Structural Operational Semantics with First-Order Logic

We define a formalism for Structural Operational Semantics (SOS) with first-order-logic formulas as premises. It is shown that in most uses (including all practical uses) this formalism has the same expressivity as SOS without first-order logic. Furthermore, we give a congruence format for (strong) bisimilarity. The latter is shown to be strongly related to the ntyft/ntyxt format.