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Finite limit sketches #444

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@kris-brown kris-brown commented Jun 24, 2021

This is a work in progress. It contains a combinatorial representation of Finite Limit Sketches (and a Julia data structure, LabeledFLS, to allow interacting with the FLS via LabeledGraphs which are much easier to interpret). Many example sketches are given in tests. Furthermore, we can take a Presentation and convert it to a Linear Sketch (a FLS without any cones) and do things such as check whether the equations hold.

The main way FLS are used here is to enumerate their models, which is currently treated as a constraint satisfaction problem in C-Rel (each C-Rel instance can be thought of as a collection of possible models; there are many possible foreign keys for a given primary key) rather than C-Set.

This is just a draft because it was written just to get something that works at all, whereas making things more organized/cleaner/efficient will be in the future. Sharing for anyone curious and would appreciate suggestions / radical changes to be made.

Caveat: this depends on CSet-automorphism code which hasn't yet been merged into master, so we should be careful about that dependency/duplication. It also includes GATmatch code which is not relevant and should be moved to its own branch. The only relevant files are in src/sketches/ and test/sketches/

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Made redundant by sketched CSets

@kris-brown kris-brown closed this Aug 25, 2021
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