Automatic Concept Formation in Pure Mathematics
Abstract
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 the theorems and proofs involving them to estimate the interestingness of each concept and employ a best first search. This approach has led HR to the discovery of interesting new mathematics and enables it to build theories from just the axioms of finite algebras.
Cite
Text
Colton et al. "Automatic Concept Formation in Pure Mathematics." International Joint Conference on Artificial Intelligence, 1999.Markdown
[Colton et al. "Automatic Concept Formation in Pure Mathematics." International Joint Conference on Artificial Intelligence, 1999.](https://mlanthology.org/ijcai/1999/colton1999ijcai-automatic/)BibTeX
@inproceedings{colton1999ijcai-automatic,
title = {{Automatic Concept Formation in Pure Mathematics}},
author = {Colton, Simon and Bundy, Alan and Walsh, Toby},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {1999},
pages = {786-793},
url = {https://mlanthology.org/ijcai/1999/colton1999ijcai-automatic/}
}