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International Journal of Intelligent Systems - Bipolar Representations of Information and Preference Part 2: Reasoning and Learning
An Abstract Theory of Argumentation That Accommodates Defeasible Reasoning About Preferences
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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PRIMA '08 Proceedings of the 11th Pacific Rim International Conference on Multi-Agents: Intelligent Agents and Multi-Agent Systems
Reasoning about preferences in argumentation frameworks
Artificial Intelligence
Integrating Object and Meta-Level Value Based Argumentation
Proceedings of the 2008 conference on Computational Models of Argument: Proceedings of COMMA 2008
Support in Abstract Argumentation
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
An Algorithm for Stage Semantics
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
Computation in Extended Argumentation Frameworks
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
AFRA: Argumentation framework with recursive attacks
International Journal of Approximate Reasoning
Weighted argument systems: Basic definitions, algorithms, and complexity results
Artificial Intelligence
On the resolution-based family of abstract argumentation semantics and its grounded instance
Artificial Intelligence
Instantiating abstract argumentation with classical logic arguments: Postulates and properties
Artificial Intelligence
On strategic argument selection in structured argumentation systems
ArgMAS'10 Proceedings of the 7th international conference on Argumentation in Multi-Agent Systems
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IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
A logic of argumentation for specification and verification of abstract argumentation frameworks
Annals of Mathematics and Artificial Intelligence
Modelling defeasible and prioritized support in bipolar argumentation
Annals of Mathematics and Artificial Intelligence
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In the traditional definition of Dung's abstract argumentation framework ($\ensuremath{AF}$), the notion of attack is understood as a relation between arguments, thus bounding attacks to start from and be directed to arguments. This paper introduces a generalized definition of abstract argumentation framework called $\ensuremath{AFRA}$ (Argumentation Framework with Recursive Attacks), where an attack is allowed to be directed towards another attack. From a conceptual point of view, we claim that this generalization supports a straightforward representation of reasoning situations which are not easily accommodated within the traditional framework. From the technical side, we first investigate the extension to the generalized framework of the basic notions of conflict-free set, acceptable argument, admissible set and of Dung's fundamental lemma. Then we propose a correspondence from the $\ensuremath{AFRA}$ to the $\ensuremath{AF}$ formalism, showing that it satisfies some basic desirable properties. Finally we analyze the relationships between $\ensuremath{AFRA}$ and a similar extension of Dung's abstract argumentation framework, called $\ensuremath{EAF+}$ and derived from the recently proposed formalism $\ensuremath{EAF}$.