Abstract
We introduce a parametrized equivalence notion for
abstract argumentation that subsumes standard and
strong equivalence as corner cases. Under this notion, two argumentation frameworks are equivalent
if they deliver the same extensions under any addition of arguments and attacks that do not affect a
given set of core arguments. As we will see, this
notion of equivalence nicely captures the concept
of local simplifications. We provide exact characterizations and complexity results for deciding our
new notion of equivalence.