Can two Java interfaces be mutually exclusive?

I have two interfaces that should be excluded:

interface Animal{}
interface Cat extends Animal{}
interface Bird extends Animal{}

How to prevent classes that implement cat and bird interfaces?

class Impossible implements Cat,Bird{}

Solution

Here you have a clear hierarchy - a root with branches, and a node (class, interface, anything) cannot be on multiple branches To achieve this, use abstract classes instead of interfaces

Interfaces can be used when some cross - cutting aspects can be shared between any class in the hierarchy and no two interfaces are mutually exclusive

Example:

public abstract class Animal;
public interface CanFly;
public interface CanHunt;
public abstract class Cat extends Animal implements CanHunt;
public abstract class Bird extends Animal implements CanFly;
public class Vulture extends Bird implements CanHunt; //also CanFly because of Bird

At least one person has considered this issue: http://instantbadger.blogspot.co.uk/2006/10/mutually-exclusive-interfaces.html