agda/cubical

Solver for wild categories

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It should be not too hard to write a solver for wild categories (might still be that I am missing some detail which causes a problem in the end...). I have the following scheme in mind, but there might be others:

  • Construct the free wild category on a reflexive graph (partially done with #1117 )
  • An equation between compositions of morphisms in a wild category is a (reflexive) diagram which is the boundary of a 2-cell.
  • Use the universal property to construct a filler of this 2-cell if the compositions are equal in the free wild cat.
  • Build a nice reflection interface.

Feel free to discuss this scheme and suggest improvements!