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RE: [Coq-Club] Probability / randomness frameworks in Coq


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  • From: "Soegtrop, Michael" <michael.soegtrop AT intel.com>
  • To: "coq-club AT inria.fr" <coq-club AT inria.fr>
  • Subject: RE: [Coq-Club] Probability / randomness frameworks in Coq
  • Date: Thu, 16 Aug 2018 09:17:11 +0000
  • Accept-language: de-DE, en-US
  • Authentication-results: mail3-smtp-sop.national.inria.fr; spf=None smtp.pra=michael.soegtrop AT intel.com; spf=Pass smtp.mailfrom=michael.soegtrop AT intel.com; spf=None smtp.helo=postmaster AT mga14.intel.com
  • Ironport-phdr: 9a23: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

Dear Sergey,

 

thanks for the pointer – I just had a first look and it also looks interesting!

 

What I am looking for is a formalization of probabilities, random variables, distributions, … which can be used in all fields which need them. As far as I can see currently independent formalizations exist for the use in information theory, cryptography and randomized algorithms. For most of these areas I can find even more than one formalization of probabilities and randomness. The area I wanted to look into is formalizing some statistical methods, e.g. hypothesis testing. There doesn’t seem to be much work in this area as yet.

 

Best regards,

 

Michael

 

From: coq-club-request AT inria.fr [mailto:coq-club-request AT inria.fr] On Behalf Of Sergey, Ilya
Sent: Thursday, August 16, 2018 10:38 AM
To: coq-club AT inria.fr
Subject: Re: [Coq-Club] Probability / randomness frameworks in Coq

 

Dear Michael,



We are using Reynald Affeldt et al.’s infotheo framework:





For some cool applications, check out “Formalization of Error-Correcting Codes: From Hamming to Modern Coding Theory” by Affeldt and Garrigue, ITP’15.



Kind regards,

Ilya 

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