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Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs

  • Conference paper
Rewriting and Typed Lambda Calculi (RTA 2014, TLCA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8560))

Abstract

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.

Supported by the Austrian Science Fund (FWF) projects P22767 and J3202.

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Authors and Affiliations

  1. Institute of Computer Science, University of Innsbruck, Austria

    Christian Sternagel & René Thiemann

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  1. Christian Sternagel
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  2. René Thiemann
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  1. Inria, 23 avenue d’Italie, CS 81321, 75214, Paris Cedex 13, France

    Gilles Dowek

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Sternagel, C., Thiemann, R. (2014). Formalizing Monotone Algebras for Certification of Termination and Complexity Proofs. In: Dowek, G. (eds) Rewriting and Typed Lambda Calculi. RTA TLCA 2014 2014. Lecture Notes in Computer Science, vol 8560. Springer, Cham. https://doi.org/10.1007/978-3-319-08918-8_30

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  • DOI: https://doi.org/10.1007/978-3-319-08918-8_30

  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-08918-8

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