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- From: Lionel Elie Mamane <lionel AT mamane.lu>
- To: casteran AT labri.fr, coq-club AT pauillac.inria.fr
- Subject: Re: [Coq-Club] ordinal numbers in Coq
- Date: Tue, 14 Sep 2004 16:31:42 +0200
- List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
On Thu, Sep 09, 2004 at 03:47:45PM +0200, Lionel Elie Mamane wrote:
> On Tue, Sep 07, 2004 at 10:36:43AM +0200,
>Â casteran AT labri.fr
> wrote:
>> I am looking for any development in Coq allowing to work with
>> ordinal numbers.
> Depending on how concrete you want to really get, it might pay off to
> "slaughter down" my Conway Games type down to something that would
> make acceptable ordinals. I'm thinking of something along the lines
> of:
> Inductive Ord : Type :=
> Ord_cons : (I:Type) (I -> Ord) -> Ord.
I realised that this is exactly the "Ens" type of sets in Benjamin
Werner's encoding of ZF set theory in Coq (contrib Rocq/ZF). I created
my Conway Games type by taking inspiration from Ens, so "la boucle est
bouclée".
--
Lionel
- [Coq-Club] ordinal numbers in Coq, casteran
- Re: [Coq-Club] ordinal numbers in Coq,
Lionel Elie Mamane
- Re: [Coq-Club] ordinal numbers in Coq, Lionel Elie Mamane
- Re: [Coq-Club] ordinal numbers in Coq,
Benjamin Werner
- Re: [Coq-Club] ordinal numbers in Coq, casteran
- Re: [Coq-Club] ordinal numbers in Coq,
Benjamin Werner
- Re: [Coq-Club] ordinal numbers in Coq, Lionel Elie Mamane
- Re: [Coq-Club] ordinal numbers in Coq,
Lionel Elie Mamane
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