Modelling the Way Mathematics Is Actually Done

Author: 

Corneli, J
Martin, U
Murray-Rust, D
Pease, A
Puzio, R
Nesin, G

Publication Date: 

2017

Journal: 

FARM '17: PROCEEDINGS OF THE 5TH ACM SIGPLAN INTERNATIONAL WORKSHOP ON FUNCTIONAL ART, MUSIC, MODELING, AND DESIGN

Last Updated: 

2019-10-06T22:46:58.523+01:00

DOI: 

10.1145/3122938.3122942

page: 

10-19

abstract: 

© 2017 Association for Computing Machinery. Whereas formal mathematical theories are well studied, computers cannot yet adequately represent and reason about mathematical dialogues and other informal texts. To address this gap, we have developed a representation and reasoning strategy that draws on contemporary argumentation theory and classic AI techniques for representing and querying narratives and dialogues. In order to make the structures that these modelling tools produce accessible to computational reasoning, we encode representations in a higherorder nested semantic network. This system, for which we have developed a preliminary prototype in LISP, can represent both the content of what people say, and the dynamic reasoning steps that move from one step to the next.

Symplectic id: 

737334

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Conference Paper

ISBN-13: 

9781450351805