On Defense Strength of Blocking Defeaters in Admissible Sets

Extended argumentation framework is a formalism where defeat relations are determined by establishing a preference between arguments involved in symmetric conflicts. This process possibly leads to blocking situations, where conflicting arguments are found to be incomparable or equivalent in strength. In this work we introduce new argumentation semantics for extended frameworks, by taking into account the strength of an argument defense. Each of these new admissibility notions relies on the presence of blocking defeaters as argument defenders.