Skip to main content
SpringerLink
Log in
Book cover

International Conference on Intelligent Computer Mathematics

CICM 2017: Intelligent Computer Mathematics pp 272–291Cite as

A Web-Based Toolkit for Mathematical Word Processing Applications with Semantics

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10383))

Abstract

Lurch is an open-source word processor that can check the steps in students’ mathematical proofs. Users write in a natural language, but mark portions of a document as meaningful, so the software can distinguish content for human readers from content it should analyze.

This paper describes the Lurch Web Platform, a system of tools the authors have created as part of a project to upgrade Lurch from a desktop application to a web application. That system of tools is available on GitHub for other mathematical software developers to use in their own projects. It includes a web editor with mathematical typesetting, an interface for marking up documents with mathematical (or other structured) meaning, OpenMath support, meaning visualization tools, and document dependence and sharing features, among others.

We conclude with design plans for ongoing development of the web version of Lurch that will be built on the Lurch Web Platform.

Lurch was supported from 2008–2012 in part by the National Science Foundation’s Division of Undergraduate Education, in the Course, Curriculum, and Laboratory Improvement program (grant #0736644). Views expressed in this document are not necessarily those of the National Science Foundation.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Ashkenas, J.: Literate CoffeeScript, February 2013. http://coffeescript.org/#literate

  2. Beezer, R.A.: MathBook XML Author’s Guide, March 2017. http://mathbook.pugetsound.edu/doc/author-guide/mathbook-author-guide.pdf

  3. Carter, N.: jsfs: a (small) filesystem stored in the browser’s LocalStorage. A free and open source software project, May 2015. http://github.com/nathancarter/jsfs

  4. Carter, N., Monks, K.G.: Introduction to Lurch: advanced users guide (2012). http://lurchmath.org/AUG-v1.html

  5. Carter, N., Monks, K.G.: Lurch: a word processor built on OpenMath that can check mathematical reasoning. In: Lange, C., et al. (eds.) Workshops and Work in Progress at CICM, EEEE 1010. CEUR Workshop Proceedings (2013)

    Google Scholar 

  6. Carter, N., Monks, K.G.: Lurch: a word processor that can grade students’ proofs. In: Lange, C., et al. (eds.) Workshops and Work in Progress at CICM, FFFFF 1010. CEUR Workshop Proceedings (2013)

    Google Scholar 

  7. Carter, N., Monks, K.G.: From formal to expository: using the proof-checking word processor Lurch to teach proof writing. In: Schwell, R., Franko, J., Steurer, A. (eds.) Beyond Lecture: Resources and Pedagogical Techniques for Enhancing the Teaching of Proof-Writing Across the Curriculum. Mathematical Association of America (2015)

    Google Scholar 

  8. Carter, N., Monks, K.G.: Lurch: a word processor that can check your math. A free and open source software project, March 2017. http://lurchmath.org

  9. Carter, N., Monks, K.G.: webLurch: a web-based word processor that can check your math. A free and open source software project under development, March 2017. http://nathancarter.github.io/weblurch

  10. Carter, N., Monks, K.G.: GitHub repository for the webLurch project (2017). https://github.com/nathancarter/weblurch

  11. Cervone, D., et al.: MathJax: beautiful math in all browsers. A free and open source software project (2017). http://mathjax.org

  12. The Coq Development Team: The Coq proof assistant reference manual version 0.8 (2004). http://coq.inria.fr

  13. Microsoft Corporation: Microsoft office support: write an equation (2017). https://support.office.com/en-us/article/Write-an-equation-88e01bd4-54c5-4cf7-af83-8601084bf919

  14. de Moura, L., Kong, S., Avigad, J., van Doorn, F., von Raumer, J.: The lean theorem prover. In: 25th International Conference on Automated Deduction (CADE-25) (2015)

