Distributed Autoepistemic Logic: Semantics, Complexity, and Applications to Access Control (2306.02774v1)

Abstract: In this paper we define and study a multi-agent extension of autoepistemic logic (AEL) called distributed autoepistemic logic (dAEL). We define the semantics of dAEL using approximation fixpoint theory, an abstract algebraic framework that unifies different knowledge representation formalisms by describing their semantics as fixpoints of semantic operators. We define 2- and 3-valued semantic operators for dAEL. Using these operators, approximation fixpoint theory allows us to define a class of semantics for dAEL, each based on different intuitions that are well-studied in the context of AEL. We define a mapping from dAEL to AEL and identify the conditions under which the mapping preserves semantics, and furthermore argue that when it does not, the dAEL semantics is more desirable than the AEL-induced semantics since dAEL manages to contain inconsistencies. The development of dAEL has been motivated by an application in the domain of access control. We explain how dAEL can be fruitfully applied to this domain and discuss how well-suited the different semantics are for the application in access control.