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Formal verification is a method of mathematically proving the correctness of software and hardware systems. By constructing a formal model of the system and its desired properties, rigorous mathematical techniques can be applied to demonstrate that the system adheres to its specifications. This process is crucial in industries where failure can be catastrophic, such as aerospace, automotive, and medical devices. It ensures that critical systems behave as intended under all circumstances, providing a level of assurance that traditional testing cannot match.
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