Introduction / 1: |
öBelieve It or Notö - The Handling of Uncertain Knowledge / 1.1: |
Overview / 1.2: |
Basic Definitions and Notations / 1.3: |
Propositional and Conditional Expressions / 1.3.1: |
Probabilistic Logics / 1.3.2: |
Belief Revision and Nonmonotonic Reasoning - State of the Art / 2: |
Nonmonotonic Reasoning / 2.1: |
Belief Revision / 2.2: |
Nonmonotonic Reasoning and Belief Revision - Two Sides of the Same Coin? / 2.3: |
Iterated Revision, Epistemic States, and Conditionals / 2.4: |
Probabilistic Reasoning - The ME-Approach / 2.5: |
Conditionals / 3: |
Conditionals and Epistemic States / 3.1: |
Conditional Valuation Functions / 3.2: |
Conditional Valuation Functions and Beliefs / 3.3: |
A Dynamic View on Conditionals / 3.4: |
Conditional Structures / 3.5: |
Conditional Indifference / 3.6: |
Revising Epistemic States by Conditional Beliefs / 4: |
Postulates for Revising by Conditional Beliefs / 4.1: |
Representation Theorems / 4.2: |
Conditional Valuation Functions and Revision / 4.3: |
A Revision Operator for Ordinal Conditional Functions / 4.4: |
The Principle of Conditional Preservation / 4.5: |
C-Revisions and C-Representations / 4.6: |
Characterizing the Principle of Minimum Cross-Entropy / 5: |
Conditional Preservation / 5.1: |
The Functional Concept / 5.2: |
Logical Coherence / 5.3: |
Representation Invariance / 5.4: |
Uniqueness and the Main Theorem / 5.5: |
Reasoning at Optimum Entropy / 6: |
Probabilistic Consequence and Probabilistic Inference / 6.1: |
Basic Properties of the ME-Inference Operation / 6.2: |
ME-Logic and Conditionals / 6.3: |
ME-Deduction Rules / 6.4: |
Chaining Rules / 6.4.1: |
Cautious Monotonicity and Cautious Cut / 6.4.2: |
Conjoining Literals in Antecedent and Consequent / 6.4.3: |
Reasoning by Cases / 6.4.4: |
Belief Revision and Nonmonotonic Reasoning - Revisited / 7: |
Universal Inference Operations / 7.1: |
Simultaneous and Successive Revision / 7.2: |
Separating Background from Evidential Knowledge / 7.3: |
Revising Epistemic States by Sets of Conditionals / 7.4: |
Revision versus Updating / 7.5: |
Focusing in a Probabilistic Framework / 7.6: |
Knowledge Discovery by Following Conditional Structures / 8: |
Probabilistic Knowledge Discovery / 8.1: |
Discovering Conditional Structures / 8.2: |
Examples - ME-Knowledge Discovery / 8.3: |
Open Problems and Concluding Remarks / 8.4: |
Algorithms and Implementations / 9: |
ME-Reasoning with Probabilistic Conditionals / 9.1: |
Possibilistic Belief Revision / 9.2: |
Conclusion / 10: |
Proofs |
Bibliography |
Index |
Introduction / 1: |
öBelieve It or Notö - The Handling of Uncertain Knowledge / 1.1: |
Overview / 1.2: |
Basic Definitions and Notations / 1.3: |
Propositional and Conditional Expressions / 1.3.1: |
Probabilistic Logics / 1.3.2: |