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About harder and easier to satisfy, the question of how the rate at which the algorithm runs into contradictions depends on the input is not easy at all. There is no simple correlations between the contradiction rate and the size of the input.

But the first thing you'll notice if you feed it an image with a lot of patterns, is that it will work very slowly.

Yeah, the corpus thing can be done if we cut out rare patterns and leave only frequent ones. I haven't tried it though.



I wonder if it would be interesting to purposely search for tilesets that maximize contradiction rate. What would those things look like?


A very good question! The opposite of it is also important, can we follow some heuristics while creating tilesets to minimize contradiction rates, but not making tilesets easy? I don't know. If someone knows please tell me.


Hmm, this possibly relates to sheaf theory. Robert Ghrist has a good book about this stuff (applied topology) if you want to check it out.




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