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Allowing for Joint Attacks

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Adaptive Logics for Defeasible Reasoning

Part of the book series: Trends in Logic ((TREN,volume 38))

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Abstract

In the last chapter I have announced that the adaptive modeling of Dung?s abstract argumentation framework can easily be enhanced. In order to demonstrate this I will focus in this chapter on a useful generalization of Dung?s framework proposed by Nielsen and Parsons. Their approach allows for joint attacks where an argument is attacked by a combination of several arguments.

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Notes

  1. 1.

    This is a slight modification of an examples offered by Nielsen and Parsons in [1], p. 57.

  2. 2.

    Verheij speaks of collective and indeterministic defeats. Since defeat is a specific technical term in our logical modeling of Dung’s argumentation framework that is going to be generalized in this chapter, I choose the term attack instead of defeat.

  3. 3.

    As in Chap. 8 I restrict the discussion to the finite case.

  4. 4.

    Semi-stable semantics were defined by Caminada in [4] for AFs and are equivalent to Verhijs’ admissible stage extensions in [5].

  5. 5.

    See Definition 8.3.2.

  6. 6.

    See Definition 8.3.2.

References

  1. Nielsen, S.H., Parsons, S.: A generalization of Dung’s abstract framework for argumentation: arguing with sets of attacking arguments. In: Maudet, N., Parsons, S., Rahwan, I. (eds.) Argumentation in Multi-Agent Systems. Lecture Notes in Computer Science, vol. 4766, pp. 54–73. Springer, Berlin (2006)

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  2. Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77, 321–358 (1995)

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  3. Verheij, B.: Rules, reasons, arguments. formal studies of argumentation and defeat. Ph.D. Thesis, Universiteit Maastricht (1996)

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  4. Caminada, M.: Semi-stable semantics. In: Computational Models of Argument, pp. 121–132. IOS Press (2006)

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  5. Verheij, B.: Two approaches to dialectical argumentation: admissible sets and argumentation stages. In: Proceedings of the Biannual International Conference on Formal and Applied Practical Reasoning (FAPR) Workshop, pp. 357–368 (1996)

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  1. Sint-Pietersnieuwstraat 61, 9000, Ghent, Belgium

    Christian Straßer

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  1. Christian Straßer
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Correspondence to Christian Straßer .

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© 2014 Springer International Publishing Switzerland

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Straßer, C. (2014). Allowing for Joint Attacks. In: Adaptive Logics for Defeasible Reasoning. Trends in Logic, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-00792-2_9

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