PHP Interface: Specify ANY visibility
Methods you declare in Interfaces should be public. You define a contract with an interface. Any non-public methods would be implementation details and those do not belong into an Interface. As the name implies implementation details should go into the concrete classes implementing the interface.
From Wikipedia:
Programming to the interface
The use of interfaces allows a programming style called programming to the interface. The idea behind this is to base programming logic on the interfaces of the objects used rather than on internal implementation details. Programming to the interface reduces dependency on implementation specifics and makes code more reusable.[7] It gives the programmer the ability to later change the behavior of the system by simply swapping the object used with another implementing the same interface.