Serialisation Index

The serialisation index of a∈Aa \in A is serF(a)=min⁡{n∣(S1,…,Sn)\mathsf{ser}_F(a) = \min\{ n \mid (S_1, \ldots, S_n) is a serialisation sequence with a∈Sn}a \in S_n \}, with min⁡∅=∞\min \emptyset = \infty.

Reference

Blümel, L. & Thimm, M. (2022). A Ranking Semantics for Abstract Argumentation Based on Serialisability. In: Computational Models of Argument (COMMA 2022), FAIA 353, pp. 104–115. IOS Press.

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