Automated Engineering of Relational and Algebraic Methods in Isabelle/HOL

(Invited Tutorial)
  • Simon Foster
  • Georg Struth
  • Tjark Weber
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6663)


We present a new integration of relational and algebraic methods in the Isabelle/HOL theorem proving environment. It consists of a fine grained hierarchy of algebraic structures based on Isabelle’s type classes and locales, and a repository of more than 800 facts obtained by automated theorem proving. We demonstrate further benefits of Isabelle for hypothesis learning, duality reasoning, theorem instantiation, and reasoning across models and theories. Our work forms the basis for a reference repository and a program development environment based on algebraic methods. It can also be used by mathematicians for exploring and integrating new variants.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Simon Foster
    • 1
  • Georg Struth
    • 1
  • Tjark Weber
    • 2
  1. 1.Department of Computer ScienceThe University of SheffieldUK
  2. 2.Computer LaboratoryUniversity of CambridgeUK

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