Abstract
Abstract argumentation semantics provide a direct relation from an argumentation framework to corresponding sets of acceptable arguments, or equivalently to labeling functions. Instead, we study stepwise update relations on argumentation frameworks whose fixpoints represent the labeling functions on the arguments. We make use of this dynamic approach in order to study novel ways of combining abstract argumentation semantics. In particular, we introduce the notion of a merge of two argumentation semantics, which is defined in such a way that the merge of the preferred and the grounded semantics is the complete semantics. Finally, we consider how to define new semantics using the merge operator, in particular, how meaningfully combine features of naive-based and complete-based semantics.
The work of Jérémie Dauphin and Leendert van der Torre was supported by the H2020 Marie Skłodowska-Curie grant number 690974 for the project MIREL.
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Dauphin, J., Cramer, M., van der Torre, L. (2019). A Dynamic Approach for Combining Abstract Argumentation Semantics. In: Liao, B., Ågotnes, T., Wang, Y. (eds) Dynamics, Uncertainty and Reasoning. CLAR 2018. Logic in Asia: Studia Logica Library. Springer, Singapore. https://doi.org/10.1007/978-981-13-7791-4_2
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DOI: https://doi.org/10.1007/978-981-13-7791-4_2
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