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Certification of Proving Termination of Term Rewriting by Matrix Interpretations

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SOFSEM 2008: Theory and Practice of Computer Science (SOFSEM 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4910))

Abstract

We develop a Coq formalization of the matrix interpretation method, which is a recently developed, powerful approach to proving termination of term rewriting. Our formalization is a contribution to the CoLoR project and allows to automatically certify matrix interpretation proofs produced by tools for proving termination. Thanks to this development the combination of CoLoR and our tool, TPA, was the winner in 2007 in the new certified category of the annual Termination Competition.

Some preliminary results of this paper were first announced in [14].

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References

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Viliam Geffert Juhani Karhumäki Alberto Bertoni Bart Preneel Pavol Návrat Mária Bieliková

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Koprowski, A., Zantema, H. (2008). Certification of Proving Termination of Term Rewriting by Matrix Interpretations. In: Geffert, V., Karhumäki, J., Bertoni, A., Preneel, B., Návrat, P., Bieliková, M. (eds) SOFSEM 2008: Theory and Practice of Computer Science. SOFSEM 2008. Lecture Notes in Computer Science, vol 4910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77566-9_28

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  • DOI: https://doi.org/10.1007/978-3-540-77566-9_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77565-2

  • Online ISBN: 978-3-540-77566-9

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