Modeling Belief in Dynamic Systems, Part I: Foundations

Details Modeling Belief in Dynamic Systems, Part I: Foundations Modeling Belief in Dynamic Systems, Part I: Foundations

2003-07-30

arxiv.org/abs/cs/0307070v1

Aritificial Intelligence 95:2, 1997, pp. 257-316

Computer Science

Artificial Intelligence

Scientific paper

Belief change is a fundamental problem in AI: Agents constantly have to update their beliefs to accommodate new observations. In recent years, there has been much work on axiomatic characterizations of belief change. We claim that a better understanding of belief change can be gained from examining appropriate semantic models. In this paper we propose a general framework in which to model belief change. We begin by defining belief in terms of knowledge and plausibility: an agent believes p if he knows that p is more plausible than its negation. We then consider some properties defining the interaction between knowledge and plausibility, and show how these properties affect the properties of belief. In particular, we show that by assuming two of the most natural properties, belief becomes a KD45 operator. Finally, we add time to the picture. This gives us a framework in which we can talk about knowledge, plausibility (and hence belief), and time, which extends the framework of Halpern and Fagin for modeling knowledge in multi-agent systems. We then examine the problem of ``minimal change''. This notion can be captured by using prior plausibilities, an analogue to prior probabilities, which can be updated by ``conditioning''. We show by example that conditioning on a plausibility measure can capture many scenarios of interest. In a companion paper, we show how the two best-studied scenarios of belief change, belief revisionand belief update, fit into our framework.

Affiliated with

Also associated with

No associations

Rating

Modeling Belief in Dynamic Systems, Part I: Foundations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modeling Belief in Dynamic Systems, Part I: Foundations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modeling Belief in Dynamic Systems, Part I: Foundations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333531