The Argument Interchange Format (AIF) has been devised in order to support the interchange of ideas and data between different projects and applications in the area of computational argumentation. In order to support such interchange, an abstract ontology for argumentation is presented, which serves as an interlingua between various more concrete argumentation languages. In this article, we aim to give what is essentially a logical specification of the AIF ontology by mapping the ontology onto the logical ASPIC+ framework for argumentation. We thus lay foundations for interrelating formal logic-based approaches to argumentation captured by the ASPIC+ framework and the wider class of argumentation languages, including those that are more informal and user-orientated.

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