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A Logic of Abstract Argumentation

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Book cover Argumentation in Multi-Agent Systems (ArgMAS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4049))

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Abstract

In this paper we introduce a logic of abstract argumentation capturing Dung’s theory of abstract argumentation, based on connectives for attack and defend. We extend it to a modal logic of abstract argumentation to generalize Dung’s theory and define variants of it. Moreover, we use the logic to relate Dung’s theory of abstract argumentation to more traditional conditional and comparative formalisms, and we illustrate how to reason about arguments in meta-argumentation.

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References

  1. Besnard, P., Doutre, S.: Checking the acceptability of a set of arguments. In: Procs. of NMR 2004, pp. 59–64 (2004)

    Google Scholar 

  2. Bochman, A.: Collective argumentation and disjunctive logic programming. Journal of Logic and Computation 13, 405–428 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bochman, A.: A causal approach to nonmonotonic reasoning. Artificial Intelligence 160(1-2), 105–143 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bochman, A.: A causal logic of logic programming. In: Procs. of KR 2004, pp. 427–437 (2004)

    Google Scholar 

  5. Bochman, A.: Propositional argumentation and causal reasoning. In: Procs. of IJCAI 1995, pp. 388–393 (2005)

    Google Scholar 

  6. Bondarenko, A., Dung, P., Kowalski, R., Toni, F.: An abstract, argumentation based approach to default reasoning. Artificial Intelligence 93(1–2), 63–101 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  7. Dung, P.: On the acceptability of arguments and its fundamental role in non-monotonic reasoning, logic programming and n-person games. Artificial Intelligence 76, 321–358 (1995)

    Article  MathSciNet  Google Scholar 

  8. Hemaspaandra, E.: The price of universality. Notre Dame Journal of Formal Logic 37(2), 174–203 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  9. Horty, J.: Argument construction and reinstatement in logics for defeasible reasoning. Artificial Intelligence and Law 9, 1–28 (2001)

    Article  Google Scholar 

  10. Makinson, D., van der Torre, L.: Input-output logics. Journal of Philosophical Logic 29, 383–408 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  11. Makinson, D., van der Torre, L.: Constraints for input-output logics. Journal of Philosophical Logic 30(2), 155–185 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  12. Parsons, S.D., Sierra, C., Jennings, N.R.: Agents that reason and negotiate by arguing. Journal of Logic and Computation 8(3), 261–292 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  13. Prakken, H., Sartor, G.: Modelling reasoning with precedents in a formal dialogue game. Artificial Intelligence and Law 6, 231–287 (1998)

    Article  Google Scholar 

  14. Prakken, H., Vreeswijk, G.: Logics for defeasible argumentation. In: Gabbay, D., Guenthner, F. (eds.) Handbook of philosophical logic, pp. 218–319. Kluwer, Dordrecht (2002)

    Google Scholar 

  15. Verheij, B.: Accrual of arguments in defeasible argumentation. In: Proceedings of the Second Dutch/German Workshop on Nonmonotonic Reasoning, pp. 217–224 (1995)

    Google Scholar 

  16. Von Wright, G.H.: The Logic of Preference: an Essay. Edinburgh University Press (1963)

    Google Scholar 

  17. Walton, C.: Model checking agent dialogues. In: Leite, J.A., Omicini, A., Torroni, P., Yolum, p. (eds.) DALT 2004. LNCS (LNAI), vol. 3476, pp. 132–147. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  18. Wooldridge, M., McBurney, P., Parsons, S.: On the meta-logic of arguments. In: Proceedings of AAMAS 2005, pp. 560–567 (2005)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Boella, G., Hulstijn, J., van der Torre, L. (2006). A Logic of Abstract Argumentation. In: Parsons, S., Maudet, N., Moraitis, P., Rahwan, I. (eds) Argumentation in Multi-Agent Systems. ArgMAS 2005. Lecture Notes in Computer Science(), vol 4049. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11794578_2

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  • DOI: https://doi.org/10.1007/11794578_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36355-2

  • Online ISBN: 978-3-540-36356-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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