2010 | OriginalPaper | Chapter
Modal and Temporal Argumentation Networks
Authors : Howard Barringer, Dov M. Gabbay
Published in: Time for Verification
Publisher: Springer Berlin Heidelberg
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The traditional Dung networks depict arguments as atomic and studies the relationships of attack between them. This can be generalised in two ways. One is to consider, for example, various forms of attack, support and feedback. Another is to add content to nodes and put there not just atomic arguments but more structure, for example, proofs in some logic or simply just formulas from a richer language. This paper offers to use temporal and modal language formulas to represent arguments in the nodes of a network. The suitable semantics for such networks is Kripke semantics. We also introduce a new key concept of usability of an argument.