---
title: "Automatic Concept Formation in Pure Mathematics"
authors:
  - "Simon Colton"
  - "Alan Bundy"
  - "Toby Walsh"
doi: ""
url: "https://ijcai.org/proceedings/1999/112"
pdf: "https://ijcai.org/proceedings/1999/0112.pdf"
venue: "Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence"
year: 1999
pages: "786-792"
track: "Machine Learning"
keywords:
---

# Automatic Concept Formation in Pure Mathematics

Simon Colton, Alan Bundy, Toby Walsh

*Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence*, pages 786-792.

## 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 b es t 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.