    Google Scholar 

  15. Gruber, J.: Markdown, December 2004. https://daringfireball.net/projects/markdown/

  16. Harrison, J.: The HOL Light system reference, October 2016. https://github.com/jrh13/hol-light/

  17. Kahl, W.: The teaching tool CalcCheck a proof-checker for Gries and Schneider’s “Logical Approach to Discrete Math”. In: Jouannaud, J.-P., Shao, Z. (eds.) CPP 2011. LNCS, vol. 7086, pp. 216–230. Springer, Heidelberg (2011). doi:10.1007/978-3-642-25379-9_17

    Chapter  Google Scholar 

  18. TinyMCE, J.L., et al.: JavaScript WYSIWYG editor. A free and open source software project (2017). http://tinymce.com

  19. MediaWiki: Extension:articleprotection – MediaWiki, the free wiki engine (2015). https://www.mediawiki.org/w/index.php?title=Extension:ArticleProtection&oldid=1487335

  20. MediaWiki: MediaWiki – MediaWiki, the free wiki engine (2016). http://www.mediawiki.org/

  21. Norell, U.: Dependently typed programming in Agda. In: Koopman, P., Plasmeijer, R., Swierstra, D. (eds.) AFP 2008. LNCS, vol. 5832, pp. 230–266. Springer, Heidelberg (2009). doi:10.1007/978-3-642-04652-0_5

    Chapter  Google Scholar 

  22. Rabe, F., Kohlhase, M.: A scalable module system. Inf. Comput. 230, 1–54 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  23. Seoul-Oh, H., Adkisson, J.: MathQuill: WYSIWYG math with only HTML, CSS, and JS. A free and open source software project, February 2017. http://mathquill.com

  24. The jQuery Foundation: jQuery API Documentation, June 2016. https://api.jquery.com/

  25. The LyX Team: LyX 1.6.1 - The Document Processor [Computer software and manual]. Internet (2009). http://www.lyx.org. Accessed 16 Feb 2009

  26. Wenzel, M., Wol, B.: Isabelle/PIDE as platform for educational tools. In: Workshop on Computer Theorem Proving Components for Educational Software (THedu 2011). Electronic Proceedings in Theoretical Computer Science, vol. 79 (2012). doi:10.4204/EPTCS.79.9

  27. The World Wide Web Consortium: Cross-origin resource sharing, W3C recommendation 16, January 2014. https://www.w3.org/TR/cors/

  28. The World Wide Web Consortium: Web workers, W3C working draft 24, September 2015. https://www.w3.org/TR/2015/WD-workers-20150924/

  29. Velleman, D.J.: Variable declarations in natural deduction. Ann. Pure Appl. Logic 144(1–3), 133–146 (2006). doi:10.1016/j.apal.2006.05.009

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bentley University, Waltham, MA, USA

    Nathan C. Carter

  2. University of Scranton, Scranton, PA, USA

    Kenneth G. Monks

Authors
  1. Nathan C. Carter
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kenneth G. Monks
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nathan C. Carter .

Editor information

Editors and Affiliations

  1. Radboud University, Nijmegen, The Netherlands

    Herman Geuvers

  2. Coventry University, Coventry, United Kingdom

    Matthew England

  3. National University of Sciences and Technology, Islamabad, Pakistan

    Osman Hasan

  4. Jacobs University Bremen, Bremen, Germany

    Florian Rabe

  5. FIZ Karlsruhe, Berlin, Germany

    Olaf Teschke

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Carter, N.C., Monks, K.G. (2017). A Web-Based Toolkit for Mathematical Word Processing Applications with Semantics. In: Geuvers, H., England, M., Hasan, O., Rabe, F., Teschke, O. (eds) Intelligent Computer Mathematics. CICM 2017. Lecture Notes in Computer Science(), vol 10383. Springer, Cham. https://doi.org/10.1007/978-3-319-62075-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-62075-6_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62074-9

  • Online ISBN: 978-3-319-62075-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation