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» Computational Discovery in Pure Mathematics
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DIS
2007
Springer
13 years 10 months ago
Computational Discovery in Pure Mathematics
Abstract. We discuss what constitutes knowledge in pure mathematics and how new advances are made and communicated. We describe the impact of computer algebra systems, automated th...
Simon Colton
ML
2006
ACM
143views Machine Learning» more  ML 2006»
13 years 4 months ago
Mathematical applications of inductive logic programming
The application of Inductive Logic Programming to scientific datasets has been highly successful. Such applications have led to breakthroughs in the domain of interest and have dri...
Simon Colton, Stephen Muggleton
ILP
2003
Springer
13 years 9 months 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
FOSSACS
2005
Springer
13 years 10 months ago
Mathematical Models of Computational and Combinatorial Structures
The general aim of this talk is to advocate a combinatorial perspective, together with its methods, in the investigation and study of models of computation structures. This, of cou...
Marcelo P. Fiore
DIAGRAMS
2006
Springer
13 years 8 months ago
The Mathematics of Boundaries: A Beginning
The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorpor...
William Bricken