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Reasoning about Uncertainty

ISBN: 0262582597
EAN: 2147483647

Year: 2005
Pages: 140

Authors: Joseph Y. Halpern

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• Table of Contents
• BackCover
• Reasoning About Uncertainty
• Preface
• Chapter 1: Introduction and Overview
• 1.1 Some Puzzles and Problems
• 1.2 An Overview of the Book
• Notes
• Chapter 2: Representing Uncertainty
• 2.1 Possible Worlds
• 2.2 Probability Measures
• 2.3 Lower and Upper Probabilities
• 2.4 Dempster-Shafer Belief Functions
• 2.5 Possibility Measures
• 2.6 Ranking Functions
• 2.7 Relative Likelihood
• 2.8 Plausibility Measures
• 2.9 Choosing a Representation
• Exercises
• Notes
• Chapter 3: Updating Beliefs
• 3.1 Updating Knowledge
• 3.2 Probabilistic Conditioning
• 3.3 Conditioning with Sets of Probabilities
• 3.4 Evidence
• 3.5 Conditioning Inner and Outer Measures
• 3.6 Conditioning Belief Functions
• 3.7 Conditioning Possibility Measures
• 3.8 Conditioning Ranking Functions
• 3.9 Conditioning Plausibility Measures
• 3.10 Jeffrey s Rule
• 3.11 Relative Entropy
• Exercises
• Notes
• Chapter 4: Independence and Bayesian Networks
• 4.1 Probabilistic Independence
• 4.2 Probabilistic Conditional Independence
• 4.3 Independence for Plausibility Measures
• 4.4 Random Variables
• 4.5 Bayesian Networks
• Notes
• Chapter 5: Expectation
• 5.1 Expectation for Probability Measures
• 5.2 Expectation for Other Notions of Likelihood
• 5.3 Plausibilistic Expectation
• 5.4 Decision Theory
• 5.5 Conditional Expectation
• Exercises
• Notes
• Chapter 6: Multi-Agent Systems
• 6.1 Epistemic Frames
• 6.2 Probability Frames
• 6.3 Multi-Agent Systems
• 6.4 From Probability on Runs to Probability Assignments
• 6.5 Markovian Systems
• 6.6 Protocols
• 6.7 Using Protocols to Specify Situations
• 6.8 When Conditioning Is Appropriate
• 6.9 Non-SDP Systems
• 6.10 Plausibility Systems
• Exercises
• Notes
• Chapter 7: Logics for Reasoning about Uncertainty
• 7.1 Propositional Logic
• 7.2 Modal Epistemic Logic
• 7.3 Reasoning about Probability: The Measurable Case
• 7.4 Reasoning about Other Quantitative Representations of Likelihood
• 7.5 Reasoning about Relative Likelihood
• 7.6 Reasoning about Knowledge and Probability
• 7.7 Reasoning about Independence
• 7.8 Reasoning about Expectation
• Exercises
• Notes
• Chapter 8: Beliefs, Defaults, and Counterfactuals
• 8.1 Belief
• 8.2 Knowledge and Belief
• 8.3 Characterizing Default Reasoning
• 8.4 Semantics for Defaults
• 8.5 Beyond System P
• 8.6 Conditional Logic
• 8.7 Reasoning about Counterfactuals
• 8.8 Combining Probability and Counterfactuals
• Exercises
• Notes
• Chapter 9: Belief Revision
• 9.1 The Circuit-Diagnosis Problem
• 9.2 Belief-Change Systems
• 9.3 Belief Revision
• 9.4 Belief Revision and Conditional Logic
• 9.5 Epistemic States and Iterated Revision
• 9.6 Markovian Belief Revision
• Exercises
• Notes
• Chapter 10: First-Order Modal Logic
• 10.1 First-Order Logic
• 10.2 First-Order Reasoning about Knowledge
• 10.3 First-Order Reasoning about Probability
• 10.4 First-Order Conditional Logic
• Exercises
• Notes
• Chapter 11: From Statistics to Beliefs
• 11.1 Reference Classes
• 11.2 The Random-Worlds Approach
• 11.3 Properties of Random Worlds
• 11.4 Random Worlds and Default Reasoning
• 11.5 Random Worlds and Maximum Entropy
• 11.6 Problems with the Random-Worlds Approach
• Exercises
• Notes
• Chapter 12: Final Words
• Notes
• References
• Glossary of Symbols
• Index
• Index_B
• Index_C
• Index_D
• Index_E
• Index_F
• Index_G
• Index_H
• Index_I
• Index_J
• Index_K
• Index_L
• Index_M
• Index_N
• Index_O-P
• Index_Q
• Index_R
• Index_S
• Index_T
• Index_U
• Index_V
• Index_W
• Index_X-Y
• Index_Z
• List of Figures