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Induction for Termination

Isabelle Gnaedig 1 Hélène Kirchner 1 Thomas Genet
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We propose a new approach to prove termination of innermost rewriting, based on induction, abstraction and narrowing. The induction ordering is not explicitly given a priori, but its existence is checked along the proof, by testing satisfiability of ordering constraints. A rule-based description of the technique is given, as well as a few examples to illustrate the method.
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https://hal.inria.fr/inria-00098943
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Submitted on : Tuesday, September 26, 2006 - 8:40:35 AM
Last modification on : Thursday, January 20, 2022 - 4:12:13 PM

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  • HAL Id : inria-00098943, version 1

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Isabelle Gnaedig, Hélène Kirchner, Thomas Genet. Induction for Termination. [Intern report] 99-R-338 || gnaedig99a, 1999, pp.21. ⟨inria-00098943⟩

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