Multiple Revision on Horn Belief Bases

Abstract

In logic programming, Horn clauses play a basic role, and in many logical constructs their consideration is important. In this paper we study the multiple revision of a belief base where the underlying logic is composed by Horn clauses. The main di culties as to restricting to the Horn fragment for revision operators by a single sentence are analyzed, and general results are presented about multiple revision operators on belief bases. We de ne prioritized multiple revision operators under a more restricted logic than classical propositional logic, i.e. Horn logic. We propose a set of postulates and representation theorems for each operation. This work is relevant for multiple revision in areas that employ Horn clauses, such as logic programming and deductive databases applications.