Function Returns "No Solution" Instead Of "Nothing"
I have a standard datatype representing formulae of predicate logic. A function representing a natural deduction elimination rule for disjunction might look like:
d_el p q =
if p =: (Dis r s) && q =: (Neg r) then Just s else
if q =: (Dis r s) && p =: (Neg r) then Just s else
Nothing where r,s free
x =: y = (x =:= y) == success
Instead of evaluating to Nothing when unification fails, the function returns no solutions in PACKS
:
logic> d_el (Dis Bot Top) (Not Bot)
Result: Just Top
More S开发者_开发问答olutions? [Y(es)/n(o)/a(ll)] n
logic> d_el (Dis Bot Top) (Not Top)
No more solutions.
What am I missing, and why doesn't el
evaluate to Nothing
when unification fails?
It seems that this is not the best way to use equational constraints. When a =:= b
fails then complete function clause fails also.
E.g.:
xx x = if (x =:= 5) == success then 1 else x
xx x = 3
Evaluating xx 7
results in 3
(not 7
) because 7 =:= 5
completely terminates first clause of the xx
function.
I think the code should look like this:
d_el p q = case (p,q) of
(Dis a s, Neg b) -> if a == b then Just s else Nothing
(Neg a, Dis b s) -> if a == b then Just s else Nothing
_ -> Nothing
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