An implementation of the Hindley-Milner type checking algorithm based on the Python code by Robert Smallshire, the Scala code by Andrew Forrest, the Perl code by Nikita Borisov, and the paper "Basic Polymorphic Typechecking" by Cardelli.
Interestingly, this implementation makes extensive use of boost::variant
and boost::apply_visitor
.
Build the demo program with:
$ scons
Run the demo program with:
$ ./demo
(letrec factorial = (fn n => (((cond (zero n)) 1) ((times n) (factorial (pred n))))) in (factorial 5)) : int
(fn x => ((pair (x 3)) (x true))) : type mismatch: bool != int
((pair (f 4)) (f true)) : Undefined symbol f
(let f = (fn x => x) in ((pair (f 4)) (f true))) : (int * bool)
(fn f => (f f)) : recursive unification: a in (a -> b)
(let g = (fn f => 5) in (g g)) : int
(fn g => (let f = (fn x => g) in ((pair (f 3)) (f true)))) : (a -> (a * a))
(fn f => (fn g => (fn arg => (g (f arg))))) : ((a -> b) -> ((b -> c) -> (a -> c)))
(fn f => (f 5)) : ((int -> a) -> a)
((fn y => (y 1)) (fn x => 1)) : int