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Re: [Coq-Club] finite data types


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  • From: Jan Bessai <jan.bessai AT tu-dortmund.de>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] finite data types
  • Date: Mon, 18 Mar 2019 15:23:04 +0100
  • Authentication-results: mail3-smtp-sop.national.inria.fr; spf=None smtp.pra=jan.bessai AT tu-dortmund.de; spf=Pass smtp.mailfrom=jan.bessai AT tu-dortmund.de; spf=None smtp.helo=postmaster AT unimail.uni-dortmund.de
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Hi,

the mathematical components library has infrastructure for this:
http://math-comp.github.io/math-comp/htmldoc/mathcomp.ssreflect.fintype.html

Their book illustrates how to plug-in your own type in Part 2, Chapter
7.5.

-- Jan



On Mon, Mar 18, 2019 at 03:10:39PM +0100,
fritjof AT uni-bremen.de
wrote:
> Hi,
>
> I want to create a finite data type, like *Unsinged 8*,
> which containes values from 0 to 2^8 -1.
> I came up with an idea like:
>
> Definition unsigned (max:Z) : Set :=
> { x : Z | x >= 0 /\ x < max}.
>
> Definition unsigned_8 := unsigned (2^8).
>
> But I'm not sure, if this is the right way.
>
> Does someone know if there is a better way to define
> finite types?
>
> --f.
>



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