Dependencies in Formal Mathematics: Applications and Extraction for Coq and Mizar

  • Jesse Alama
  • Lionel Mamane
  • Josef Urban
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7362)

Abstract

Two methods for extracting detailed formal dependencies from the Coq and Mizar system are presented and compared. The methods are used for dependency extraction from two large mathematical repositories: the Coq Repository at Nijmegen and the Mizar Mathematical Library. Several applications of the detailed dependency analysis are described and proposed. Motivated by the different applications, we discuss the various kinds of dependencies that we are interested in, and the suitability of various dependency extraction methods.

Keywords

Proof Assistant Proof Tree Formal Dependency Automate Theorem Prove Logical Construct 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jesse Alama
    • 1
  • Lionel Mamane
    • 2
  • Josef Urban
    • 3
  1. 1.Center for Artificial IntelligenceNew University of LisbonPortugal
  2. 2.BereldangeLuxembourg
  3. 3.Institute for Computing and Information SciencesRadboud University NijmegenThe Netherlands

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