Prioritized Norms and Defaults in Formal Argumentation

Beishui Liao 1 Nir Oren 2 Leendert van der Torre 3 Serena Villata 4
4 WIMMICS - Web-Instrumented Man-Machine Interactions, Communities and Semantics
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SPARKS - Scalable and Pervasive softwARe and Knowledge Systems
Abstract : Deontic logic sentences define what an agent ought to do when faced with a set of norms. These norms may come into conflict such that a priority ordering over them is necessary to resolve these conflicts. Dung’s seminal paper raises the still open challenge to use formal argumentation to represent non monotonic logics, highlight- ing its value to exchange, communicate and resolve possibly conflicting viewpoints in distributed scenarios. In this paper, we propose a formal framework to study various properties of prioritized non monotonic reasoning in formal argumentation, in line with this idea. More precisely, we show how a version of prioritized default logic and Brewka-Eiter’s construction in answer set programming can be obtained in argumentation via the weakest and last link principles. We also show how to represent Hansen’s recent construction for prioritized normative reasoning by adding arguments using weak contraposition via permissive norms, and their relationship to Caminada’s “hang yourself” arguments.
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Beishui Liao, Nir Oren, Leendert van der Torre, Serena Villata. Prioritized Norms and Defaults in Formal Argumentation. Proceedings of the 13th International Conference on Deontic logic and Normative Systems (DEON 2016), Jul 2016, Bayreuth, Germany. ⟨hal-01332209⟩

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