The paper provides an initial study on how ranking semantics in argumentation have to be handled when leaving the purely abstract setting. We employ claim-augmented frameworks where each argument is associated to a claim it stands for. We propose liftings from argument- to claim-level in two veins: for desired properties and for actual rankings. Our main contribution is to investigate whether the satisfaction of properties by argument-based ranking semantics carries over to the lifted, claim-based, variants of the corresponding properties and semantics.
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