Boolean Satisfiability Problem (SAT)

The Boolean Satisfiability Problem (SAT) asks whether there is a way to assign true or false values to a set of variables so that a given logical expression (composed of ANDs, ORs, and NOTs) is true. In essence, it checks if there's a combination of choices that makes the entire statement true. SAT is a fundamental problem in computer science and logic, used in fields like software analysis, artificial intelligence, and verifying digital circuits, because solving it helps determine if a certain set of conditions can be satisfied simultaneously.