A SAT Solver is a computational tool designed to determine the satisfiability of boolean formulas. It checks whether there exists an assignment of true or false values to variables that makes the entire formula true. This is crucial in various fields, including computer science, artificial intelligence, and operations research. SAT Solvers use different algorithms, such as DPLL (Davis-Putnam-Logemann-Loveland) and CDCL (Conflict-Driven Clause Learning), to efficiently explore possible variable assignments. They are widely used in applications like hardware verification, software testing, and automated reasoning, helping to solve complex problems by simplifying logical expressions.