The Boolean Satisfiability Problem (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. SAT is crucial in various fields, including artificial intelligence, verification, and optimization. SAT can be expressed in a standard form called conjunctive normal form (CNF), where a formula is a conjunction of clauses, and each clause is a disjunction of literals. The problem is NP-complete, meaning that no efficient algorithm is known to solve all instances of SAT quickly. However, many practical algorithms exist for specific cases.