The use of a rigorous mathematical proof to analyze the algorithm of a software component...

Formal methods involve the use of rigorous mathematical proofs to analyze and verify the correctness of algorithms within a software component. This approach provides a high level of assurance in the reliability and correctness of the software by mathematically proving properties of the algorithm or system. Unlike boundary value analysis, functional decomposition, or dynamic analysis, formal methods use mathematical models to verify system behaviors and correctness without executing the system.