Belief Change

1. Front Matter

   Pages i-viii

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2. Introduction: Revising, Updating and Combining Knowledge

   • Didier Dubois, Henri Prade

   Pages 1-15

3. Revision of Belief Sets and Belief Bases

   • Sven Ove Hansson

   Pages 17-75

4. How Hard is it to Revise a Belief Base?

   • Bernhard Nebel

   Pages 77-145

5. Conditionals and the Ramsey Test

   • Sten LindstrÖm, Wlodek Rabinowicz

   Pages 147-188

6. Logics for Belief Base Updating

   • Andreas Herzig

   Pages 189-231

7. Reasoning About Merged Information

   • Laurence Cholvy

   Pages 233-263

8. Numerical Representation of Uncertainty

   • Philippe Smets

   Pages 265-309

9. Belief Change Rules in Ordinal and Numerical Uncertainty Theories

   • Didier Dubois, Serafin Moral, Henri Prade

   Pages 311-392

10. Parallel Combination of Information Sources

    • Jörg Gebhardt, Rudolf Kruse

    Pages 393-439

11. Back Matter

    Pages 441-453

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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.

• artificial intelligence
• intelligence
• kinematics
• knowledge base
• knowledge representation
• logic
• uncertain reasoning
• uncertainty

• Université Paul Sabatier, Toulouse, France

  Didier Dubois, Henri Prade

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