On 18 Apr 2008, at 20:04, Martin Sulzmann wrote:

Let's consider our running example

class D a b | a -> b
instance D a b => D [a] [b]

which we can write in CHR notation

D a b, D a c ==> b=c    (FD)

D [a] [b] <=> D a b       (Inst)

These rules overlap.

I experimented with translations into GNU Prolog (gprolog). Since "=" is hard to get working in Prolog unless integrated into unification, I tried (using the idea of rewriting unique existence as functions, possible if one assumes the axiom of choice):
  class(d, A, b(A)).
  instance(d, l(A), l(B)) :- class(d, A, B).
Then:
  ?- instance(d, l(A), l(B)).
  B = b(A)

  ?- instance(d, l(A), C).
  C = l(b(A))

  ?- instance(d, l(A), l(B)), instance(d, l(A), C).
  B = b(A)
  C = l(b(A))
Though I am not sure about the intended semantics, it does produce unique solutions.

  Hans


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