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» Hardness Hypotheses, Derandomization, and Circuit Complexity
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FSTTCS
2004
Springer
13 years 10 months ago
Hardness Hypotheses, Derandomization, and Circuit Complexity
We consider hypotheses about nondeterministic computation that have been studied in different contexts and shown to have interesting consequences: • The measure hypothesis: NP d...
John M. Hitchcock, Aduri Pavan
FOCS
1999
IEEE
13 years 9 months ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
ECCC
2010
80views more  ECCC 2010»
13 years 5 months ago
Query Complexity in Errorless Hardness Amplification
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
Thomas Watson
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
13 years 6 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...
ECCC
1998
105views more  ECCC 1998»
13 years 4 months ago
Pseudorandom generators without the XOR Lemma
Impagliazzo and Wigderson IW97] have recently shown that if there exists a decision problem solvable in time 2O(n) and having circuit complexity 2 (n) (for all but nitely many n) ...
Madhu Sudan, Luca Trevisan, Salil P. Vadhan