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2019 | OriginalPaper | Chapter

MMTTeX: Connecting Content and Narration-Oriented Document Formats

Author : Florian Rabe

Published in: Intelligent Computer Mathematics

Publisher: Springer International Publishing

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Abstract

Narrative, presentation-oriented assistant systems for mathematics such as https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figa_HTML.gif 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 https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figb_HTML.gif for the narrative and Mmt for the content-oriented representation. Formal objects may be written in MMT and imported into https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figc_HTML.gif documents or written in the https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figd_HTML.gif document directly. In the latter case, Mmt parses and checks the formal content during https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Fige_HTML.gif compilation and substitutes it with https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figf_HTML.gif presentation macros.
Besides checking the formal objects, this allows generating higher-quality https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-23250-4_14/MediaObjects/478766_1_En_14_Figg_HTML.gif 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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Metadata
Title
MMTTeX: Connecting Content and Narration-Oriented Document Formats
Author
Florian Rabe
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-23250-4_14

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