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WildCat, Groupoid, Group - Solvers #1119

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marcinjangrzybowski
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@marcinjangrzybowski marcinjangrzybowski commented Mar 24, 2024

Also handles functor laws (for arbitrary many, and arbitrary nested functors)

Examples in:
WildCat
Group
Groupoid

everything works for now

TODO:

  • docs/comments,
  • resuse code from other solvers where possible
  • allow using usual funcotr for grooups, categories and groupoids (now they have to be wraped into equivalent WildFunctor type)

@marcinjangrzybowski
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marcinjangrzybowski commented Mar 24, 2024

Generic Solver (in Tactcics/WildCatSolver/Solvers.agda).
Can be instantiated with WildCatInstance, and optionaly nverses if they are present (for Groupoids, and Groups).
Examples of that specialisation are in Solver.agda files.

@felixwellen
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Very nice!
How does this relate to your open PR on Groups?

@marcinjangrzybowski
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I made elevant comment in that PR, they are independent now, previous PR is more abstract now, I removed solver and left results about uniqness of normal form without discretness asumption.



open Category C
module * = Category C*
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Might be better to use ´´´module C' = ...´´´ instead of the * which can be confused with the \ast

@marcinjangrzybowski
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Current path solver from this PR is really specialised groupoid solver, and I thing that in cubical path sovler shoould be from the start generalised to higher dims (I am preparing PR on this).
I plan to remove path solvler from this and then submit this PR with remainging solvers( WIldCat, Cat, Groupoids, Groups) for review this weekend.

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2 participants