object callccInterpreter { def id[a](x: a) = x type Answer = Value; case class M[A](in: (A => Answer) => Answer) { def bind[B](k: A => M[B]) = M[B](c => in (a => k(a) in c)); def map[B](f: A => B): M[B] = bind(x => unitM(f(x))); def flatMap[B](f: A => M[B]): M[B] = bind(f); } def unitM[A](a: A) = M[A](c => c(a)); def showM(m: M[Value]): String = (m in id).toString(); def callCC[A](h: (A => M[A]) => M[A]) = M[A](c => h(a => M[A](d => c(a))) in c); type Name = String; trait Term; case class Var(x: Name) extends Term; case class Con(n: Int) extends Term; case class Add(l: Term, r: Term) extends Term; case class Lam(x: Name, body: Term) extends Term; case class App(fun: Term, arg: Term) extends Term; case class Ccc(x: Name, t: Term) extends Term; trait Value; case object Wrong extends Value { override def toString() = "wrong" } case class Num(n: Int) extends Value { override def toString() = n.toString(); } case class Fun(f: Value => M[Value]) extends Value { override def toString() = "" } type Environment = List[Pair[Name, Value]]; def lookup(x: Name, e: Environment): M[Value] = e match { case List() => unitM(Wrong) case Pair(y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) } def add(a: Value, b: Value): M[Value] = Pair(a, b) match { case Pair(Num(m), Num(n)) => unitM(Num(m + n)) case _ => unitM(Wrong) } def apply(a: Value, b: Value): M[Value] = a match { case Fun(k) => k(b) case _ => unitM(Wrong) } def interp(t: Term, e: Environment): M[Value] = t match { case Var(x) => lookup(x, e) case Con(n) => unitM(Num(n)) case Add(l, r) => for (a <- interp(l, e); b <- interp(r, e); c <- add(a, b)) yield c case Lam(x, t) => unitM(Fun(a => interp(t, Pair(x, a) :: e))) case App(f, t) => for (a <- interp(f, e); b <- interp(t, e); c <- apply(a, b)) yield c case Ccc(x, t) => callCC(k => interp(t, Pair(x, Fun(k)) :: e)) } def test(t: Term): String = showM(interp(t, List())); val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); val term1 = App(Con(1), Con(2)); val term2 = Add(Con(1), Ccc("k", Add(Con(2), App(Var("k"), Con(4))))); def main(args: Array[String]) = { System.out.println(test(term0)); System.out.println(test(term1)); System.out.println(test(term2)); } }