Szabolcs Mikulas: Axiomatizability of reducts of RRA Abstract The aim of this talk is to give an overview of the axiomatizability problem of algebras of binary relations. We will focus on the finite axiomatizability of several fragments of Tarski's class of representable relation algebras. Finite axiomatizability results can be established by using the step-by-step method, while ultraproduct constructions yield non-finite axiomatizability. We will conclude with some open problems that could be tackled using either of the above methods.