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[Coq-Club]Formal presentation of Elim as match+fix?


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  • From: Stefan Monnier <monnier AT iro.umontreal.ca>
  • To: coq-club AT pauillac.inria.fr
  • Subject: [Coq-Club]Formal presentation of Elim as match+fix?
  • Date: Wed, 27 Sep 2006 13:10:04 -0400
  • Cancel-lock: sha1:in8TPnPMadVC7FBm2LRTaSjI0Vk=
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

All the papers I could find about inductive constructions seem to present
the elimination scheme as an integrated induction operator "Elim".

In Coq, on the other hand, I can use "Fixpoint" and "match" as two separate
constructs, to write my inductions mush as I would do in ML.

Could someone point me to a paper presenting formally the constraints placed
on the use of "match" and "Fixpoint" to guarantee termination (in Coq or in
some simplified variant)?  Ideally, this paper would come with a proof of
strong normalization (maybe via reducibility to the usual Elim form).


        Stefan





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