Abstract
A dynamic framework, based on the Dynamic Logic of Propositional Assignments (\(\mathsf {DL\text {-}PA}\)), has recently been proposed for Dung’s abstract argument system. This framework allows the addition and the removal of attacks, and the modification of the acceptance status of arguments. We here extend this framework in order to capture the addition and the removal of arguments. We then apply the framework on an access control case, where an agent engages in an argued dialogue to access some information controlled by another agent.
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Notes
- 1.
An equivalent way to express these formulas would be to use the set of enabled arguments. For example, to describe the stable extensions, we would write: \(\mathsf {Stable}_{\mathcal {A}, \mathcal {A}^{En}} = \bigwedge _{a \in \mathcal {A}^{En}} \big ( \mathsf {In}_{a} \leftrightarrow \lnot \bigvee _{b \in \mathcal {A}^{En}} ( \mathsf {In}_{b} \wedge \mathsf {Att}_{b,a} ) \big ) \wedge \bigwedge _{a \notin \mathcal {A}^{En}} \lnot \mathsf {In}_{a}\). This highlights the fact that when all arguments are enabled, i.e., when \(\mathcal {A}^{En}= \mathcal {A}\), we indeed retrieve formulas presented in [6].
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This work benefited from the support of the AMANDE project (ANR-13-BS02-0004) of the French National Research Agency (ANR).
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Doutre, S., Maffre, F., McBurney, P. (2017). A Dynamic Logic Framework for Abstract Argumentation: Adding and Removing Arguments. In: Benferhat, S., Tabia, K., Ali, M. (eds) Advances in Artificial Intelligence: From Theory to Practice. IEA/AIE 2017. Lecture Notes in Computer Science(), vol 10351. Springer, Cham. https://doi.org/10.1007/978-3-319-60045-1_32
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