Abstract
Narrative, presentation-oriented assistant systems for mathematics such as
on the one hand and formal, content-oriented ones such as proof assistants and computer algebra systems on the other hand have so far been developed and used largely independently. The former excel at communicating mathematical knowledge and the latter at certifying its correctness.
MMTTeX aims at combining the advantages of the two paradigms. Concretely, we use
for the narrative and Mmt for the content-oriented representation. Formal objects may be written in MMT and imported into
documents or written in the
document directly. In the latter case, Mmt parses and checks the formal content during
compilation and substitutes it with
presentation macros.
Besides checking the formal objects, this allows generating higher-quality
than could easily be produced by hand, e.g., by inserting hyperlinks and tooltips into formulas. Moreover, it allows reusing formalizations across narrative documents as well as between formal and narrative ones. As a case study, the present document was already written with MMTTeX.
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as a semantic markup format. Math. Comput. Sci. 2(2), 279–304 (2008)Acknowledgments
Both this paper and the MMTTeX implementation were redone from scratch by the author. But that work benefited substantially from two unpublished prototypes that were previously developed in collaboration with Deyan Ginev, Mihnea Iancu, and Michael Kohlhase. The author was supported by DFG grant RA-18723-1 OAF and EU grant Horizon 2020 ERI 676541 OpenDreamKit.
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Rabe, F. (2019). MMTTeX: Connecting Content and Narration-Oriented Document Formats. In: Kaliszyk, C., Brady, E., Kohlhase, A., Sacerdoti Coen, C. (eds) Intelligent Computer Mathematics. CICM 2019. Lecture Notes in Computer Science(), vol 11617. Springer, Cham. https://doi.org/10.1007/978-3-030-23250-4_14
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