arXiv Open Access 2025

Extension-ranking Semantics for Abstract Argumentation Preprint

Kenneth Skiba Tjitze Rienstra Matthias Thimm Jesse Heyninck Gabriele Kern-Isberner
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Abstrak

In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which induce a preorder over the power set of all arguments, allowing us to state that one set is "closer" to being acceptable than another. To evaluate the extension-ranking semantics, we introduce a number of principles that a well-behaved extension-ranking semantics should satisfy. We consider several simple base relations, each of which models a single central aspect of argumentative reasoning. The combination of these base relations provides us with a family of extension-ranking semantics. We also adapt a number of approaches from the literature for ranking extensions to be usable in the context of extension-ranking semantics, and evaluate their behaviour.

Topik & Kata Kunci

Penulis (5)

K

Kenneth Skiba

T

Tjitze Rienstra

M

Matthias Thimm

J

Jesse Heyninck

G

Gabriele Kern-Isberner

Format Sitasi

Skiba, K., Rienstra, T., Thimm, M., Heyninck, J., Kern-Isberner, G. (2025). Extension-ranking Semantics for Abstract Argumentation Preprint. https://arxiv.org/abs/2504.21683

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2025
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en
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arXiv
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