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ATP Cross-Verification of the Mizar MPTP Challenge Problems

  • Josef Urban
  • Geoff Sutcliffe
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4790)

Abstract

Mizar is a proof assistant used for formalization and mechanical verification of mathematics. The main use of Mizar is in the development of the Mizar Mathematical Library (MML), in which proofs are verified by the Mizar proof checker. The Mizar proof checker has a quite complex implementation, and also lacks the ability to print out detailed atomic proof steps in a format that is easy to verify by an independent proof-checking tool. This can raise concerns about the correctness of the MML. This paper describes how a Mizar-to-ATP translation (the MPTP system), ATP verification tools (the GDV system), and Automated Theorem Proving (ATP) systems, have been used for an independent cross-verification of a part of the MML.

Keywords

Natural Deduction Proof Assistant Automate Theorem Prove Mizar Mathematical Library Automate Theorem Prove System 
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 2007

Authors and Affiliations

  • Josef Urban
    • 1
  • Geoff Sutcliffe
    • 2
  1. 1.Dep’t of Theoretical Computer Science, Charles University in Prague 
  2. 2.Dep’t of Computer Science, University of Miami 

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