Suggested Homework #3
Suggested Homework #4 (for Quiz #4 on 10/29/06)
Problem 1:
Suppose that the following list of bindings was entered into the OCaml interpreter
in the sequence shown. For each binding, write down :
(a) If the expression is accepted, the value bound ("fun" for functions) and its type,
(b) If the expression is rejected due to a type error, "type error",
(c) If the expression is rejected due to an unbound variable, the name of the variable that is
not bound. Recall that if a type error occurs, then the variable binding does not happen. Check
your answers by entering this sequence into the interpreter.
 let foo (f,g) = fun x > (f x,g x);;
 let a = (foo (fun x > x*x, fun x > [x])) 4;;
 let b = (foo (fun x > ~x, fun x > 0::x)) (4,[4]);;
 let bar (f,a) = fun b > f (a,b);;
 let sum (a,b) = a+b;;
 let c = (bar (sum,1));;
 let d = c 2;;
 let f = (bar (bar,bar)) sum;;
 let g = f 4;;
 let h = g 4;;
 let i = h 4;;
 let j = i 4;;
Problem 2:
In each part below you are required to complete the
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 Fall '06
 Jhala
 Expression, Free variables and bound variables, type Error

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