Termination of Isabelle Functions via Termination of Rewriting

Alexander Krauss, Christian Sternagel, René Thiemann, Carsten Fuhs, and Jürgen Giesl

Proceedings of the 2nd International Conference on Interactive Theorem Proving (ITP 2011), Lecture Notes in Computer Science 6898, pp. 152 – 167, 2011.


We show how to automate termination proofs for recursive functions in (a first-order subset of) Isabelle/HOL by encoding them as term rewrite systems and invoking an external termination prover. Our link to the external prover includes full proof reconstruction, where all necessary properties are derived inside Isabelle/HOL without oracles. Apart from the certification of the imported proof, the main challenge is the formal reduction of the proof obligation produced by Isabelle/HOL to the termination of the corresponding term rewrite system. We automate this reduction via suitable tactics which we added to the IsaFoR library.


  PDF |    doi:10.1007/978-3-642-22863-6_13   |  © Springer


author = "Alexander Krauss and Christian Sternagel and Ren{\'e} Thiemann and
Carsten Fuhs and J{\"u}rgen Giesl",
title = "Termination of {Isabelle} Functions via Termination of Rewriting",
booktitle = "Proceedings of the 2nd International Conference on Interactive Theorem Proving",
series = "Lecture Notes in Computer Science",
volume = 6898,
pages = "152--167",
publisher = "Springer-Verlag",
year = 2011
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