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    Making Presentation Math Computable

    A Context-Sensitive Approach for Translating LaTeX to Computer Algebra Systems

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    Author(s)
    Greiner-Petter, André
    Language
    English
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    Abstract
    This Open-Access-book addresses the issue of translating mathematical expressions from LaTeX to the syntax of Computer Algebra Systems (CAS). Over the past decades, especially in the domain of Sciences, Technology, Engineering, and Mathematics (STEM), LaTeX has become the de-facto standard to typeset mathematical formulae in publications. Since scientists are generally required to publish their work, LaTeX has become an integral part of today's publishing workflow. On the other hand, modern research increasingly relies on CAS to simplify, manipulate, compute, and visualize mathematics. However, existing LaTeX import functions in CAS are limited to simple arithmetic expressions and are, therefore, insufficient for most use cases. Consequently, the workflow of experimenting and publishing in the Sciences often includes time-consuming and error-prone manual conversions between presentational LaTeX and computational CAS formats. To address the lack of a reliable and comprehensive translation tool between LaTeX and CAS, this thesis makes the following three contributions. First, it provides an approach to semantically enhance LaTeX expressions with sufficient semantic information for translations into CAS syntaxes. Second, it demonstrates the first context-aware LaTeX to CAS translation framework LaCASt. Third, the thesis provides a novel approach to evaluate the performance for LaTeX to CAS translations on large-scaled datasets with an automatic verification of equations in digital mathematical libraries. This is an open access book.
    URI
    https://library.oapen.org/handle/20.500.12657/60822
    Keywords
    LaTeX; Computer Algebra Systems; Presentational Mathematics; Presentation to Computation Translations; Computable Mathematics; Mathematical Information Retrieval
    DOI
    10.1007/978-3-658-40473-4
    ISBN
    9783658404734, 9783658404734
    Publisher
    Springer Nature
    Publisher website
    https://www.springernature.com/gp/products/books
    Publication date and place
    Wiesbaden, 2023
    Grantor
    • National Institute of Informatics - [...]
    Imprint
    Springer Fachmedien Wiesbaden
    Classification
    Maths for engineers
    Artificial intelligence
    Algebra
    Pages
    197
    Rights
    http://creativecommons.org/licenses/by/4.0/
    • Imported or submitted locally

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    License

    • If not noted otherwise all contents are available under Attribution 4.0 International (CC BY 4.0)

    Credits

    • logo EU
    • This project received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 683680, 810640, 871069 and 964352.

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