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» A constructive version of Birkhoff's theorem
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JSYML
2010
60views more  JSYML 2010»
13 years 2 months ago
Generalizations of small profinite structures
We generalize the model theory of small profinite structures developed by Newelski to the case of compact metric spaces considered together with compact groups of homeomorphisms a...
Krzysztof Krupinski
LICS
2005
IEEE
14 years 1 months ago
Inverse and Implicit Functions in Domain Theory
We construct a domain-theoretic calculus for Lipschitz and differentiable functions, which includes addition, subtraction and composition. We then develop a domaintheoretic versio...
Abbas Edalat, Dirk Pattinson
FOCM
2008
100views more  FOCM 2008»
13 years 7 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 ...
TPHOL
1999
IEEE
13 years 11 months ago
Inductive Datatypes in HOL - Lessons Learned in Formal-Logic Engineering
Abstract. Isabelle/HOL has recently acquired new versions of definitional packages for inductive datatypes and primitive recursive functions. In contrast to its predecessors and mo...
Stefan Berghofer, Markus Wenzel
AIIA
1991
Springer
13 years 11 months ago
Approximate Entailment
The use of approximation as a method for dealing with complex problems is a fundamental research issue in Knowledge Representation. Using approximation in symbolic AI is not strai...
Marco Cadoli, Marco Schaerf