Division of Informatics

Forrest Hill & 80 South Bridge

## Research Paper #866 | |
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Title: | The Use of Classification in Automated Mathematical Concept Formation |

Authors: | Colton,SG; Cresswell,SN; Bundy,A |

Date: | Aug 1997 |

Presented: | Submitted to SIMCAT 97, Department of Artificial Intelligence, Edinburgh University |

Keywords: | |

Abstract: | Concept formation programs aim to produce a high yield of concepts which are considered interesting. One intelligent way to do this is to base a new concept on one or more concepts which are already known to be interesting. This requires a concrete notion of the "interestingness" of a particular concept. Restricting the concepts formed to mathematical definitions in finite group theory, we derive three measures ofthe importance of a concept. These measures are based on how much the concept improves a classification of finite groups. |

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