Prepositional quantifiers in deontic logic

Abstract

Several systems of monadic deontic logic are defined in terms of systems of alethic modal logic with a propositional constant. When the universal propositional quantifier is added to these systems, the propositional constant becomes definable in terms of the deontic operator. As a result, the meaning of this constant becomes clearer and it becomes easy to axiomatize the deontic fragments of the alethic modal systems. © Springer-Verlag Berlin Heidelberg 2006.