Rationality

A semantics $\sigma$ satisfies Rationality iff $\sigma(F) = \sigma(F^l)$ for every framework $F$ , where $F^l$ removes every attack between two distinct self-attacking arguments.

Reference

Baumann, R., Linsbichler, T. & Woltran, S. (2016). Verifiability of Argumentation Semantics. In: Computational Models of Argument (COMMA 2016), FAIA 287, pp. 83–94. IOS Press.