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Subtype problem
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Date: | 1998-06-04 (17:28) |
From: | Hendrik Tews <tews@t...> |
Subject: | Re: co(ntra)-variant subtyping |
Hi, Didier Remy asked me for examples where the missing subtype rule for Adt's is a problem ... 1. Assume you have windows, which allow you to ask for their children: class window : 'a = ... method children : 'a list end Now you can have a special kind of windows, which have special children as well: class transient_window : 'a = ... method children : 'a list end Now transient_window is not a subtype of window. 2. You can implement an automaton by modeling the states as objects : class automaton : 'a = ... method successor_state : 'a option end Again it is not possible to built a subtype of an automaton. Didier Remy writes: Still, Objective Caml allows subtyping because they are a few situations when it is convenient. Typically, when storing a collection of objects of different subclasses of a common parent class into a bag. Then, only the operations of the parent class can be directly invoked on the objects of the collection. Right. And you might use an Adt like the builtin lists for this bag. But then a list of colored points can not be appended to a list of points. In fact, there is no real difficulty to allow subtyping through user-declared type constructors. However, when types are abstract (e.g. in module interfaces) the user would need to declare the variances of the constructors in their arguments. This is actually more than I asked. For my application if would suffice if subtyping rules exist only for non-abstract types ie. variant and record types. There is no new syntax necessary for this, only a variance checker. We did not want to add yet another notion in the language, and therefore we prefered to make all non-primitive type constructors non variant. I see. And what about an optional variance syntax, just for those how want covariant lists? Bye, Hendrik