A temporal dynamic deontic logic

Abstract

This paper presents a formalization of refraining from actions and a deontic logic based on a process logic. The notion of refraining is needed to handle obligated actions. To refrain to do an action is to do something else. The process logic used is a mix of dynamic logic and temporal logic: actions in it are interpreted as sets of paths and temporal formulas describe the process of performing actions. The deontic logic has a temporal propositional constant saying that a bad thing will be done in the next moment. Normative properties of actions can be defined according to what happens in the process of performing actions.