Reasoning about Uncertainty
Reasoning about Uncertainty
ISBN: 0262582597
EAN: 2147483647
EAN: 2147483647
Year: 2005
Pages: 140
Pages: 140
Authors: Joseph Y. Halpern
- 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
Reasoning about Uncertainty
ISBN: 0262582597
EAN: 2147483647
EAN: 2147483647
Year: 2005
Pages: 140
Pages: 140
Authors: Joseph Y. Halpern