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Hi,<br>
<br>
I've been thinking along the lines of this smart case proposal when
wondering about the possibility of judgemental naturality (w.r.t.
the motive) of eliminators.<br>
<br>
I think you have to be more careful when merging constraint sets:
what if a new constraint n = b is added to a constraint set
containing n' = b' where n' is blocked by the neutral subterm n?
This situation doesn't seem to be addressed in the slides as they
are.<br>
<br>
Best,<br>
Andreas N<br>
<br>
<div class="moz-cite-prefix">On 31.08.22 14:57, Thorsten Altenkirch
wrote:<br>
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<p class="MsoNormal"><span style="mso-fareast-language:EN-US">Maybe
somebody should implement the smart case…
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="mso-fareast-language:EN-US"><a class="moz-txt-link-freetext" href="http://www.cs.nott.ac.uk/~psztxa/talks/shonan11.pdf">http://www.cs.nott.ac.uk/~psztxa/talks/shonan11.pdf</a><o:p></o:p></span></p>
<p class="MsoNormal"><span style="mso-fareast-language:EN-US"><o:p> </o:p></span></p>
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1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span
style="font-size:12.0pt;color:black">From:
</span></b><span style="font-size:12.0pt;color:black">Agda
<a class="moz-txt-link-rfc2396E" href="mailto:agda-bounces@lists.chalmers.se"><agda-bounces@lists.chalmers.se></a> on behalf of Andrew
Pitts <a class="moz-txt-link-rfc2396E" href="mailto:Andrew.Pitts@cl.cam.ac.uk"><Andrew.Pitts@cl.cam.ac.uk></a><br>
<b>Date: </b>Tuesday, 30 August 2022 at 10:48<br>
<b>To: </b><a class="moz-txt-link-abbreviated" href="mailto:agda@lists.chalmers.se">agda@lists.chalmers.se</a>
<a class="moz-txt-link-rfc2396E" href="mailto:agda@lists.chalmers.se"><agda@lists.chalmers.se></a>, Miëtek Bak
<a class="moz-txt-link-rfc2396E" href="mailto:mietek@bak.io"><mietek@bak.io></a><br>
<b>Subject: </b>Re: [Agda] Path to success with Agda?<o:p></o:p></span></p>
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<p class="MsoNormal"><br>
<br>
> On 30 Aug 2022, at 09:29, Miëtek Bak
<a class="moz-txt-link-rfc2396E" href="mailto:mietek@bak.io"><mietek@bak.io></a> wrote:<br>
> <br>
>> On 30 Aug 2022, at 09:58, Andrew Pitts
<a class="moz-txt-link-rfc2396E" href="mailto:Andrew.Pitts@cl.cam.ac.uk"><Andrew.Pitts@cl.cam.ac.uk></a> wrote:<br>
>> <br>
>> So I wanted to mention the humble “case”
expression, which functional programmers can more easily
relate to, maybe. It’s less powerful that “with”, but
sometimes works (wrt the not typechecking thing) when “with”
won’t.<br>
> <br>
> It would be interesting to see an example in which
`case` works and `with` does not.<br>
<br>
I have some and will try to extract them from their context
when I get a mo. However, I should qualify what I said:<br>
<br>
"but sometimes [case] works (wrt the not typechecking
thing) when “with” won’t”<br>
<br>
What I really meant was that, at the time, it was easier for
me to use a “case" expression than to figure out how to
still use “with” by moving lemmas to the top level,
generalizing arguments a bit more, etc, etc. I expect
there’s always a way with “with”.
<br>
<br>
And if you are heavily in to using “rewrite” (“with”
disguised), then I guess “case” is not helpful.<br>
<br>
Andy<br>
<br>
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