Multiple Selective Revision

Abstract

One of AGM revision’s main properties is success, which guarantees that new information is always accepted by a rational agent, even when it has to give up a reasonable belief previously held. However, in more realistic scenarios, when dealing with a new belief that contradicts previous ones, an agent has the option to reject it. Selective Revision, then, came up as a third possibility, allowing the agent to accept only part of a new belief. Selective Revision was initially defined for single sentences as inputs but, in many situations, new pieces of information come simultaneously (a set of beliefs). This paper proposes a generalization of Selective Revision to the multiple case for both belief sets (theories) and belief bases. We provide constructions, postulates and representation theorems for different classes of Multiple Selective Revision