Does Mathematica use first-order or second-order unification?

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Does Mathematica use first order or second order order unification?

When Mathematica is pattern-matching expressions, does it use first order or second order unification. Just to clarify the difference between first order and second order unification: In Second order unification, it is possible to replace a pattern variable with a function: When the expression 3+3 or Plus[3,3] is matched with the pattern f[3], the matching succeeds and f is bound to Plus[#, #]& or Plus[3, #]&.

Answer:

I am not an expert in the field, but ... According to Roman Maeder (and he is an expert): The process...

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user1176201 at Mathematica Mark as irrelevant Undo

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