Possible Controllability of Control Argumentation Frameworks -- Extended
  Version
  The recent Control Argumentation Framework (CAF) is a generalization of
Dung's Argumentation Framework which handles argumentation dynamics under
uncertainty; especially it can be used to model the behavior of an agent which
can anticipate future changes in the environment. Here we provide new insights
on this model by defining the notion of possible controllability of a CAF. We
study the complexity of this new form of reasoning for the four classical
semantics, and we provide a logical encoding for reasoning with this framework.
