quantifier elimination

Quantifier elimination is a mathematical process used to simplify logical statements that involve quantifiers like "for all" (∀) or "there exists" (∃). It transforms complex formulas with these quantifiers into equivalent expressions without them, making the statements easier to analyze or decide. Essentially, it finds a way to express the same idea using only straightforward, quantifier-free conditions, often simplifying proofs and calculations in fields like algebra and logic. This process helps mathematicians and computer scientists work more effectively with formal systems by reducing complexity.