Title
Modelling the way mathematics is actually done.
Abstract
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 higher-order 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.
Year
DOI
Venue
2017
10.1145/3122938.3122942
FARM@ICFP
Keywords
DocType
ISBN
Arxana,knowledge representation and reasoning,inference anchoring theory,conceptual dependency,mathematics,natural language,formal proof,exposition
Conference
978-1-4503-5180-5
Citations 
PageRank 
References 
0
0.34
5
Authors
6
Name
Order
Citations
PageRank
Joseph Corneli15610.60
Ursula Martin212716.38
David Murray-Rust36713.37
Alison Pease414517.82
Raymond Puzio500.34
Gabriela Rino Nesin600.34