Acyclic Argumentation: Attack = Conflict + Preference (bibtex)
by S. Kaci, L. van der Torre, E. Weydert
Abstract:
In this paper we study the fragment of Dung's argumentation theory in which the strict attack relation is acyclic. We show that every attack relation satisfying a particular property can be represented by a symmetric conflict relation and a transitive preference relation in the following way.We define an instance of Dung's abstract argumentation theory, in which `argument A attacks argument B' is defined as `argument A conflicts with argument B' and `argument A is at least as preferred as argument B', where the conflict relation is symmetric and the preference relation is transitive.We show that this new preference-based argumentation theory characterizes the acyclic strict attack relation, in the sense that every attack relation defined as such a combination satisfies the property, and for every attack relation satisfying the property we can find a symmetric conflict relation and a transitive preference relation satisfying the equation.
Reference:
Acyclic Argumentation: Attack = Conflict + Preference (S. Kaci, L. van der Torre, E. Weydert), In ECAI 2006, 17th European Conference on Artificial Intelligence, August 29 - September 1, 2006, Riva del Garda, Italy, Including Prestigious Applications of Intelligent Systems (PAIS 2006), Proceedings (G. Brewka, S. Coradeschi, A. Perini, P. Traverso, eds.), IOS Press, 2006.
Bibtex Entry:
@InProceedings{Kaci2006,
  Title                    = {Acyclic Argumentation: Attack = Conflict + Preference},
  Author                   = {S. Kaci and L. van der Torre and E. Weydert},
  Booktitle                = {ECAI 2006, 17th European Conference on Artificial Intelligence, August 29 - September 1, 2006, Riva del Garda, Italy, Including Prestigious Applications of Intelligent Systems (PAIS 2006), Proceedings},
  Year                     = {2006},
  Editor                   = {G. Brewka and S. Coradeschi and A. Perini and P. Traverso},
  Pages                    = {725-726},
  Publisher                = {IOS Press},

  Abstract                 = {In this paper we study the fragment of Dung's argumentation theory in which the strict attack relation is acyclic. We show that every attack relation satisfying a particular property can be represented by a symmetric conflict relation and a transitive preference relation in the following way.We define an instance of Dung's abstract argumentation theory, in which `argument A attacks argument B' is defined as `argument A conflicts with argument B' and `argument A is at least as preferred as argument B', where the conflict relation is symmetric and the preference relation is transitive.We show that this new preference-based argumentation theory characterizes the acyclic strict attack relation, in the sense that every attack relation defined as such a combination satisfies the property, and for every attack relation satisfying the property we can find a symmetric conflict relation and a transitive preference relation satisfying the equation. },
  Affiliation              = {icr},
  Bdsk-url-1               = {http://icr.uni.lu/leonvandertorre/papers/ecai06d.pdf},
  Bibsource                = {DBLP, http://dblp.uni-trier.de},
  ISBN                     = {1-58603-642-4},
  Timestamp                = {2013.07.26},
  Url                      = {http://icr.uni.lu/leonvandertorre/papers/ecai06d.pdf}
}
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