Am 27.11.2014 um 16:47 schrieb Matthew Rocklin:
- Is there need for nonlinear patterns? I plan to account for them, but
they make the algorithm a bit more complicated. Nonlinear, AC pattern
matching is NP complete. Linear AC pattern matches can be found in
polynomial time.

I haven't thought much about this.  Is X*X.T non-linear?

From other mentions of "linear" and "nonlinear", I infer that patterns with multiple occurrences of the same symbol are always nonlinear.

Might have to do with the fact that to check whether such a pattern matches, you have to traverse the entire subtrees that you'd want to match with X and see whether the subtrees are the same.

IIRC from my university time, matching nonlinear patterns like the above is one of the key ingredients that makes a Prolog interpreter Turing-complete.

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