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Re: [Coq-Club] CoC


Chronological Thread 
  • From: Richard Dapoigny <richard.dapoigny AT univ-savoie.fr>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] CoC
  • Date: Tue, 28 May 2013 10:33:44 +0200

Le 28/05/2013 06:17, Kenneth Adam Miller a écrit :
My impression is that the Calculus of Constructions would be something
incredibly valuable to know and be able to wield. Since it was born within the
past few decades, I had surmised that it hadn't hit mainstream because the
learning curve is incredibly high and because its so new; are these correct?

Also, when reading the Coq'Art book, I find that there are a number of subtle
and even explicit references to the CoC, and I want to be able to understand
the CoC fundamentally in order to draw the most out of this book. I searched
everywhere for the original publication that was cited in the book, but
couldn't find it available on the open web. Would anybody know where a good
set of materials might be, other than the Software Foundations or Coq'Art
book, both of which I already have access to?
Hi,
To my knowledge there are no books about the CoC strictly speaking, however you can read "Computation and reasoning" written by Zaohui Luo. This is about ECC, the Extented Calculus of Constructions in which you will find many details clearly stated. Major differences with the CoC (with universes) are the subtyping (cumulativity) which is processed with coercions in Coq and the neta-rule not available in ECC. However there are many explanations that may interest you.
Cheers
Richard

--
And the wounded skies above say
it's much too much too late.
Well, maybe we should all be praying for time.

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