A. Hunter, S. Woltran:

"Structural Properties for Deductive Argument Systems";

Talk: The 12th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Utrecht, The Netherlands; 08-08-2013 - 08-10-2013; in: "Symbolic and Quantitative Approaches to Reasoning with Uncertainty", L. van der Gaag (ed.); Springer, 7958 (2013), ISBN: 978-3-642-39090-6; 278 - 289.

There have been a number of proposals for using deductive arguments for instantiating abstract argumentation. These take a set of formulae as a knowledgebase, and generate a graph where each node is a logical argument and each arc is a logical attack. This then raises the question of whether for a specific logical argument system S, and for any graph G, there is a knowledgebase such that S generates G. If it holds, then it can be described as a kind of "structural" property of the system. If it fails then, it means that there are situations that cannot be captured by the system. In this paper, we explore some features, and the significance, of such structural properties.

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