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Backing and Undercutting in Defeasible Logic Programming

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2011)

Abstract

Two important notions within the field of classical argumentation are undercutting defeaters and backings. The former represent an attack to an inference step, and the latter intend to provide defense against this type of attack. Defeasible Logic Programming (DeLP) is a concrete argumentation system that allows to identify arguments whose conclusions or intermediate conclusions are in contradiction, capturing the notion of rebutting defeater. Nevertheless, in DeLP is not possible to represent neither undercutting defeaters nor backings. The aim of this work is to extend the formalism of DeLP to allow attack and support for defeasible rules. Thus, it will be possible to build arguments for representing undercutting defeaters and backings.

Partially supported by UNS (PGI 24/ZN18) and CONICET (PIP 112-200801-02798).

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References

  1. Caminada, M., Amgoud, L.: On the evaluation of argumentation formalisms. Artificial Intelligence 171(5-6), 286–310 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  2. Cohen, A., Garcia, A.J., Simari, G.R.: Extending DeLP with attack and support for defeasible rules. In: Kuri-Morales, A., Simari, G.R. (eds.) IBERAMIA 2010. LNCS, vol. 6433, pp. 90–99. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. García, A.J., Simari, G.R.: Defeasible logic programming: An argumentative approach. Theory and Practice of Logic Programming 4(1-2), 95–138 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lifschitz, V.: Foundations of logic programs. In: Brewka, G. (ed.) Principles of Knowledge Representation, pp. 69–128. CSLI Pub., Stanford (1996)

    Google Scholar 

  6. Modgil, S.: Reasoning about preferences in argumentation frameworks. Artificial Intelligence 173(9-10), 901–934 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Nute, D.: Defeasible reasoning: a philosophical analysis in prolog. In: Fetzer, J.H. (ed.) Aspects of Artificial Intelligence, pp. 251–288. Kluwer Academic Pub., Dordrecht (1988)

    Chapter  Google Scholar 

  8. Nute, D.: Defeasible logic. In: Gabbay, D., Hogger, C., Robinson, J.A. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 3, pp. 355–395. Oxford University Press, Oxford (1994)

    Google Scholar 

  9. Pollock, J.L.: Defeasible reasoning. Cognitive Science 11(4), 481–518 (1987)

    Article  Google Scholar 

  10. Prakken, H.: An abstract framework for argumentation with structured arguments. Argument and Computation 1, 93–124 (2009)

    Article  Google Scholar 

  11. Prakken, H., Vreeswijk, G.: Logics for defeasible argumentation. In: Gabbay, D., Guenthner, F. (eds.) Handbook of Philosophical Logic, vol. 4, pp. 218–319. Kluwer Academic Pub., Dordrecht (2002)

    Google Scholar 

  12. Toulmin, S.E.: The Uses of Argument. Cambridge University Press, Cambridge (1958)

    Google Scholar 

  13. Verheij, B.: Deflog: On the logical interpretation of prima facie justified assumptions. Journal of Logic and Computation 13(3), 319–346 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  14. Verheij, B.: Evaluating arguments based on Toulmin’s scheme. Argumentation 19(3), 347–371 (2005)

    Article  Google Scholar 

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Cohen, A., García, A.J., Simari, G.R. (2011). Backing and Undercutting in Defeasible Logic Programming. In: Liu, W. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2011. Lecture Notes in Computer Science(), vol 6717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22152-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-22152-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22151-4

  • Online ISBN: 978-3-642-22152-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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