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Embedding Default Logic in Propositional Argumentation Systems

Dritan Berzati, Bernhard Anrig, Juerg Kohlas

cs.AIarXiv:cs/0207065

Abstract

In this paper we present a transformation of finite propositional default theories into so-called propositional argumentation systems. This transformation allows to characterize all notions of Reiter's default logic in the framework of argumentation systems. As a consequence, computing extensions, or determining wether a given formula belongs to one extension or all extensions can be answered without leaving the field of classical propositional logic. The transformation proposed is linear in the number of defaults.

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