|Version 3 (modified by dreixel, 12 months ago)|
Defining kinds without an associated datatype
When using -XDataKinds GHC automatically promotes every datatype to a kind, and its constructors to types. This forces us to declare a datatype for every kind. However, sometimes we are not interested in the datatype at all, only on the kind. Consider the following data kind that defines a small universe for generic programming:
data Universe star = Sum Universe Universe | Prod Universe Universe | K star
This universe comes with an associated interpretation:
data Interpretation :: Universe * -> * where L :: Interpretation a -> Interpretation (Sum a b) R :: Interpretation b -> Interpretation (Sum a b) Prod :: Interpretation a -> Interpretation b -> Interpretation (Prod a b) K :: a -> Interpretation (K a)
In this case, having to declare a datatype for Universe has two disadvantages:
- We lose constructor name space, because the datatype constructor names will be taken, even though we will never use them. So Prod and K cannot be used as constructors of Interpretation as above, because those are also constructors of Universe.
- We cannot use kinds (such as *) while defining a datatype, so we are forced to make Universe a parametrised datatype, and later always instantiate this parameter to * (like in the kind of Interpretation).
Proposal: allow defining kinds directly, as in the following example:
data kind Universe = Sum Universe Universe | Prod Universe Universe | K *
By using data kind, we tell GHC that we are only interested in the Universe kind, and not the datatype. Consequently, Sum, Prod, and K will be types only, and not constructors.
- data kind K ...
- Allow * on data kinds? Or maybe Type, or Star.
- Perhaps also data type D ...
- Promote type synonyms by default
- What about type kind K1 = K2?
- Even worse: type type T1 = T2...