Test if all methods of a Remote interface throw RemoteException

When working with RMI (Remote Method Invocation), it is required for all methods defined in interfaces extending Remote to contain RemoteException in their throws clause.

For example, see the following Computing interface from this RMI tutorial.

public interface Compute extends Remote {
    <T> T executeTask(Task<T> t) throws RemoteException;
}

The problem is that the compiler does not check if the methods are defined correctly, instead an exception is thrown during the execution when the program encounters a method in a Remote interface that does not throw RemoteException.

It would be much better if such problems were discovered before the program is actually run. How can one write a test for that condition?