First-order sentence Created 2026-09-24 Updated 2026-10-14
A first-order sentence is a formula with no free variables, so its truth in a structure is independent of a variable assignment.
Sentence (mathematical logic) 2026-10-14
A sentence is a closed formula, with no free variable occurrences. Its truth does not depend on a variable assignment. A first-order sentence uses a first-order formal language.