“…Thus, for generic structures in Theorem 2.1 it suffices to consider generic finite partial isomorphisms in PG(M 1 , M 2 ), with their restrictions, and a modification of that theorem holds allowing syntactically, in terms of generative classes, characterize the elementary equivalence for generic structures. Below we consider that generic modification, whose proof can be easily obtained from the proof of [11,Theorem 5…”