Definition:Predicate Logic

Predicate logic is an extension of propositional logic in which the internal structure of simple statements is analysed.

It is sometimes referred to as "first-order logic".

Thus in Predicate logic, simple statements are no longer atomic.

The atoms of predicate logic are subjects and predicates of simple statements.

Similarly with propositional logic being referred to as "PropLog", it is often abbreviated as "PredLog".