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Re: [Coq-Club] Ordinal induction


chronological Thread 
  • From: Nils Anders Danielsson <nad AT Cs.Nott.AC.UK>
  • To: Edsko de Vries <Edsko.de.Vries AT cs.tcd.ie>
  • Cc: coq-club <coq-club AT pauillac.inria.fr>
  • Subject: Re: [Coq-Club] Ordinal induction
  • Date: Thu, 22 Oct 2009 11:24:12 +0100
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

On 2009-10-21 16:49, Edsko de Vries wrote:
Also, if I can ask a potentially very stupid question: is there a relation between ordinal induction and coinduction?

A function from the natural numbers can be seen as a coinductively
defined structure. Peter Hancock recently mentioned the following
definition of the Brouwer ordinals:

 mu X. nu Y. 1 + X * Y

 (http://article.gmane.org/gmane.comp.lang.agda/953)

--
/NAD

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