MACHINE LEARNING

Detailed explanation-1: -Atomic sentences are the most basic sentences of first-order logic. These sentences are formed from a predicate symbol followed by a parenthesis with a sequence of terms.

Detailed explanation-2: -Perhaps most significantly, first-order logic is complete, and can be fully formalized (in the sense that a sentence is derivable from the axioms just in case it holds in all models). First-order logic moreover satisfies both compactness and the downward Löwenheim-Skolem property; so it has a tractable model theory.

Detailed explanation-3: -First-order logic is also called (first-order) predicate logic. a set of function symbols f with arity n ≥ 0, written f/n, • a set of predicate symbols p with arity m ≥ 0, written p/m. is a given countably infinite set of symbols which we use for (the denotation of) variables.