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» A note on circuit lower bounds from derandomization
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FSTTCS
2004
Springer
14 years 25 days 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 11 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
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 7 months ago
Arithmetic circuits: the chasm at depth four gets wider
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Pascal Koiran
COCO
2004
Springer
119views Algorithms» more  COCO 2004»
13 years 11 months ago
Tight Lower Bounds for Certain Parameterized NP-Hard Problems
Based on the framework of parameterized complexity theory, we derive tight lower bounds on the computational complexity for a number of well-known NP-hard problems. We start by pr...
Jianer Chen, Benny Chor, Mike Fellows, Xiuzhen Hua...
CIE
2010
Springer
14 years 8 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov