Modelling the way mathematics is actually done

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

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.
Original languageEnglish
Title of host publicationProceedings of the 5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design
PublisherACM
Pages10-19
Number of pages10
ISBN (Electronic)9781450351805
ISBN (Print)9781450351805
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

Workshop

Workshop5th ACM SIGPLAN International Workshop
on Functional Art, Music, Modeling and Design
Abbreviated titleFARM'2017
CountryUnited Kingdom
CityOxford
Period9/09/179/09/17

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    University of Edinburgh, University of Oxford, University of Edinburgh, University of Dundee, & Rino Nesin, G. (2017). Modelling the way mathematics is actually done. In Proceedings of the 5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design (pp. 10-19). ACM. https://doi.org/10.1145/3122938.3122942