Skip to main content

From Proof-Assistants to Distributed Libraries of Mathematics: Tips and Pitfalls

  • Conference paper
  • First Online:
Book cover Mathematical Knowledge Management (MKM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2594))

Included in the following conference series:

Abstract

When we try to extract to an open format formal mathematical knowledge from libraries of already existing proof-assistants, we must face several problems and make important design decisions. This paper is based on our experiences on the exportation to XML of the theories developed in Coq and NuPRL: we try to collect a set of (hopefully useful) suggestions to pave the way to other teams willing to attempt the same operation.

The Calculemus Network, the MKM Network, the OpenMath Society, the HELM Project, the MoWGLI Project, the FDL Project, the MathWeb Project and many others.

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

Access this chapter

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Agrawal, N. Kayal, N. Saxena, “PRIMES in P”, unpublished, August 2002, http://www.cse.iitk.ac.in/users/manindra/primality.ps.

  2. A. Asperti, F. Guidi, L. Padovani, C. Sacerdoti Coen, I. Schena, “Mathematical Knowledge Management in HELM”, in On-Line Proceedings of the First International Workshop on Mathematical Knowledge Management (MKM2001), RISC-Linz, Austria, September 2001.

    Google Scholar 

  3. A. Asperti, L. Padovani, C. Sacerdoti Coen, Schena, I., “HELM and the semantic Math-Web”. Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics (TPHOLS 2001), 3–6 September 2001, Edinburgh, Scotland.

    Google Scholar 

  4. A. Asperti, B. Wegner, “MoWGLI-A New Approach for the Content Description in Digital Documents”, in Proceedings of the Ninth International Conference on Electronic Resources and the Social Role of Libraries in the Future, Section 4, Volume 1.

    Google Scholar 

  5. O. Caprotti, H. Geuvers, and M. Oostdijk, “Certified and Portable Mathematical Documents from Formal Contexts”, in On-Line Proceedings of the First International Workshop on Mathematical Knowledge Management (MKM2001), RISC-Linz, Austria, September 2001.

    Google Scholar 

  6. Y. Coscoy. “Explication textuelle de preuves pour le Calcul des Constructions Inductives”, Phd. Thesis, Université de Nice-Sophia Antipolis, 2000.

    Google Scholar 

  7. A. Franke, M. Kohlhase, “MBase: Representing Knowledge and Context for the Integration of Mathematical Software Systems”, to appear in Journal of Symbolic Computation.

    Google Scholar 

  8. J. Harrison, “Real Numbers in Real Applications”, invited talk at Formalising Continuous Mathematics 2002 (FCM2002), 19th August 2002, Radisson Hotel, Hampton, VA, USA

    Google Scholar 

  9. M. Kohlhase, A. Franke, “MBase: Representing Knowledge and Context for the Integration of Mathematical Software Systems”, Journal of Symbolic Computation 23:4 (2001), pp. 365–402.

    Article  MathSciNet  Google Scholar 

  10. Learning Technology Standards Committee of IEEE, “Draft Standard for Learning Object Metadata”, July 15th 2002.

    Google Scholar 

  11. C. Muñoz, “Un calcul de substitutions pour la représentation de preuves partielles en théorie de types”, PhD. Thesis, University Paris 7, 1997.

    Google Scholar 

  12. The OpenMath Esprit Consortium, “The OpenMath Standard”, O. Caprotti, D. P. Carlisle, A. M. Cohen editors.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Coen, C.S. (2003). From Proof-Assistants to Distributed Libraries of Mathematics: Tips and Pitfalls. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds) Mathematical Knowledge Management. MKM 2003. Lecture Notes in Computer Science, vol 2594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36469-2_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-36469-2_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00568-1

  • Online ISBN: 978-3-540-36469-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics