Well-Formed Formula (WFF)
A well-formed formula (WFF) is a syntactically correct expression in a formal…
Variable Assignment in Formal Logic
A variable assignment, sometimes called a variable assignment function, is a crucial…
Upward Löwenheim–Skolem Theorem
The upward Löwenheim–Skolem theorem states that if a first-order theory has an…
Skolem Normal Form in First-Order Logic
Skolem Normal Form (SNF) simplifies first-order logic by eliminating existential quantifiers. It…
Skolemization in First-Order Logic
Skolemization is a crucial technique in first-order logic for eliminating existential quantifiers.…
Pure First-Order Logic
Pure first-order logic is a foundational system in logic, characterized by its…
Prenex Normal Form
A standardized structure for first-order logic where all quantifiers (universal and existential)…
Polyadic First-Order Logic
An extension of first-order logic that incorporates predicates with multiple arguments. This…