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Published in:
2014 | OriginalPaper | Chapter
Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs
Authors : Christian Sternagel, René Thiemann
Published in: Rewriting and Typed Lambda Calculi
Publisher: Springer International Publishing
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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.