In my opinion, interface has a broader meaning than the one commonly associated with it in Java. I would define "interface" as a set of available operations with some common functionality, that allow controlling/monitoring a module.
In this definition I try to cover both programatic interfaces, where the client is some module, and human interfaces (GUI for example).
As others already said, an interface always has some contract behind it, in terms of inputs and outputs. The interface does not promise anything about the "how" of the operations; it only guarantees some properties of the outcome, given the current state, the selected operation and its parameters.