Large Formal Wikis: Issues and Solutions

  • Jesse Alama
  • Kasper Brink
  • Lionel Mamane
  • Josef Urban
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6824)

Abstract

We present several steps towards large formal mathematical wikis. The Coq proof assistant together with the CoRN repository are added to the pool of systems handled by the general wiki system described in [10]. A smart re-verification scheme for the large formal libraries in the wiki is suggested for Mizar/MML and Coq/CoRN, based on recently developed precise tracking of mathematical dependencies. We propose to use features of state-of-the-art filesystems to allow real-time cloning and sandboxing of the entire libraries, allowing also to extend the wiki to a true multi-user collaborative area. A number of related issues are discussed.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Alama, J., Mamane, L., Urban, J.: Dependencies in formal mathematics (preprint) (submitted)Google Scholar
  2. 2.
    Autexier, S., Calmet, J., Delahaye, D., Ion, P.D.F., Rideau, L., Rioboo, R., Sexton, A.P. (eds.): AISC 2010. LNCS, vol. 6167. Springer, Heidelberg (2010)Google Scholar
  3. 3.
    Bancerek, G.: Cardinal numbers. Formalized Mathematics 1(2), 377–382 (1990)Google Scholar
  4. 4.
    Bancerek, G.: Information retrieval and rendering with MML Query. In: Borwein, J.M., Farmer, W.M. (eds.) MKM 2006. LNCS (LNAI), vol. 4108, pp. 266–279. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  5. 5.
    Corbineau, P.: A declarative language for the Coq proof assistant. In: Miculan, M., Scagnetto, I., Honsell, F. (eds.) TYPES 2007. LNCS, vol. 4941, pp. 69–84. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  6. 6.
    Driessen, V.: A successful Git branching model, http://nvie.com/posts/a-successful-git-branching-model/
  7. 7.
    Spitters, B., van der Weegen, E.: Developing the algebraic hierarchy with type classes in Coq. In: Kaufmann, M., Paulson, L.C. (eds.) ITP 2010. LNCS, vol. 6172, pp. 490–493. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  8. 8.
    Tankink, C., Geuvers, H., McKinna, J., Wiedijk, F.: Proviola: A tool for proof re-animation. In: Autexier, et al. (eds.) [2], pp. 440–454Google Scholar
  9. 9.
    Urban, J.: XML-izing mizar: Making semantic processing and presentation of mml easy. In: Kohlhase, M. (ed.) MKM 2005. LNCS (LNAI), vol. 3863, pp. 346–360. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  10. 10.
    Urban, J., Alama, J., Rudnicki, P., Geuvers, H.: A wiki for Mizar: Motivation, considerations, and initial prototype. In: Autexier, et al. (eds.) [2], pp. 455–469Google Scholar
  11. 11.
    Urban, J., Sutcliffe, G.: Automated reasoning and presentation support for formalizing mathematics in Mizar. In: Autexier, et al. (eds.) [2], pp. 132–146Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jesse Alama
    • 1
  • Kasper Brink
    • 2
  • Lionel Mamane
    • 1
  • Josef Urban
    • 2
  1. 1.Center for Artificial IntelligenceNew University of LisbonPortugal
  2. 2.Institute for Computing and Information SciencesRadboud University NijmegenThe Netherlands

Personalised recommendations