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One of the easiest ways to build a partial implementation of an object is to qualify the implementation of the object by a number of function parameters that complete the implementation. For example, the following code defines an object interface type called ITextOutputSink, a partial implementation of that type called simpleOutputSink, and a function called simpleOutputSink that acts as a partial implementation of that type. The remainder of the implementation is provided by a function parameter called writeCharFunction.

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It would make no sense to give empties the truly generic type 'a list [], because this would imply that you ve created an array of lists somehow suitable for use with any type 'a In reality, any particular array should have one specific type, such as int list [] or string list [], but not both (If it were usable with both types, then you could store an integer list in the array and fetch it out as a string list!) The value restriction ensures that declarations don t result in this kind of confusion; automatic generalization isn t applied to declarations unless they re functions or simple, immutable data constructs.

type ITextOutputSink = abstract WriteChar : char -> unit abstract WriteString : string -> unit let simpleOutputSink(writeCharFunction) = { new ITextOutputSink with member x.WriteChar(c) = writeCharFunction(c) member x.WriteString(s) = s |> String.iter x.WriteChar } This construction function uses function values to build an object of a given shape. Here the inferred type is as follows:

One way to think of this is that you can create concrete objects only after the type-inference problem is sufficiently constrained so that every concrete object created at the top level of your program has a ground type a type that doesn t contain any ungeneralized type variables The value restriction doesn t apply to simple immutable data constants or function definitions For example, the following declarations are all automatically generalized, giving the generic types shown: let let let let val val val val emptyList = [] initialLists = ([],[2]) listOfEmptyLists = [[];[]] makeArray () = Arraycreate 100 [] emptyList : 'a list initialLists : ('a list * int list) listOfEmptyLists : 'a list list makeArray : unit -> 'a list [].

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In the following code, we instantiate the function parameter to output the characters to a particular System.Text.StringBuilder object, an imperative type for accumulating characters in a buffer before converting these to an immutable System.String value: open System.Text let stringBuilderOuputSink (buf : StringBuilder ) = simpleOutputSink (fun c -> buf.Append(c) |> ignore) Here is an example of the use of this function interactively: > let buf = new System.Text.StringBuilder();; val buf : StringBuilder > let c = stringBuilderOuputSink(buf);; val c : ITextOutputSink > ["Incy"; " "; "Wincy"; " "; "Spider"] |> List.iter c.WriteString;; val it : unit = () > buf.ToString();; val it : string = "Incy Wincy Spider" Object expressions must still give definitions for all unimplemented abstract members and cannot add other additional members; however, the abstract members can be implemented in terms of function parameters. As you saw in 3, function parameters can represent a wide range of concepts, so this technique is a powerful one. You can also use function parameters to qualify concrete types that implement object interface types. For example, here is a type CountingOutputSink that performs effectively the same role as the earlier function simpleOutputSink, except that the number of characters written to the sink is recorded and published as a property:

The value restriction crops up with mild regularity in F# coding particularly when you re using F# Interactive, where the scope of type inference is at the granularity of each entry sent to the tool rather than an entire file and hence fewer constraints are placed on these code fragments. You can work around the value restriction in several ways, depending on what you re trying to do.

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