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CSL
2003
Springer
15 years 6 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...
DAM
2008
85views more  DAM 2008»
15 years 25 days ago
On the complexity of constrained VC-classes
Sauer's Lemma is extended to classes HN of binary-valued functions h on [n] = {1, . . . , n} which have a margin less than or equal to N on all x [n] with h(x) = 1, where th...
Joel Ratsaby
84
Voted
COCO
1989
Springer
110views Algorithms» more  COCO 1989»
15 years 4 months ago
The Complexity of Iterated Multiplication
For a monoid G, the iterated multiplication problem is the computation of the product of n elements from G. By re ning known completeness arguments, we show that as G varies over ...
Neil Immerman, Susan Landau
103
Voted
CIE
2009
Springer
15 years 7 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
186
Voted
IANDC
2008
139views more  IANDC 2008»
15 years 24 days ago
Computational complexity of dynamical systems: The case of cellular automata
Abstract. Cellular Automata can be considered discrete dynamical systems and at the same time a model of parallel computation. In this paper we investigate the connections between ...
Pietro di Lena, Luciano Margara