Consider the process of typing a method call: e.m(f1,f2).

- First we synthesize a type for e, call it sigma.
- Next we generate a set, call it CMG, of all the candidate methods, i.e. the methods called m in sigma and its supertypes.
- Now we need to discover which one of these candidates are applicable: this amounts to checking that they have the same number of arguments as supplied (in this case 2), checking the modes (to handle ref parameters), checking that the arguments f1, f2 can be implicitly converted to the candidate argument types(*). [I'm ignoring generics here. If the method is generic and the call does not provide an explicit type argument list, then we need to use type inference to infer the type argument list]
- Finally we take this set and determine if there is a best method signature. [This is the heart of overloading resolution.]

**Or that's what I thought happens**! It turns out the last step is not strictly speaking true!!! It should be:

- Finally we take this set and
**the argument list**and determine if there is a best method signature.

The problem arises because C# lets you define your own (cyclic) implicit conversions. Imagine we have two classes X and Y (that are not subtype related) but we define implicit conversions in both directions. Then imagine we have overloaded methods:

static void m(X x)

{

Console.WriteLine("Picked Program::m1");

}

static void m(Y y)

{

Console.WriteLine("Picked Program::m2");

}

and the code:

X x = null;m(x);

C# picks the first "m" method because its the best match for the argument

*given that we know that argument of static type X.*So overloading resolution needs to use this static type. As not every expression can synthesize a type, we have to pass the argument itself. If we had just considered the type signatures of the method m (i.e., X -> void and Y -> void) then neither would have been better and we would have rejected this call as ambiguous. Ha!

I'm currently extending our ooPSLA paper into a journal version. Part of this is formalizing the overloading process in C#. (It has been extended for C# 3.0 - it treats delegate types in/co-variantly.) Hence why I tripped over this.

(*) For some reason in the camera-ready copy this type check got missed out! Sorry - it was in the submitted version - I must have been too enthusiastic with my CTRL-ks when preparing the camera-ready copy :-(

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