On Tue, 28 May 2013, Tobias Nipkow wrote:

Am 28/05/2013 13:34, schrieb Lawrence Paulson:
Historical note: when the original high-order unification code was written, 
there was no user-level polymorphism. If my memory is correct, the TVar 
constructor did not even exist. Polymorphism was only used for type inference 
in terms.

correct. i added that part of the code in about 1990. of course i never proved anything about it.

The complexity of the implementation is one thing, but how about the algorithmic ideas?

Is "Huet + schematic polymorphism" and "Miller + schematic polymorphism" sufficiently well-understood to make a nice formalization from that? Lets say with the de-Bruijn toolbox that Stefan had in his entry to POPLmark (which has the advantage that it is close to what is actually done in Isabelle/ML, unlike Nominal datatypes).


        Makarius
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