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113
Voted
ECCC
2008
79views more  ECCC 2008»
15 years 22 days ago
Valiant-Vazirani Lemmata for Various Logics
We show analogues of a theorem due to Valiant and Vazirani [16] for intractable parameterized complexity classes such as W[P], W[SAT] and the classes of the W-hierarchy as well as...
Moritz Müller
ECCC
2008
90views more  ECCC 2008»
15 years 22 days ago
Some Topics in Analysis of Boolean Functions
This article accompanies a tutorial talk given at the 40th ACM STOC conference. In it,
Ryan O'Donnell
ECCC
2008
80views more  ECCC 2008»
15 years 22 days ago
Decodability of Group Homomorphisms beyond the Johnson Bound
Irit Dinur, Elena Grigorescu, Swastik Kopparty, Ma...
106
Voted
ECCC
2008
168views more  ECCC 2008»
15 years 22 days ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
ECCC
2008
117views more  ECCC 2008»
15 years 22 days ago
The complexity of learning SUBSEQ(A)
Higman essentially showed that if A is any language then SUBSEQ(A) is regular, where SUBSEQ(A) is the language of all subsequences of strings in A. Let s1, s2, s3, . . . be the sta...
Stephen A. Fenner, William I. Gasarch, Brian Posto...
82
Voted
ECCC
2008
82views more  ECCC 2008»
15 years 22 days ago
On Perfect Completeness for QMA
Whether the class QMA (Quantum Merlin Arthur) is equal to QMA1, or QMA with onesided error, has been an open problem for years. This note helps to explain why the problem is diffi...
Scott Aaronson
109
Voted
ECCC
2008
122views more  ECCC 2008»
15 years 22 days ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira