A mathematical treatment of defeasible reasoning and its implementation
Artificial Intelligence
Abstract argumentation systems
Artificial Intelligence
Dialectic semantics for argumentation frameworks
ICAIL '99 Proceedings of the 7th international conference on Artificial intelligence and law
Defeasible logic programming: an argumentative approach
Theory and Practice of Logic Programming
IJCAI'93 Proceedings of the 13th international joint conference on Artifical intelligence - Volume 2
On Acceptability in Abstract Argumentation Frameworks with an Extended Defeat Relation
Proceedings of the 2006 conference on Computational Models of Argument: Proceedings of COMMA 2006
Strong and Weak Forms of Abstract Argument Defense
Proceedings of the 2008 conference on Computational Models of Argument: Proceedings of COMMA 2008
On defense strength of blocking defeaters in admissible sets
KSEM'07 Proceedings of the 2nd international conference on Knowledge science, engineering and management
Moving Between Argumentation Frameworks
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
ArgMAS'09 Proceedings of the 6th international conference on Argumentation in Multi-Agent Systems
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Abstract argumentation systems are formalisms for defeasible reasoning where some components remain unspecified, the structure of arguments being the main abstraction. In the dialectical process carried out to identify accepted arguments in the system some controversial situations may appear. These relate to the reintroduction of arguments into the process which cause the onset of circularity. This must be avoided in order to prevent an infinite analysis. Some systems apply the sole restriction of not allowing the introduction of previously considered arguments in an argumentation line. However, repeating an argument is not the only possible cause for the risk mentioned. A more specific restriction needs to be applied considering the existence of subarguments. In this work, we introduce an extended argumentation framework where two kinds of defeat relation are present, and a definition for progressive defeat path.