I am reading Handbook of Satisfiability in which they say:
An algebraic structure, or simply structure, consists of a non-empty set of objects existing in the world $w$, called the domain and denoted below by $D$, and a function, called an interpretation and denoted below by $R$, that assigns to each constant an entity in $D$, to each predicate a relation among entities in $D$, and to each functor a function among entities in $D$.
A sentence $p$ is said to be true in $w$ if the entities chosen as the interpretations of the sentence’s terms and functors stand to the relations chosen as the interpretation of the sentence’s predicates.
In this context, could you help me with some example of predicates of a sentence? And what does "stand to" mean here?
I am not a native English speaker, maybe this is why I can not understand this claim.