Look no further:

Unification of higher-order patterns in a simply typed lambda-calculus 
with finite products and terminal type

Roland Fettig und Bernd Löchner

http://www.springerlink.com/content/f5q267h680201388/

AFAIK, it has never received much attention, which is a pity.

Tobias

Am 24/02/2011 17:47, schrieb Rob Arthan:
> Can anyone give me any pointers to extensions of the Miller/Nipkow
> algorithms for higher-order unification and matching for linear patterns
> to work modulo pairing and projection? I.e., if I am doing matching, I
> want `p(x, y)` to be a valid pattern and I want `\z.(FST z, SND z)` to
> be an instance of `\(x, y).p(y, x)` under the substitution [`\(x, y).(y,
> x)` / `p`].
>
> Regards,
>
> Rob.
>
>
>
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