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Cross Domain Mathematical Concept Formation
(The University of Edinburgh, 2000)
Many interesting concepts in mathematics are essentially "cross-domain" in nature, relating objects from more than one area of mathematics, e.g. prime order groups. These concepts are often vital to the formation of a ...
Coloured rippling: An extension of a theorem proving heuristic
(John Wiley & Sons, 1994)
Rippling is a type of rewriting developed in inductive theorem proving for removing differences between terms; the induction conclusion is annotated to mark its differences from the induction hypothesis and rippling ...
Automatic Concept Formation in Pure Mathematics
The HR program forms concepts and makes conjectures in domains of pure mathematics and uses theorem prover OTTER and model generator MACE to prove or disprove the conjectures. HR measures properties of concepts and assesses ...