International Conference on Rewriting Techniques and Applications

RTA 2014: Rewriting and Typed Lambda Calculi pp 441-455 | Cite as

Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs

  • Christian Sternagel
  • René Thiemann
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8560)


Monotone algebras are frequently used to generate reduction orders in automated termination and complexity proofs. To be able to certify these proofs, we formalized several kinds of interpretations in the proof assistant Isabelle/HOL. We report on our integration of matrix interpretations, arctic interpretations, and nonlinear polynomial interpretations over various domains, including the reals.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Christian Sternagel
    • 1
  • René Thiemann
    • 1
  1. 1.Institute of Computer ScienceUniversity of InnsbruckAustria

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