Bringing Mathematics to the Web of Data: The Case of the Mathematics Subject Classification

  • Christoph Lange
  • Patrick Ion
  • Anastasia Dimou
  • Charalampos Bratsas
  • Wolfram Sperber
  • Michael Kohlhase
  • Ioannis Antoniou
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7295)

Abstract

The Mathematics Subject Classification (MSC), maintained by the American Mathematical Society’s Mathematical Reviews (MR) and FIZ Karlsruhe’s Zentralblatt für Mathematik (Zbl), is a scheme for classifying publications in mathematics. While it is widely used, its traditional, idiosyncratic conceptualization and representation did not encourage wide reuse on the Web, and it made the scheme hard to maintain. We have reimplemented its current version MSC2010 as a Linked Open Dataset using SKOS, and our focus is concentrated on turning it into the new MSC authority. This paper explains the motivation and details of our design considerations and how we realized them in the implementation, presents use cases, and future applications.

Keywords

Digital Library Link Data Concept Scheme SPARQL Query Link Open Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    van Assem, M.F.J.: Converting and Integrating Vocabularies for the Semantic Web. PhD thesis, Vrije Universiteit Amsterdam (2010), http://hdl.handle.net/1871/16148
  2. 2.
    Berners-Lee, T.: Cwm. A general purpose data processor for the semantic web (2009), http://www.w3.org/2000/10/swap/doc/cwm.html
  3. 3.
    Mathematical Markup Language (MathML) 3.0. W3C Recommendation (2010), http://www.w3.org/TR/MathML3
  4. 4.
    Carroll, J.J., Phillips, A.: Multilingual RDF and OWL. In: Gómez-Pérez, A., Euzenat, J. (eds.) ESWC 2005. LNCS, vol. 3532, pp. 108–122. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  5. 5.
    Carroll, J.J., et al.: Named Graphs, Provenance and Trust. In: WWW, pp. 613–622. ACM (2005)Google Scholar
  6. 6.
    Corlosquet, S., Delbru, R., Clark, T., Polleres, A., Decker, S.: Produce and Consume Linked Data with Drupal! In: Bernstein, A., Karger, D.R., Heath, T., Feigenbaum, L., Maynard, D., Motta, E., Thirunarayan, K. (eds.) ISWC 2009. LNCS, vol. 5823, pp. 763–778. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  7. 7.
    EuDML – European Digital Mathematics Library, http://eudml.eu
  8. 8.
    Heath, T., Bizer, C.: Linked Data: Evolving the Web into a Global Data Space. Morgan & Claypool (2011), http://linkeddatabook.com
  9. 9.
    Information technology – Metadata registries (MDR) – Part 1: Framework. Tech. Rep. 11179-1, ISO/IEC (2004)Google Scholar
  10. 10.
    Kohlhase, M., et al.: The Planetary System: Web 3.0 & Active Documents for STEM. Procedia Computer Science 4, 598–607 (2011), https://svn.mathweb.org/repos/planetary/doc/epc11/paper.pdf CrossRefGoogle Scholar
  11. 11.
    Lange, C.: Enabling Collaboration on Semiformal Mathematical Knowledge by Semantic Web Integration. Studies on the Semantic Web, vol. 11. IOS Press, Amsterdam (2011)MATHGoogle Scholar
  12. 12.
    MADS/RDF primer. Status: Final Public Review Document (2011), http://www.loc.gov/standards/mads/rdf/
  13. 13.
    Miles, A., Bechhofer, S.: SKOS Simple Knowledge Organization System Reference. W3C Recommendation (2009), http://www.w3.org/TR/skos-reference
  14. 14.
    MSC 2010 (2010), http://msc2010.org
  15. 15.
    Nielsen, M.: Reinventing Discovery: The New Era of Networked Science. Princeton University Press (2011)Google Scholar
  16. 16.
    Panzer, M., Zeng, M.L.: Modeling Classification Systems in SKOS: Some Challenges and Best-Practice Recommendations. In: International Conference on Dublin Core and Metadata Applications (2009), http://dcpapers.dublincore.org/index.php/pubs/article/view/974/0
  17. 17.
    Physics and Astronomy Classification Scheme, PACS (2010), http://aip.org/pacs/
  18. 18.
    PlanetMath.org, http://planetmath.org
  19. 19.
    Solomou, G., Papatheodorou, T.: The Use of SKOS Vocabularies in Digital Repositories: The DSpace Case. In: Semantic Computing (ICSC), pp. 542–547. IEEE (2010)Google Scholar
  20. 20.
    Sperber, W., Ion, P.: Content analysis and classification in mathematics. In: Classification & Ontology, Intern. UDC Seminar, pp. 129–144Google Scholar
  21. 21.
    Summers, E.: Following your nose to the Web of Data. Information Standards Quarterly 20(1) (2008), http://inkdroid.org/journal/following-your-nose-to-the-web-of-data
  22. 22.
    Summers, E., et al.: LCSH, SKOS and Linked Data. In: Dublin Core (2008), arXiv:0805.2855v3 [cs.DL]Google Scholar
  23. 23.
    The 1998 ACM Computing Classification System (1998), http://www.acm.org/about/class/ccs98

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Christoph Lange
    • 1
    • 2
  • Patrick Ion
    • 3
    • 4
  • Anastasia Dimou
    • 4
  • Charalampos Bratsas
    • 4
  • Wolfram Sperber
    • 5
  • Michael Kohlhase
    • 1
  • Ioannis Antoniou
    • 4
  1. 1.Computer ScienceJacobs UniversityBremenGermany
  2. 2.SFB TR/8University of BremenGermany
  3. 3.Mathematical ReviewsAmerican Mathematical SocietyUSA
  4. 4.Web ScienceAristotle UniversityThessalonikiGreece
  5. 5.FIZKarlsruheGermany

Personalised recommendations