
Logic, Rationality, and Interaction
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Content
- Title
- Preface
- Organization
- Table of Contents
- Logical Dynamics of Evidence
- Introduction
- Evidence Models
- Neighborhood Models
- A Static Logic of Evidence and Belief
- Conditional Belief and Conditional Evidence
- Some Logical Theory: Axiomatization and Definability
- Evidence Dynamics
- Public Announcements
- Evidence Addition
- Evidence Removal
- Evidence Modification
- From External to Internal Actions: Evidence Combination
- Comparison with Plausibility Models
- Conclusion and Further Directions
- Conclusion
- References
- Dynamic Restriction of Choices: Synthesis of Societal Rules
- Motivation
- Dynamic Game Restriction
- Induced Game Tree
- Strategising by Players
- Capturing Costs in the Logical Formalism
- Quantitative Objectives
- Restriction of Order
- Restriction of Action
- Reducing the Number of Players
- Discussion
- References
- Agreeing to Disagree with Limit Knowledge
- Introduction
- An Epistemic-Topological Approach to Agreeing to Disagree
- A Representative Example
- Conclusion
- References
- A Semantic Model for Vague Quantifiers Combining Fuzzy Theory and Supervaluation Theory
- Introduction
- Basic Theories for VQs
- Fuzzy Theory (Fuzzy Set Cardinality Approach)
- Fuzzy Theory (Quantifier Fuzzification Mechanism Approach)
- Supervaluation Theory
- Combining FT and ST
- The Modified Glöckner's Method
- Some Properties of MGM
- Iterated VQs
- Conclusion
- References
- An Application of Model Checking Games to Abstract Argumentation
- Introduction
- Logical Languages for Argumentation Theory
- Argumentation Models
- Argumentation in Modal Logic
- Argumentation in Second-Order Modal Logic
- Model-Checking Games for Argumentation
- The Model Checking Game for KU2
- Discussion and Conclusions
- Model-Checking Games vs. Dialogue Games
- Future Work
- References
- Schematic Validity in Dynamic Epistemic Logic: Decidability
- Introduction
- Review of Public Announcement Logic
- Conceptual Significance of Substitution Failure
- The Problem of the Substitution Core
- Decidability
- Transforming Substitutions
- Proof of Decidability
- Conclusion
- References
- Knowledge and Action in Semi-public Environments
- Introduction
- Motivation
- Language and Semantics
- Axiomatization
- Related Work and Conclusions
- References
- Taking Mistakes Seriously: Equivalence Notions for Game Scenarios with off Equilibrium Play
- Introduction: Two Types of Mistake
- Proper Equilibria and Wishful Thinking
- Review: Extensive Form Games and Their Equilibria
- Defining Mistakes in EFG Scenarios
- The Problem is Coalescing of Moves
- Trembling Hands and the Will of Nature
- Conclusion: Taking Mistakes Seriously
- References
- Update Semantics for Imperatives with Priorities
- Introduction
- Force Structures and Track Structures
- Update with Priorities
- Introducing Authorities
- Update Function and Some Properties
- Illustrations and Background Ideas
- Illustrations
- Imperative Forces and Authorities
- Conclusions and Future Work
- References
- A Measure of Logical Inference and Its Game Theoretical Applications
- Introduction
- Classical and Intuitionistic Logics
- Measure of Inference ?L*
- The Lower Bound Method
- An Application to the Game with Small and Large Stores
- Evaluations of Some Contradictory Statements
- Conclusion
- References
- Partial Semantics of Argumentation
- Introduction
- Preliminaries
- Dung's Theory of Argumentation
- Directionality of Argumentation Semantics
- Definitions and Properties of Partial Semantics of Argumentation
- Definitions
- Properties
- Conclusions and Future Work
- References
- A Dynamic Logic of Knowledge, Graded Beliefs and Graded Goals and Its Application to Emotion Modelling
- Introduction
- The Logical Framework
- Syntax
- Semantics
- Some Properties of Mental Attitudes
- Decidability and Axiomatization
- Formalization of Expectation-Based Emotions
- Hope and Fear
- Disappointment and Relief
- Conclusion
- References
- DEL Planning and Some Tractable Cases
- Introduction
- Dynamic Epistemic Logic
- DEL Planning
- Some Properties to Ensure Tractability
- A Toy Application
- A Formalization of Thief: The Dark ProjectTM
- Planning for the Toy Application
- Conclusion and Future Work
- References
- Mathematics of Public Announcements
- Submodel Operation and Respecting Phenomena
- Algebraic Perspective on Public Announcements
- Intuitionistic Logic and PAL
