Boolean satisfiability, often abbreviated as SAT, is a fundamental problem in computer science and mathematical logic. It involves determining whether there exists an assignment of true or false values to variables in a Boolean formula that makes the entire formula true. A Boolean formula is typically expressed in terms of logical operations like AND, OR, and NOT. The SAT problem is significant because it is the first problem that was proven to be NP-complete, meaning that if a fast solution exists for SAT, it could lead to efficient solutions for many other complex problems. SAT solvers are widely used in various fields, including artificial intelligence, verification, and optimization.