Modelling the Way Mathematics Is Actually Done

Joseph Corneli, Ursula Martin, Dave Murray-Rust, Alison Pease, Raymond Puzio, Gabriela Rino Nesin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 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.
Original languageEnglish
Title of host publication2017 International Workshop on Functional Art, Music, Modelling and Design (FARM 2017)
PublisherACM
Pages10-19
Number of pages12
DOIs
Publication statusPublished - 9 Sep 2017
Event5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design - Oxford, United Kingdom
Duration: 9 Sep 20179 Sep 2017
https://icfp17.sigplan.org/

Conference

Conference5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design
Abbreviated titleFARM 2017
CountryUnited Kingdom
CityOxford
Period9/09/179/09/17
Internet address

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