ex1 5

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• Type: sml
• Size: 1003 B

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Functional Programming
└── Lab ML
    └── 0​404
        └── ex1 5.sml

---

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(*
Consider the following definitions

fun f(nil)= nil
| f([x])= [x]
| f(x::y::zs) = [x,y];

fun g(x,y) = (f(x),f(y));

fun h(x,y) =
    let
        val v = f(nil)
    in
        (x::v, y::v)
    end
;

Are the following expressions legal?

• g([1,2,3],["a"])
• g([1,2,3],nil)
• g([f,f],[1])
• g([1],[1.0])

• h(1,2)
• h(1,"a")
• h(nil,nil)
• h([1],nil)
*)

g([1,2,3],["a"]);
(*val it = ([1,2],["a"]): int list * string list*)

g([1,2,3],nil);
(*warning: The type of (it) contains a free type variable.*)

g([f,f],[1]);
(*warning: The type of (it) contains a free type variable*)

g([1],[1.0]);
(*val it = ([1],[1.0]): int list * real list*)

h(1,2);
(*val it = ([1],[2]): int list * int list*)

h(1,"a");
(*
error: Type error in function application.
    Function: h : int * int -> int list * int list
    Argument: (1, "a") : int * string
*)

h(nil,nil);
(*warning: The type of (it) contains a free type variable*)

h([1],nil);
(*val it = ([[1]], [[]]): int list list * int list list*)