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- From: Jason Gross <jasongross9 AT gmail.com>
- To: coq-club <coq-club AT inria.fr>
- Subject: Re: [Coq-Club] Question about Exhaustive Matches
- Date: Tue, 13 May 2014 19:58:20 +0200
Here's a proposal: if we can fully infer the type of the [match] without inspecting it, and [pattern <match discriminee> in <type of match>] succeeds (and a further patterning on the indices/parameters, if necessary), then the resulting function should be tried as a the motive of the match.
-Jason
On Tue, May 13, 2014 at 5:29 PM, Adam Chlipala <adamc AT csail.mit.edu> wrote:
On 05/13/2014 10:31 AM, Cedric Auger wrote:Well, in short, no. :-) It's hard for me to see a simple, elegant rule that covers your examples.2014-05-13 16:20 GMT+02:00 Adam Chlipala <adamc AT csail.mit.edu>:
I suggest that it is appropriate to elaborate the following code:
Definition foo (n : nat) : T n := match n with ... end.
into:
Definition foo (n : nat) : T n := match n return T n with ... end.
but that further cleverness does more harm than good.
Well, don’t you rather want to allow that when the overall type of the match is provided?
I mean a:
Definition foo … := … ((fun x : <some explicit type> => …) match … end) …
or a
Definition foo … := … (match … end : <some explicit type>) …
would be allowed, but not
Definition foo (n : nat) := match n with … end.
(This is your example, but this time the ": T n" is not provided.)
- [Coq-Club] Question about Exhaustive Matches, Jack Kolb, 05/10/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Beta Ziliani, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Cedric Auger, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Adam Chlipala, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Cedric Auger, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Adam Chlipala, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Cedric Auger, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Adam Chlipala, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Jason Gross, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Adam Chlipala, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Cedric Auger, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Adam Chlipala, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Beta Ziliani, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Jason Gross, 05/13/2014
- Re: [Coq-Club] Question about Exhaustive Matches, Cedric Auger, 05/13/2014
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