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Formal verification is a methodical approach in software engineering where mathematical techniques are used to prove the correctness of code. This field is crucial for systems where failure can have catastrophic consequences, such as in aerospace, medical devices, and critical infrastructure. By employing formal methods, developers can rigorously analyze software to ensure it behaves as intended under all conditions. This process involves creating mathematical models and proofs that can validate properties of the code, such as safety, liveness, and deadlock freedom. As a result, formal verification significantly reduces the risk of errors and enhances the reliability of complex systems.