|Version 1 (modified by 6 years ago) (diff),|
We use a family of singleton types to related type-level naturals to runtime values.
In our design, we chose to provide an overloaded "smart" constructor and a polymorphic elimination construct:
newtype Nat (n :: Nat) = Nat Integer class NatI n where nat :: NatI n instance NatI 0 where nat = Nat 0 instance NatI 1 where nat = Nat 1 ... natToInteger :: Nat n -> Integer natToInteger (Nat n) n = n
It is also possible to make the dual choice, where we provide a polymorphic constructor and an overloaded elimination construct:
data Nat (n :: Nat) = Nat class NatE n where natToInteger :: Nat n -> Integer instance NatE 0 where natToInteger Nat = 0 instance NatE 1 where natToInteger Nat = 1 ...