Thanks for your detailed input -- I appreciate seeing these rather
abstract techniques being applied to specific problems.

Tom Nielsen pointed me in the direction of the solution you've
supplied, so I should have replied to the list that my question had
been addressed.  Anyhow, I now have code that looks a little like:

> class DummySolidObject flag o
> class SolidObject o
>
> instance FiniteSolidObject o => DummySolidObject Dummy1 o
> instance InfiniteSolidObject o => DummySolidObject Dummy2 o
> instance DummySolidObject d o => SolidObject o
>
> data Dummy1
> data Dummy2

Thanks,
Eric
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