quantifier-free formulas

Quantifier-free formulas are logical expressions that do not include words like "for all" or "there exists." Instead, they involve statements about specific objects or numbers directly, such as "x is greater than 5" or "y is equal to 10." These formulas straightforwardly state properties or relationships without referencing unlimited groups or collections. They are basic building blocks in logic and mathematics, enabling precise reasoning about particular cases without generalizations or assumptions about entire sets.