The 5 Colour Theorem in Isabelle/Isar

  • Authors:
  • Gertrud Bauer;Tobias Nipkow

  • Affiliations:
  • -;-

  • Venue:
  • TPHOLs '02 Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics
  • Year:
  • 2002

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Abstract

Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detail, emphasizing the readability of the computer assisted proofs.