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- From: David Leduc <david.leduc6 AT googlemail.com>
- To: Andreas Abel <andreas.abel AT ifi.lmu.de>
- Cc: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Re: Universe Polymorphism
- Date: Tue, 14 Sep 2010 13:49:29 +0000
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HI Andreas,
Andreas Abel
<andreas.abel AT ifi.lmu.de>
wrote:
> During the Agda meeting which finished a week ago we started to add
> cumulativity
This looks like a very dynamic community!!
> As of now, you can play with explicit universe polymorphism and cumulativity
> in MiniAgda (see my homepage). There your example looks like:
I'm not familiar with Agda's syntax.
> data T (i : Size) : Set $i
> { inn : (out : Set i) -> T i
> }
I guess 'inn' is for the 't' in my example.
What is 'out'? Why do you need it?
> fun U : (i : Size) -> T $i
> { U i = inn $i (T i)
> }
I guess it's a function definition by case analysis (here the only
case is 'i'), right?
I'm surprised by the $i in the type of U. Shouldn't it be the successor of
$i???
Why do you pass two arguments to 'inn' while according to its
definition it appears to take only one?
- Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?), David Leduc
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
Bruno Barras
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
David Leduc
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
Benjamin Werner
- [Coq-Club] Re: Universe Polymorphism,
Randy Pollack
- Re: [Coq-Club] Re: Universe Polymorphism,
Dan Doel
- Re: [Coq-Club] Re: Universe Polymorphism,
Randy Pollack
- Re: [Coq-Club] Re: Universe Polymorphism, Dan Doel
- Re: [Coq-Club] Re: Universe Polymorphism,
Andreas Abel
- Re: [Coq-Club] Re: Universe Polymorphism, David Leduc
- Re: [Coq-Club] Re: Universe Polymorphism, Andreas Abel
- Re: [Coq-Club] Re: Universe Polymorphism, Dan Doel
- Re: [Coq-Club] Re: Universe Polymorphism, Andreas Abel
- Re: [Coq-Club] Re: Universe Polymorphism, Dan Doel
- Re: [Coq-Club] Re: Universe Polymorphism,
Randy Pollack
- Re: [Coq-Club] Re: Universe Polymorphism,
Dan Doel
- [Coq-Club] Re: Universe Polymorphism,
Randy Pollack
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
Benjamin Werner
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
David Leduc
- Re: Universe Polymorphism (Was: [Coq-Club] Proving eq_dep statements?),
Bruno Barras
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