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» Hierarchy Theorems for Property Testing
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LICS
2010
IEEE
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
DBPL
1997
Springer
117views Database» more  DBPL 1997»
14 years 22 days ago
Degrees of Monotonicity of Spatial Transformations
We consider spatial databases that can be defined in terms of polynomial inequalities, and we are interested in monotonic transformations of spatial databases. We investigate a hi...
Bart Kuijpers
PODS
2008
ACM
174views Database» more  PODS 2008»
14 years 8 months ago
Epistemic privacy
We present a novel definition of privacy in the framework of offline (retroactive) database query auditing. Given information about the database, a description of sensitive data, ...
Alexandre V. Evfimievski, Ronald Fagin, David P. W...
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 8 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
FOCM
2008
100views more  FOCM 2008»
13 years 8 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...