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[Coq-Club] algebraic hierarchy


Chronological Thread 
  • From: Vadim Zaliva <vzaliva AT cmu.edu>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] algebraic hierarchy
  • Date: Sat, 8 Nov 2014 17:21:55 -0800

I am looking for a framework which allows me to reason about basic algebraic
structures, in particular semirings, rings, ordered rings, etc. in Coq. Type
hierarchy, basic Properties, etc. I could not find anything readily available
for Coq, except this paper:

[1] H. Geuvers, R. Pollack, F. Wiedijk, and J. Zwanenburg, “A Constructive
Algebraic Hierarchy in Coq,” J. Symb. Comput., vol. 34, no. 4, pp. 271–286,
Oct. 2002.

If there are any other libraries I should look at, or should I try to extract
required structures from FTA project?
I started putting together simple placeholder of my own, but I quickly
realized that this is too much work and beyond the scope of my project and I
would rather re-use something already available.

Sincerely,
Vadim




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