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Managing Heterogeneous Theories within a Mathematical Knowledge Repository

  • Adam Grabowski
  • Markus Moschner
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3119)

Abstract

The problem of the integrity of a computer managed mathematical knowledge repository is in the heart of MKM since mathematical vernacular is a language permitting plenty of ways in expressing the same meaning. The users of the library are naturally forced to choose certain way among many similar ones, unless different approaches are provided by developers. Mizar is a system for formalizing mathematical content which is sufficient mature and flexible for a coexistence of different approaches of concrete subjects. Considering Mizar formalizations of ortholattice theory we discuss a useful mechanism of coping with the heterogeneity of theories in a library of mathematical facts.

Keywords

Boolean Algebra Mathematical Knowledge Knowledge Repository Proof Checker Formal Apparatus 
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 2004

Authors and Affiliations

  • Adam Grabowski
    • 1
  • Markus Moschner
    • 2
  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland
  2. 2.Department of StatisticsUniversity of ViennaViennaAustria

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