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[Coq-Club] Looking for simple examples of constructive logic and Curry-Howard isomorphism


Chronological Thread 
  • From: David MENTRÉ <dmentre AT linux-france.org>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] Looking for simple examples of constructive logic and Curry-Howard isomorphism
  • Date: Tue, 19 Nov 2013 20:27:58 +0100

Hello,

I am doing some introductory course on formal methods. Amongst them, I tell a few words about Coq and its underlying principles.

To illustrate more concretely this Coq part, would somebody have or point me to some *very* simple Coq examples of:

* Constructive logic: an example showing a short demonstration that exhibits the mathematical element to prove compared to the same proof made with classical logic;

* Curry-Howard isomorphism: a very simple Coq theorem (on Boolean or integers) with associated proof, from which I could also generate OCaml code and show the Coq type.

The shorter the better. If both parts can be combined into the same example, it might be easier to explain.

I have looked on Wikipedia and Google but examples I found were rather complicated (at least not something that can be explained in one slide).

Many thanks in advance for any help.

Best regards,
david



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