[Agda] Classical Mathematics for a Constructive World
Andreas Abel
andreas.abel at ifi.lmu.de
Mon Dec 17 21:13:40 CET 2012
Nice slides, Peter!
Here are some remarks that came to me while reading your slides.
Cheers,
Andreas
slide 21
It does not make much sense to define a Top-elimination rule. In
natural deduction, there is no such rule; it is an artifact of defining
Top as a data type. The definition as record
record Top : P where
clearly does not give an elimination rule. (I understand that you do
not want to go into records in this tutorial, but maybe drop the
Top-elim rule.)
slide 22
If you start with conjunction and negation, should not be classical
implication be defined as
not (A and not B)
slide 34 3rd bullet
n * 3 == n + n + n needs induction on n, the wording on the slide is
a bit misleading. Simplification alone does not suffice.
On 17.12.12 2:53 PM, Peter Divianszky wrote:
> Hi,
>
> I have advertised Agda, I presented the attached slides for approx. 30
> mathematicians in Debrecen, Hungary, 20 of them were students.
> One of my students in Budapest translated the slides to English so I can
> present them to you.
>
> Your answers for my questions in this mailing list helped me a lot too,
> thank you very much.
>
> (I hope I didn't claim any false statement about Agda, please tell me if
> you find so.)
>
> Cheers,
> Peter
>
>
> _______________________________________________
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Andreas Abel <>< Du bist der geliebte Mensch.
Theoretical Computer Science, University of Munich
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andreas.abel at ifi.lmu.de
http://www2.tcs.ifi.lmu.de/~abel/
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