Åqvist's Dyadic Deontic Logic E in HOL

Abstract

We devise a shallow semantical embedding of Åqvist's dyadic deontic logic <strong>E</strong>&nbsp;in classical higher-order logic. This embedding is encoded in Isabelle/HOL, which turns this system into a proof assistant for deontic logic reasoning. The experiments with this environment provide evidence that this logic \textit{implementation} fruitfully enables interactive and automated reasoning at the meta-level and the object-level.