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[Coq-Club] Elliptic curve in Coq


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  • From: Thery Laurent <thery AT ns.di.univaq.it>
  • To: coq-club AT pauillac.inria.fr
  • Subject: [Coq-Club] Elliptic curve in Coq
  • Date: Mon, 16 Apr 2007 11:18:47 +0200 (CEST)
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

Hi,

for people who are interested in the formalisation of Fermat last theorem

http://www.cs.rug.nl/~wim/fermat/wilesEnglish.html

Formalising elliptic curves, the easy first bit :-), has been done
inside  Coq

It has been used to prove the primality of prime numbers using Aitkin-Goldwasser-Kilian-Morain certificate:
http://mathworld.wolfram.com/Atkin-Goldwasser-Kilian-MorainCertificate.html

Now we can prove the primality within Coq of any prime with less than 300
decimal digits.

All the code for elliptic curve is available here

http://coqprime.gforge.inria.fr/

under the directory elliptic and compiles with Coq 8.1

--
Laurent









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