We aim at providing artificial agents with logical tools to reason specifically on privacy-related regulations, in order to comply with them. In order to express these regulations, we propose a deontic and temporal logic based on predicates dealing with personal data management. Using an example, we show the need for specific operators to express obligations with deadlines and maintained interdictions. We define a set of eight specific requirements for such operators, we evaluate the existing proposals with respect to these requirements and we adapt our own ones, to better suit to our formalism.