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[Coq-Club] field_simplify for radicals


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  • From: Robert Rand <rrand AT seas.upenn.edu>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] field_simplify for radicals
  • Date: Tue, 4 Jun 2019 14:51:30 -0400
  • Authentication-results: mail2-smtp-roc.national.inria.fr; spf=None smtp.pra=rrand AT seas.upenn.edu; spf=Pass smtp.mailfrom=rrand AT seas.upenn.edu; spf=None smtp.helo=postmaster AT mx0a-000c2a01.pphosted.com
  • Ironport-phdr: 9a23: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

Hi all,

I'm looking for an automated way of solving (generally concrete) equations (of real or complex numbers), typically involving roots of 2. I've found that field_simplify (or field_simplify_eq) works very well for my purposes, except that it doesn't know that (sqrt x)^2 = x. 

Is there any tactic that is like field_simplify but can deal with roots? (Are there any tactics to deal  with roots?) If not, any thoughts on how difficult it would be to extend field_simplify to handle roots?

Thanks,
Robert Rand



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