Martin Sulzmann [EMAIL PROTECTED] writes:
- There's a class of MPTC/FD programs which enjoy sound, complete
and decidable type inference. See Result 1 below. I believe that
hugs and ghc faithfully implement this class.
Unfortunately, for advanced type class acrobats this class of
programs is too restrictive.
Not just them: monad transformers also fall foul of these restrictions.
The restrictions can be relaxed to accomodate them (as you do with the
Zip class), but the rules become more complicated.
Result2:
Assuming we can guarantee termination, then type inference
is complete if we can satisfy
- the Bound Variable Condition,
- the Weak Coverage Condition,
- the Consistency Condition, and
- and FDs are full.
Effectively, the above says that type inference is sound,
complete but semi-decidable. That is, we're complete
if each each inference goal terminates.
I think that this is a little stronger than Theorem 2 from the paper,
which assumes that the CHR derived from the instances is terminating.
If termination is obtained via a depth limit (as in hugs -98 and ghc
-fallow-undecidable-instances), it is conceivable that for a particular
goal, one strategy might run into the limit and fail, while a different
strategy might reach success in fewer steps.
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