Hypergraph Semantics for Belief Logics

This paper introduces a novel semantics for doxastic logics (logics of belief) using directed hypergraphs. It addresses a limitation of existing simplicial models, which primarily focus on knowledge. The use of hypergraphs allows for modeling belief, including consistent and introspective belief, and provides a bridge between Kripke models and the new hypergraph models. This is significant because it offers a new mathematical framework for representing and reasoning about belief in distributed systems, potentially improving the modeling of agent behavior.