- First-Order Logic and Public Announcements
- Conclusions and Open Questions
- References
- Logics of Belief over Weighted Structures
- Introduction
- Dynamic Graded Belief Logics
- Epistemic Weighted Frames
- Static Graded Belief Logic
- Public Announcement BLg
- Dynamic Epistemic BLg
- Logics of Plausible Belief
- Dynamics of Plausible Beliefs
- Other Notions of Plausible Belief
- Conclusions and Open Questions
- References
- Game Semantics for the Geiger-Paz-Pearl Axioms of Independence
- Introduction
- Semantics
- Axioms
- Soundness
- Completeness
- Critical Sets
- Parity Game
- Game Composition
- Completeness: The final steps
- Conclusion
- An n-ary Independence Relation
- Possible Extensions
- References
- Algebraic Foundations for Inquisitive Semantics
- Introduction
- Algebraic Foundations of Classical Logic
- Algebraic Inquisitive Semantics
- Ordering Propositions
- Algebraic Operations
- Connectives
- Quantifiers
- Comparison with Previous Work
- Conclusion
- References
- A Dynamic Analysis of Interactive Rationality
- Background and Motivation
- Belief Dynamics for Strategic Games
- Describing an Informational Context
- A Primer on Belief Dynamics
- Deliberating about What To Do
- Case Study: Iterated Admissibility
- Stabilization Theorem
- Concluding Remarks
- References
- Seeing, Knowledge and Common Knowledge
- Language
- Semantics
- Worlds
- Epistemic Kripke Structure over Worlds
- Rewriting the Common Knowledge Operator
- When There Exists a, b J Such That a Does Not See b
- When for All a, b J Agent a Sees Agent b
- Conclusion
- Rewriting Common Knowledge Operator as Geometrical Constraints
- Model-Checking Problem
- Conclusion
- References
- Measurement-Theoretic Foundations of Probabilistic Model of JND-Based Vague Predicate Logic
- Introduction
- JND-Based Vague Predicate Logic JVL
- Language
- Semantics
- Syntax
- Metalogic of JVL
- Conclusion
- References
- An Epistemic Logic with Hypotheses
- Introduction
- The Modal Logic
- Chellas' Conditional Logic
- Axiomatisation
- Reduction
- Distributed Knowledge
- Conclusion
- References
- Minimal Revision and Classical Kripke Models First Results
- Multi-modal Kripke Semantics
- Two Fixed-frame Minimal Revision Operators
- Two Generalized Minimal Revision Operators
- Related Work
- Future Work
- References
- On Axiomatizations of PAL
- Introduction
- Preliminaries
- PA is Not Complete
- A Context-Dependent Semantics
- Another Non-standard Semantics
- Discussion and Future Work
- References
- Public Announcement Logic with Distributed Knowledge
- Introduction
- Background
- Expressivity
- PAD
- PACD
- Expressivity Relations: Summary
- Axiomatisation
- PAD
- PACD
- Discussion
- References
- An Alternative Logic for Knowability
- Introduction
- The Logic LK for Knowability
- Syntax and Semantics of LK
- Some Semantic Results
- Various Representations of the Knowability Thesis in LK
- LK and Arbitrary Public Announcement Logic
- Single-Agent Systems
- Multi-agent systems
- LK and Subset Space Logic
- Single-Agent Systems
- Multi-Agent Systems
- Conclusion
- References
- Conditional Ought, a Game Theoretical Perspective
- Introduction
- A New Consequentianlist Deontic Logic
- Language
- Consequentialist Frame
- Semantics
- Revisit Principles of Conditional Ought
- Conclusion and Future Work
- References
- The Categorial Logic of Vacuous Components in Natural Language
- Introduction
- LMP - A Categorial Type Logic
- A Gentzen-Style Presentation of LMP
- Further Thinking
- References
- A Logic for Strategy Updates
- Introduction
- Restricted Strategy Logic
- References
- Efficient Action Extraction with Many-to-Many Relationship between Actions and Features
- Motivation
- Method and Experimental Evaluation
- References
- Reflections on Vote Manipulation
- References
- Playing Extensive Form Negotiation Games: A Tool-Based Analysis (Abstract)
- Reference
- The Dynamics of Peer Pressure
- References
- On Logic of Belief-Disagreement among Agents
- Three Kinds of Belief-Disagreement
- A Belief Logic Containing Belief-Disagreement Operators
- Some Theorems in BD(n)
- References
- Algebraic Semantics and Model Completeness for Intuitionistic Public Announcement Logic
- References
- Bayesianism, Elimination Induction and Logical Reliability
- References
- A Logic of Questions for Rational Choice
- How Questions Guide Choices
- Summary of the Paper
- References
- Capturing Lewis's "Elusive Knowledge"
- Introduction
- References
- Author Index
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