The Boolean satisfiability problem (often abbreviated as SAT) is a fundamental question in computer science and mathematical logic. It asks whether there exists an assignment of true or false values to variables in a Boolean formula that makes the entire formula true. This problem is crucial in various fields, including computer science, artificial intelligence, and mathematics. SAT is the first problem that was proven to be NP-complete, meaning that if a solution can be verified quickly, finding that solution may not be efficient. Many practical applications, such as circuit design and software verification, rely on solving SAT problems to ensure correctness and optimize performance.