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COMBINATORICS
2004
100views more  COMBINATORICS 2004»
13 years 7 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner
ITP
2010
230views Mathematics» more  ITP 2010»
13 years 9 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
CADE
1990
Springer
13 years 11 months ago
IMPS: An Interactive Mathematical Proof System
imps is an Interactive Mathematical Proof System intended as a general purpose tool for formulating and applying mathematics in a familiar fashion. The logic of imps is based on a...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
ILP
2003
Springer
14 years 17 days ago
ILP for Mathematical Discovery
We believe that AI programs written for discovery tasks will need to simultaneously employ a variety of reasoning techniques such as induction, abduction, deduction, calculation an...
Simon Colton, Stephen Muggleton
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 7 months ago
Metric Structures and Probabilistic Computation
Abstract. Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical co...
Wesley Calvert