I think you're solving a problem that doesn't exist. Java needs interfaces because it has no multiple inheritance. In Perl, you can just make a class that shows the abstract interface, and have everything that implements that interface inherit from it. You don't even need to put anything in the interface class. It can be totally abstract, or it can implement the methods by throwing an error that says "you were supposed to implement this in your class" as I've seen Damian Conway suggest.
I also agree with castaway that your example doesn't really make sense. An Airport that contains an Arcade does not implement the Arcade interface itself, so of course it won't inherit from Arcade.