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» On the locality of bounded growth
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LICS
1995
IEEE
14 years 1 months ago
Tree Canonization and Transitive Closure
We prove that tree isomorphism is not expressible in the language (FO + TC + COUNT). This is surprising since in the presence of ordering the language captures NL, whereas tree is...
Kousha Etessami, Neil Immerman
ICIP
1994
IEEE
14 years 2 months ago
Total Variation Based Image Restoration with Free Local Constraints
The two main plagues of image restoration are oscillations and smoothing. Traditional image restoration techniques prevent parasitic oscillations by resorting to smooth regulariza...
Leonid I. Rudin, Stanley Osher
FAW
2008
Springer
111views Algorithms» more  FAW 2008»
13 years 11 months ago
Efficient First-Order Model-Checking Using Short Labels
We prove that there exists an O(log(n))-labeling scheme for every first-order formula with free set variables in every class of graphs that is nicely locally cwd-decomposable, whic...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
ICALP
2007
Springer
14 years 4 months ago
Model Theory Makes Formulas Large
Gaifman’s locality theorem states that every first-order sentence is equivalent to a local sentence. We show that there is no elementary bound on the length of the local sentenc...
Anuj Dawar, Martin Grohe, Stephan Kreutzer, Nicole...
IROS
2006
IEEE
166views Robotics» more  IROS 2006»
14 years 4 months ago
Anytime RRTs
— We present an anytime algorithm for planning paths through high-dimensional, non-uniform cost search spaces. Our approach works by generating a series of Rapidly-exploring Rand...
Dave Ferguson, Anthony Stentz