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Work-in-progress functional dependently typed programming language

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System dependencies

  1. For the interpreter:
  1. For the compiler:

Example source

Unit : Type;
Unit = {:unit};

unit : Unit;
unit = :unit;

List : Type -> Type;
List = A =>
  (label: {:null, :cons}) * match label {
    :null = Unit;
    :cons = A * List A;
  };

null : (A: Type) -> List A;
null = A => (:null, unit);

cons : (A: Type) -> A -> List A -> List A;
cons = A => a => rest => (:cons, a, rest);

fold : (A: Type) -> (B: Type) -> (B -> A -> B) -> B -> List A -> B;
fold = A => B => action => initial => list =>
  let (label, list) = list;

  match label {
    :null = initial;

    :cons =
      let (value, rest) = list;
      fold A B action (action initial value) rest;
  };

Nat : Type;
Nat =
  (label: {:zero, :succ}) * match label {
    :zero = Unit;
    :succ = Nat;
  };

zero : Nat;
zero = (:zero, unit);

succ : Nat -> Nat;
succ = value => (:succ, value);

add : Nat -> Nat -> Nat;
add = one => other =>
  let (label, one) = one;

  match label {
    :zero = other;
    :succ = succ (add one other);
  };

one : Nat;
one = succ zero;

two : Nat;
two = succ one;

three : Nat;
three = succ two;

nat_list : List Nat;
nat_list = cons Nat one (cons Nat two (cons Nat three (null Nat)));

folded_nat_list : Nat;
folded_nat_list = fold Nat Nat add zero nat_list;

to_int32 : Nat -> Int32;
to_int32 = value =>
  let (label, value) = value;

  match label {
    :zero = 0;
    :succ = +i 1 (to_int32 value);
  };

start : Int32;
start = to_int32 folded_nat_list;

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Work-in-progress functional dependently typed programming language

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