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Towards mathematical AI via a model of the content and process of mathematical question and answer dialogues

Title: Towards mathematical AI via a model of the content and process of mathematical question and answer dialogues
Authors: Corneli, J; Martin, U; Murray-Rust, D; Pease, A
Publisher Information: Springer Verlag
Publication Year: 2017
Collection: Oxford University Research Archive (ORA)
Description: This paper outlines a strategy for building semantically meaningful representations and carrying out effective reasoning in technical knowledge domains such as mathematics. Our central assertion is that the semi-structured Q & A format, as used on the popular Stack Exchange network of websites, exposes domain knowledge in a form that is already reasonably close to the structured knowledge formats that computers can reason about. The knowledge in question is not only facts - but discursive, dialectical, argument for purposes of proof and pedagogy. We therefore assert that modelling the Q & A process computationally provides a route to domain understanding that is compatible with the day-to-day practices of mathematicians and students. This position is supported by a small case study that analyses one question from Mathoverflow in detail, using concepts from argumentation theory. A programme of future work, including a rigorous evaluation strategy, is then advanced.
Document Type: conference object
Language: unknown
DOI: 10.1007/978-3-319-62075-6_10
Availability: https://doi.org/10.1007/978-3-319-62075-6_10; https://ora.ox.ac.uk/objects/uuid:8548a692-9902-454d-98fd-e4fdada8e3df
Rights: info:eu-repo/semantics/openAccess
Accession Number: edsbas.4F89D045
Database: BASE