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Re: [Coq-Club] Large bodies of knowledge


Chronological Thread 
  • From: Rene Vestergaard <vestergaard.rene AT gmail.com>
  • To: Vladimir Voevodsky <vladimir AT ias.edu>, Rene Vestergaard <vester AT jaist.ac.jp>
  • Cc: Coq Club <coq-club AT inria.fr>, cl-isabelle-users AT lists.cam.ac.uk, hol-info AT lists.sourceforge.net, renevestergaard AT acm.org
  • Subject: Re: [Coq-Club] Large bodies of knowledge
  • Date: Mon, 03 Feb 2014 23:34:21 +0900

Dear Vladimir,

Thank you for sharing your considerations.

I must have misrepresented my position in the rush to ask my questions.

My intention was to cover what you state as being important under 'retrodiction', and it *is* the primary scientific justification I will be putting forward for the project. More, the monograph in question fits your description of the type of article you would want addressed, I believe.

My questions were about existing big formalizations, not so much what I had done.

Cheers,
Rene

On 2/3/14, 11:18 PM, Vladimir Voevodsky wrote:
Let me express my opinion which is somewhat against what you say.

I would be very interested in seeing the results of a project aimed at
rigorous formalization of all levels of reasoning in a relatively small
scientific paper which involves experiment(s). May be one of the classic
papers in biology.

I think achieving such a goal is highly non-trivial, visionary and important
undertaking.

I would be much less interested in seeing the results of a project which would
formalize a large monograph in the ``industrial" style i.e. without paying
attention to the new ideas which arise in the process and aiming only at obtaining
the final result.

Vladimir.




On Feb 2, 2014, at 11:09 PM, Rene Vestergaard
<vester AT jaist.ac.jp>
wrote:

I will shortly be attempting to reach a, for us, non-standard audience with a
project that includes the verification of the complete reasoning in a
molecular-biology monograph.

The primary sales argument is by proxy: there’s a Curry-Howard component to
the project that allows us to solve an open problem in the application domain.

The primary scientific argument concerns formal reasoning, including the
value of formalising/verifying a large body of knowledge, be it a textbook, a
monograph, a “big” result, or similar.

I have my own personal arguments for why large applications are a good idea:
- tests of and guidance for maturity/naturalness/expressivity of tools and
methodologies,
- development of libraries/momentum/etc.,
- teaching/industrial/etc. purposes,
- retrodiction and, of course,
- assuring large case splits and proof by reflection.

I was hoping people would help me with
1) what big applications have been done? what arguments were used?
2) do the arguments hold up in retrospect?

While 1) can be answered by references, I am particularly hoping that some of
the people behind these projects would attempt to answer 2) as best as
possible.

Cheers,
Rene




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