Argument-Based expansion operators in possibilistic defeasible logic programming: characterization and logical properties

  • Authors:
  • Carlos I. Chesñevar;Guillermo R. Simari;Lluis Godo;Teresa Alsinet

  • Affiliations:
  • Departament of Computer Science, Universitat de Lleida, Lleida, Spain;Department of Computer Science and Engineering, Universidad Nacional del Sur, Bahía Blanca, Argentina;Artificial Intelligence Research Institute (IIIA-CSIC), Bellaterra, Barcelona, Spain;Departament of Computer Science, Universitat de Lleida, Lleida, Spain

  • Venue:
  • ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
  • Year:
  • 2005

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Abstract

Possibilistic Defeasible Logic Programming (P-DeLP) is a logic programming language which combines features from argumentation theory and logic programming, incorporating as well the treatment of possibilistic uncertainty and fuzzy knowledge at object-language level. Defeasible argumentation in general and P-DeLP in particular provide a way of modelling non-monotonic inference. From a logical viewpoint, capturing defeasible inference relationships for modelling argument and warrant is particularly important, as well as the study of their logical properties. This paper analyzes two non-monotonic operators for P-DeLP which model the expansion of a given program $\mathcal{P}$ by adding new weighed facts associated with argument conclusions and warranted literals, resp. Different logical properties for the proposed expansion operators are studied and contrasted with a traditional SLD-based Horn logic. We will show that this analysis provides useful comparison criteria that can be extended and applied to other argumentation frameworks.