adam R. Klivans, Alexander A. Sherstov
ECCC
2006
75views more  ECCC 2006»
14 years 10 months ago
Note on MAX 2SAT
In this note we present an approximation algorithm for MAX 2SAT that given a (1 - ) satisfiable instance finds an assignment of variables satisfying a 1 - O( ) fraction of all co...
Moses Charikar, Konstantin Makarychev, Yury Makary...
ECCC
2007
77views more  ECCC 2007»
14 years 10 months ago
Selected Results in Additive Combinatorics: An Exposition
We give a self-contained exposition of selected results in additive combinatorics over the group GF(2)n = {0, 1}n. In particular, we prove the celebrated theorems known as the Bal...
Emanuele Viola