The NumbersWithNames Program

Colton, Simon; Dennis, Louise Abigail

Abstract

We present the NumbersWithNames program which performs data-mining on the Encyclopedia of Integer Sequences to find interesting conjectures in number theory. The program forms conjectures by finding empirical relationships between a sequence chosen by the user and those in the Encyclopedia. Furthermore, it transforms the chosen sequence into another set of sequences about which conjectures can also be formed. Finally, the program prunes and sorts the conjectures so that themost plausible ones are presented first. We describe here the many improvements to the previous Prolog implementation which have enabled us to provide NumbersWithNames as an online program. We also present some new results from using NumbersWithNames, including details of an automated proof plan of a conjecture NumbersWithNames helped to discover.

Citation

Colton, S., & Dennis, L. A. The NumbersWithNames Program. Presented at Seventh International Sumposium on Artificial Intelligence and Mathematics

• Conference Name: Seventh International Sumposium on Artificial Intelligence and Mathematics
• Publication Date: Jan 1, 2002
• Deposit Date: Nov 24, 2005
• Publicly Available Date: Oct 9, 2007
• Peer Reviewed: Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1022768
• Additional Information: AI&M 3-2002