cons operator (::) in F#

As others said, there is no such operator, because it wouldn’t make much sense. I actually think that this is a good thing, because it makes it easier to realize that the operation will not be efficient. In practice, you shouldn’t need the operator – there is usually a better way to write the same thing.

Typical scenario: I think that the typical scenario where you could think that you need to append elements to the end is so common that it may be useful to describe it.

Adding elements to the end seems necessary when you’re writing a tail-recursive version of a function using the accumulator parameter. For example a (inefficient) implementation of filter function for lists would look like this:

let filter f l = 
  let rec filterUtil acc l =
    match l with 
    | [] -> acc
    | x::xs when f x -> filterUtil (acc @ [x]) xs
    | x::xs -> filterUtil acc xs
  filterUtil [] l

In each step, we need to append one element to the accumulator (which stores elements to be returned as the result). This code can be easily modified to use the :: operator instead of appending elements to the end of the acc list:

let filter f l = 
  let rec filterUtil acc l =
    match l with 
    | [] -> List.rev acc                        // (1)
    | x::xs when f x -> filterUtil (x::acc) xs  // (2)
    | x::xs -> filterUtil acc xs
  filterUtil [] l

In (2), we’re now adding elements to the front of the accumulator and when the function is about to return the result, we reverse the list (1), which is a lot more efficient than appending elements one by one.