Automated Theory Formation for Tutoring Tasks in Pure Mathematics (2002)
| Venue: | In CADE-18, Workshop on the Role of Automated Deduction in Mathematics |
| Citations: | 2 - 0 self |
BibTeX
@INPROCEEDINGS{Colton02automatedtheory,
author = {Simon Colton and Roy McCasland and Alan Bundy and Toby Walsh},
title = {Automated Theory Formation for Tutoring Tasks in Pure Mathematics},
booktitle = {In CADE-18, Workshop on the Role of Automated Deduction in Mathematics},
year = {2002}
}
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Abstract
The HR program forms mathematical theories from as little information as the axioms of a domain. The theories include concepts with examples and de nitions, conjectures, theorems and proofs. Moreover, HR uses third party mathematical software including automated theorem provers and model generators. We suggest that a potential role for theory formation systems such as HR is as an aid to mathematics lecturers. We discuss an application of HR to the generation of a set of group theory exercises. This forms part of a project using HR to make discoveries in Zariski spaces, which is also detailed.
