Obligations with deadlines: a formalization in Dynamic Deontic Logic

Abstract

Segerberg’s Dynamic Deontic Logic is a dynamic logic where among the set of all possible histories those fulfilling the norms are distinguished. An extension of this logic to obligations (respectively permissions and prohibitions) to do an action before a given deadline or during a given time interval is defined. These temporal constraints are defined by events which may have several occurrences (like the obligation to update a given file before midnight). Violations of these kinds of norms are defined in this logical framework.