recursion - Why won't my computer let me greet my customers?

Question

I am writing an application to replace our technical support department. When a customer needs technical support, we will simply mail him a floppy disk containing this application, which he can simply put into his computer hole and install it. They just type in their problem and the program will output the solution.

I tried writing it in F#, but F# doesn't like it. I wrote this simple recursive function that shows a greeting message to the customer, but F# tells me "no, this code is bad". I'm quite confident that my code is good, and can't figure out why F# thinks it's so bad.

This is my code:

open System

let rec GreetCustomer message =
    let DisplayMessage message =
        Console.WriteLine(message + " " : string) |> ignore
        GreetCustomer
    DisplayMessage(x)

Console.WriteLine("Please do the needful by telling us your name?");
let CustomerName = Console.ReadLine()

GreetCustomer("Hello,")(CustomerName)("!")("How")("to")("help")("you")("today?")

and F# tells me

Type mismatch. Expecting a 'a but given a 'b -> 'a The resulting type would be infinite when unifying ''a' and ''b -> 'a'

Of course the resulting type is infinite. I want to be able to chain the method calls up to an infinite number of times. I don't understand why F# doesn't like infinite types; I can write the same program in Javascript without any issues:

GreetCustomer = function(message) {
  DisplayMessage = function(message) {
    document.write(message + " ");
    return GreetCustomer; 
  };
  return DisplayMessage(message); 
};

CustomerName = prompt("Please do the needful by telling us your name?");

GreetCustomer("Hello,")(CustomerName)("!")("How")("to")("help")("you")("today?");

and it has exactly the output I want:

Hello, Peter ! How to help you today?

If it works in Javascript, surely there must be a way to do it in F#.

How can I fix my F# program so that it won't complain about infinite types?

Answer 1

The question I linked in the comments elaborates on this extensively. There are ways to do this in F#, but none will give you the syntax you want. The following answers are about as good as it gets.

https://stackoverflow.com/questions/2679547/function-which-returns-itself/2684005#2684005
https://stackoverflow.com/questions/2679547/function-which-returns-itself/2679578#2679578

In short, this is a limitation of type inference. As the compiler complains, the type of a function which returns itself cannot be solved; it's infinite.

EDIT

This is my preferred workaround (combining answers from the question I linked):

type Inf<'T> = delegate of 'T -> Inf<'T>

let rec makeInfinite f = 
  fun x -> 
    f x |> ignore
    Inf(makeInfinite f)

let (+>) (inf:Inf<_>) arg = inf.Invoke(arg)

let GreetCustomer = makeInfinite (printf "%s")

GreetCustomer "Hello " +> "there, " +> "how " +> "are " +> "you?" |> ignore