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Re: [Coq-Club] About formalizations of the strong normalization theorem


Chronological Thread 
  • From: Altenkirch Thorsten <psztxa AT exmail.nottingham.ac.uk>
  • To: "coq-club AT inria.fr" <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] About formalizations of the strong normalization theorem
  • Date: Tue, 13 May 2014 15:49:46 +0100
  • Accept-language: en-US, en-GB
  • Acceptlanguage: en-US, en-GB

Hi Kazuhiko,

my old proof '93 in LEGO (in pure CC + handcoded inductive types using
only eliminators) I needed 1647 lines. :-)

@InProceedings{alti:tlca93,
author = "Thorsten Altenkirch",
title = "A Formalization of the Strong Normalization Proof for
{System F} in {LEGO}",
booktitle = "Typed Lambda Calculi and Applications",
year = "1993",
editor = "M. Bezem, J.F. Groote",
series = "LNCS 664",
pages = "13 - 28",
}


The lego code is at http://www.cs.nott.ac.uk/~txa/publ/tlca93.zip
(this includes the proof for simply typed lambda calculus).
I don't think lego is still working :-(

Chhers,
Thorsten

On 13/05/2014 07:41, "Kazuhiko Sakaguchi"
<s1111365 AT coins.tsukuba.ac.jp>
wrote:

>Dear all,
>
>I have formalized the strong normalization theorem of the System F in
>SSReflect.
>The formalization is available at:
>https://github.com/pi8027/lambda-calculus/blob/master/coq/LC/Debruijn/F.v
>
>I assembled the proofs into a file (1,166 lines, 42KB).
>Does anybody know of a shorter formalization?
>https://gist.github.com/pi8027/9640431
>
>Regards,
>Kazuhiko Sakaguchi

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