Abstract
In this paper, we investigate the problem of contraction in Defeasible Logic Programming (DeLP), a logic-based approach for defeasible argumentation. We develop different notions of contraction based on both, the different forms of entailment implicitly existent in argumentation-based formalisms and the influence literals exhibit in the reasoning process. We give translations of widely accepted rationality postulates for belief contraction to our framework. Moreover we discuss on the applicability of contraction for defeasible argumentation and the role of influence in this matter.
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References
Alchourrón, C.E., Gärdenfors, P., Makinson, D.: On the logic of theory change: Partial meet contraction and revision functions. Journal of Symbolic Logic 50(2), 510–530 (1985)
Billington, D., Antoniou, G., Governatori, G., Maher, M.J.: Revising nonmonotonic theories: The case of defeasible logic. In: Burgard, W., Christaller, T., Cremers, A.B. (eds.) KI 1999. LNCS (LNAI), vol. 1701, pp. 101–112. Springer, Heidelberg (1999)
Falappa, M.A., Kern-Isberner, G., Simari, G.R.: Belief revision and argumentation theory. In: Argumentation in Artificial Intelligence, pp. 341–360. Springer, Heidelberg (2009)
Garcia, A., Simari, G.R.: Defeasible logic programming: An argumentative approach. Theory and Practice of Logic Programming 4(1-2), 95–138 (2004)
Hansson, S.O.: Kernel contraction. J. of Symbolic Logic 59, 845–859 (1994)
Thimm, M., Kern-Isberner, G.: On the relationship of defeasible argumentation and answer set programming. In: COMMA 2008, pp. 393–404 (2008)
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García, D.R. et al. (2011). On Influence and Contractions in Defeasible Logic Programming. In: Delgrande, J.P., Faber, W. (eds) Logic Programming and Nonmonotonic Reasoning. LPNMR 2011. Lecture Notes in Computer Science(), vol 6645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20895-9_19
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DOI: https://doi.org/10.1007/978-3-642-20895-9_19
Publisher Name: Springer, Berlin, Heidelberg
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