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An Interactive Algebra Course with Formalised Proofs and Definitions

  • Andrea Asperti
  • Herman Geuvers
  • Iris Loeb
  • Lionel Elie Mamane
  • Claudio Sacerdoti Coen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3863)

Abstract

We describe a case-study of the application of web- technology (Helm 2) to create web-based didactic material out of a repository of formal mathematics (C-CoRN 5), using the structure of an existing course (IDA 4). The paper discusses the difficulties related to associating notation to a formula, the embedding of formal notions into a document (the “view”), and the rendering of proofs.

Keywords

Binary Operation Formalise Proof Proof Assistant Proof Tree Proof Term 
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.

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References

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    Asperti, A., Padovani, L., Sacerdoti Coen, C., Schena, I.: XML, Stylesheets and the re-mathematization of Formal Content. In: Proceedings of Extreme Markup Languages 2001 Conference, Montreal, Canada (August 12-17, 2001)Google Scholar
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    Asperti, A., Padovani, L., Sacerdoti Coen, C., Guidi, F., Schena, I.: Mathematical Knowledge Management in HELM. Annals of Mathematics and Artificial Intelligence 38(1), 27–46 (2003)zbMATHCrossRefMathSciNetGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Andrea Asperti
    • 1
  • Herman Geuvers
    • 2
  • Iris Loeb
    • 2
  • Lionel Elie Mamane
    • 2
  • Claudio Sacerdoti Coen
    • 3
  1. 1.Dept. of Comp. ScienceUniversity of BolognaItaly
  2. 2.ICISRadboud University NijmegenNL
  3. 3.Project PCRI, CNRSÉcole Polytechnique, INRIA, Université Paris-SudFrance

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