Abstract :
[en] This work has two main goals, on the one side it ex- plores the nature of explainability in the attempt to clar- ify the ambiguous use of this concept and how eXplain- able AI (XAI) methods fit into this concept. On the other side, the work describes the legal framework which cur- rently regulates explainability of automated decisions in the context of the European administration, showing to what extent a selection of famous XAI methods meets the requirements of such legal framework.