  Abstract dialectical frameworks (ADFs) have been introduced as a formalism
for modeling and evaluating argumentation allowing general logical satisfaction
conditions. Different criteria used to settle the acceptance of arguments are
called semantics. Semantics of ADFs have so far mainly been defined based on
the concept of admissibility. However, the notion of strongly admissible
semantics studied for abstract argumentation frameworks has not yet been
introduced for ADFs. In the current work we present the concept of strong
admissibility of interpretations for ADFs. Further, we show that strongly
admissible interpretations of ADFs form a lattice with the grounded
interpretation as top element.
