Belief Change

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Belief change is an emerging field of artificial intelligence and information science dedicated to the dynamics of information and the present book provides a state-of-the-art picture of its formal foundations. It deals with the addition, deletion and combination of pieces of information and, more generally, with the revision, updating and fusion of knowledge bases. The book offers an extensive coverage of, and seeks to reconcile, two traditions in the kinematics of belief that often ignore each other - the symbolic and the numerical (often probabilistic) approaches. Moreover, the work encompasses both revision and fusion problems, even though these two are also commonly investigated by different communities. Finally, the book presents the numerical view of belief change, beyond the probabilistic framework, covering such approaches as possibility theory, belief functions and convex gambles.
The work thus presents a unified view of belief change operators, drawing from a widely scattered literature embracing philosophical logic, artificial intelligence, uncertainty modelling and database systems. The material is a clearly organised guide to the literature on the dynamics of epistemic states, knowledge bases and uncertain information, suitable for scholars and graduate students familiar with applied logic, knowledge representation and uncertain reasoning.

Author(s): Didier Dubois, Henri Prade (auth.), Didier Dubois, Henri Prade (eds.)
Series: Handbook of Defeasible Reasoning and Uncertainty Management Systems 3
Edition: 1
Publisher: Springer Netherlands
Year: 1998

Language: English
Pages: 453
Tags: Logic; Artificial Intelligence (incl. Robotics); Probability Theory and Stochastic Processes; Mathematical Logic and Foundations

Front Matter....Pages i-viii
Introduction: Revising, Updating and Combining Knowledge....Pages 1-15
Revision of Belief Sets and Belief Bases....Pages 17-75
How Hard is it to Revise a Belief Base?....Pages 77-145
Conditionals and the Ramsey Test....Pages 147-188
Logics for Belief Base Updating....Pages 189-231
Reasoning About Merged Information....Pages 233-263
Numerical Representation of Uncertainty....Pages 265-309
Belief Change Rules in Ordinal and Numerical Uncertainty Theories....Pages 311-392
Parallel Combination of Information Sources....Pages 393-439
Back Matter....Pages 441-453