Introduction
1.1 Background
1.2 The Notion of Argumentation
1.3 Motivations of This Book
1.4 The Structure of This Book
References
Semantics of Argumentation
2.1 Introduction
2.2 Abstract Argumentation Frameworks
2.3 Argumentation Emantics
2.3.1 Extension-Based Approach
2.3.2 Labelling-Based Approach
2.3.3 Relations Between the Two Approaches
2.3.4 Relations Between Different Semantics
2.3.5 Status of Arguments
2.4 Conclusions
References
Existing Approaches for Computing Argumentation Semantics
3.1 Introduction
3.2 Approaches Based on Answer-Set Programming
3.2.1 Answer-Set Programming
3.2.2 ASP for Argumentation
3.3 Labelling-Based Algorithms
3.3.1 The Computation of Grounded Labelling
3.3.2 The Computation of Preferred Labellings
3.4 Conclusions
References
Sub-Frameworks and Local Semantics
4.1 Introduction
4.2 Notion of Sub-Frameworks
4.2.1 Informal Idea
4.2.2 Formal Definition
4.2.3 Dependence Relation Between Different Sub-Frameworks
4.3 Semantics of Sub-Frameworks
4.3.1 Labellings of a Conditioned Sub-Framework
4.3.2 Extensions of a Conditioned Sub-Framework
4.4 Computation of the Semantics of a Sub-Framework
4.5 Conclusions
References
Relations Between Global Semantics and Local Semantics
5.1 Introduction
5.2 Mapping Global Semantics to Local Semantics
5.3 Mapping Local Semantics to Global Semantics
5.3.1 Combining Extensions of Two Unconditioned Sub-Frameworks
5.3.2 Combining Extensions of a Conditioned Sub-Framework and Those of an
Unconditioned Sub-Framework
5.3.3 Combining Labellings of Two Conditioned Sub-Frameworks
5.4 Conclusions
References
An Approach for Static Argumentation Frameworks
6.1 Introduction
6.2 Decomposing an Argumentation Framework: a Layered Approach
6.2.1 Strongly Connected Components (SCCs) of an Argumentation Framework
6.2.2 A Decomposition Approach Based on SCCs
6.3 An Incremental Approach to Compute Argumentation Semantics
6.3.1 The Computation of Layer i (0 < i _</max)
6.3.2 Soundness and Completeness of Semantic Combination
6.3.3 An Illustrating Example
6.4 Empirical Evaluation
6.5 Conclusions
References
An Approach for Dynamic Argumentation Frameworks
7.1 Introduction
7.2 The Changing of an Argumentation Framework
7.3 The Division of an Updated Argumentation Framework
7.4 Computing the Semantics of an Updated Argumentation Framework Based on the
Division
7.5 An Illustrating Example
7.6 Conclusions
References
An Approach for Partial Semantics of Argumentation
8.1 Introduction
8.2 The Definition of Partial Semantics of Argumentation
8.3 Basic Properties of Partial Semantics of Argumentation
8.3.1 Monotonicity of Partial Semantics
8.3.2 Extensibility of Partial Semantics
8.3.3 Combinability of Partial Semantics
8.4 Empirical Investigation
8.5 Conclusions
References
Conclusions and Future Work
9.1 Conclusions
9.2 Future Work
References
Index