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» On the complexity of computing determinants
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STOC
2010
ACM
176views Algorithms» more  STOC 2010»
15 years 11 months ago
Complexity Theory for Operators in Analysis
We propose a new framework for discussing computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represente...
Akitoshi Kawamura and Stephen Cook
STACS
1993
Springer
15 years 11 months ago
The Complexity of Logic-Based Abduction
Abduction is an important form of nonmonotonic reasoning allowing one to find explanations for certain symptoms or manifestations. When the application domain is described by a l...
Thomas Eiter, Georg Gottlob
STOC
1989
ACM
117views Algorithms» more  STOC 1989»
15 years 11 months ago
On the Theory of Average Case Complexity
This paper takes the next step in developing the theory of average case complexity initiated by Leonid A Levin. Previous works Levin 84, Gurevich 87, Venkatesan and Levin 88] have...
Shai Ben-David, Benny Chor, Oded Goldreich, Michae...
IANDC
2008
74views more  IANDC 2008»
15 years 7 months ago
Baire categories on small complexity classes and meager-comeager laws
We introduce two resource-bounded Baire category notions on small complexity classes such as P, QUASIPOLY, SUBEXP and PSPACE and on probabilistic classes such as BPP, which differ...
Philippe Moser
ACRI
2010
Springer
15 years 5 months ago
The Complexity of Three-Dimensional Critical Avalanches
In this work we study the complexity of the three-dimensional sandpile avalanches triggered by the addition of two critical configurations. We prove that the algorithmic problem c...
Carolina Mejía, J. Andrés Montoya