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» The Arithmetical Complexity of Dimension and Randomness
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CSL
2003
Springer
13 years 10 months ago
The Arithmetical Complexity of Dimension and Randomness
Constructive dimension and constructive strong dimension are effectivizations of the Hausdorff and packing dimensions, respectively. Each infinite binary sequence A is assigned...
John M. Hitchcock, Jack H. Lutz, Sebastiaan Terwij...
CC
2008
Springer
118views System Software» more  CC 2008»
13 years 4 months ago
Dimension Characterizations of Complexity Classes
We use derandomization to show that sequences of positive pspace-dimension
Xiaoyang Gu, Jack H. Lutz
CIE
2006
Springer
13 years 8 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
13 years 9 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
COCOON
2007
Springer
13 years 11 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan