Contents
Preface
I. Logical Models of Information Flow
Information flow and propositional inference
Epistemic logic of information statics
Multi-agent epistemic logic
Outlooks
Exercises
Literature
The Three Cards scenario
Public announcement logic
System properties of PAL
Two further technical topics
Outlooks
Exercises
Literature
From knowledge to belief
Plausibility semantics for belief
Conditional belief
New notions: safe belief
A multi-agent generalization
Outlooks
Exercises
Literature
Belief change under hard information
Belief change under soft information
Toward a general format
Outlooks
Exercises
Literature
A broader perspective on information update
Event models and product update
Dynamic-epistemic logic DEL
Epistemic-temporal logic
Dealing with belief
Outlooks
Exercises
Literature
II. Enriched Information Models
Information and dependence
Modeling dependence
Basic language and semantics
Logical system properties
Beyond the basic system
Dynamic update logics return
Outlooks
Exercises
Literature
Topological notions
Modal language and semantics
Modal logic of topological spaces
Topological bisimulation games
Information and dependence
Outlooks
Exercises
Literature
Basic properties of probability
Epistemic-probabilistic logic
PAL-style dynamic logic of probability update
A more complex probabilistic scenario
DEL-style logics of probabilistic update
Interfacing logic and probability
Outlooks
Exercises
Literature
III. Logical Analysis of Agency in Games
One little game, many issues
Actions and modal logics in game forms
Infinite games
Preference structure in games
Backward Induction analyzed
A dynamic-epistemic perspective
Outlooks
Exercises
Literature
Extensive games with imperfect information
Epistemic action logic
Dynamic-epistemic logic in game play
Beliefs in play
Levels for representing games and their logics
Modal logics of powers
Powers with knowledge and preference
Outlooks
Exercises
Literature
Strategic forms and preference patterns
Strategic form games as logical models
Varieties of rationality
Rational dynamics
Coda: Game theory and theory of play
Outlooks
Exercises
Literature
Evaluation games for modal languages
Other logical games
Further game-theoretic features in logic games
Graph games: travel and modal logic
Sabotage games and their modal logics
Meet-avoid games
Graph games with imperfect information
Outlooks
Exercises
Literature
Basic modal language and semantics
Invariance and expressive power
Proof system
Computational properties
Standard translation
Extended modal languages
Frame correspondence for modal axioms
Generalizing the basic semantics
System reductions
System combination
Dynamic logic of actions
Induction and recursion
Modal predicate logic
Outlook
Basic reasoning and counting in natural language
First-order logic with counting
Monadic first-order logic with counting
Some system extensions
Modal logic with counting
Excursion: Remodeling strategies
Conclusion
Outlooks
Exercises
Literature
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Appendix B
Index