 Quantifier elimination

A theory has quantifier elimination when every formula is equivalent modulo the theory to a quantifier-free formula.

Quantifier elimination is a technique used in mathematical logic and model theory, particularly in the study of first-order logic and algebraic structures. The primary goal of quantifier elimination is to simplify logical formulas by removing quantifiers (like "for all" (∀) and "there exists" (∃)) from logical expressions while preserving their truth value in a given structure.