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Injecting Formal Mathematics Into LaTeX

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Intelligent Computer Mathematics (CICM 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13467))

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Abstract

The paper presents the format for representing informal mathematics. acts as a surface language for two systems: the (presentation-oriented) system to produce PDF and the semantics-aware Mmt system for advanced knowledge management services. We discuss how the markup facilities allow in situ flexiformalization (and the necessary elaboration of complex structures), while staying presentationally neutral.

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Notes

  1. 1.

    Note that the latter requires a browser with MathML support to display formal expressions, such as Firefox, but notably not (vanilla) Chrome yet (intent-to-publish for MathML in Chromium has been announced, expected in 2023).

  2. 2.

    This case requires a symbol for conjunction to be in scope, which can be marked as such using a dedicated parametric Mmt rules. The expression  above (and now here, too) type checks, because we include a module that provides one earlier.

References

  1. Carette, J., Farmer, W.M., Kohlhase, M.: Realms: a structure for consolidating knowledge about mathematical theories. In: Watt, S.M., Davenport, J.H., Sexton, A.P., Sojka, P., Urban, J. (eds.) CICM 2014. LNCS (LNAI), vol. 8543, pp. 252–266. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08434-3_19

    Chapter  Google Scholar 

  2. Müller, D., Rabe, F., Rothgang, C., Kohlhase, M.: Representing structural language features in formal meta-languages. In: Benzmüller, C., Miller, B. (eds.) CICM 2020. LNCS (LNAI), vol. 12236, pp. 206–221. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-53518-6_13

    Chapter  Google Scholar 

  3. Horozal, F., Rabe, F., Kohlhase, M.: Flexary operators for formalized mathematics. In: Watt, S.M., Davenport, J.H., Sexton, A.P., Sojka, P., Urban, J. (eds.) CICM 2014. LNCS (LNAI), vol. 8543, pp. 312–327. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08434-3_23

    Chapter  MATH  Google Scholar 

  4. Kohlhase, M., Müller, D.: The sTeX3 package collection. Technical Report. https://github.com/slatex/sTeX/blob/main/doc/stex-doc.pdf. Accessed 24 Apr 2022

  5. Kohlhase, M.: OMDoc – an open markup format for mathematical documents [version 1.2]. LNCS (LNAI), vol. 4180. Springer, Heidelberg (2006). https://doi.org/10.1007/11826095

    Book  Google Scholar 

  6. Kohlhase, M.: Using LATEX as a semantic markup format. Math. Comput. Sci. 2(2), 279–304 (2008). https://doi.org/10.1007/s11786-008-0055-5, https://kwarc.info/kohlhase/papers/mcs08-stex.pdf

  7. MMT – Language and System for the Uniform Representation of Knowledge. Project web site. https://uniformal.github.io/. Accessed 15 Jan 2019

  8. Müller, D., Rabe, F., Kohlhase, M.: Theories as types. In: Galmiche, D., Schulz, S., Sebastiani, R. (eds.) IJCAR 2018. LNCS (LNAI), vol. 10900, pp. 575–590. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-94205-6_38

    Chapter  Google Scholar 

  9. Müller, D.: Mathematical knowledge management across formal libraries. PhD thesis. Informatics, FAU Erlangen-Nürnberg, December 2019. https://opus4.kobv.de/opus4-au/files/12359/thesis.pdf

  10. Rabe, F., Kohlhase, M.: A scalable module system. Inf. Comput. 0.230, 1–54 (2013). https://kwarc.info/frabe/Research/mmt.pdf

  11. sTeX: a semantic extension of TeX/LaTeX. https://github.com/sLaTeX/sTeX. Accessed 05 Nov 2020

  12. Watt, S.M., Davenport, J.H., Sexton, A.P., Sojka, P., Urban, J. (eds.): CICM 2014. LNCS (LNAI), vol. 8543. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08434-3

    Book  Google Scholar 

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Author information

Authors and Affiliations

  1. Computer Science, FAU Erlangen-Nürnberg, Erlangen, Germany

    Dennis Müller & Michael Kohlhase

Authors
  1. Dennis Müller
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  2. Michael Kohlhase
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Corresponding author

Correspondence to Dennis Müller .

Editor information

Editors and Affiliations

  1. Imperial College London, London, UK

    Kevin Buzzard

  2. Johannes Kepler University Linz, Linz, Austria

    Temur Kutsia

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Müller, D., Kohlhase, M. (2022). Injecting Formal Mathematics Into LaTeX. In: Buzzard, K., Kutsia, T. (eds) Intelligent Computer Mathematics. CICM 2022. Lecture Notes in Computer Science(), vol 13467. Springer, Cham. https://doi.org/10.1007/978-3-031-16681-5_12

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  • DOI: https://doi.org/10.1007/978-3-031-16681-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-16680-8

  • Online ISBN: 978-3-031-16681-5

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