Tags:Automated reasoning, Classical higher-order logic, Dyadic deontic logic E, Preference models and Semantic embedding
Abstract:
We devise a shallow semantical embedding of \AA{}qvist's dyadic deontic logic {\bf E} 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.