Editing Formal methods (section)

====Human-directed proof====
Sometimes, the motivation for proving the [[correctness (computer science)|correctness]] of a system is not the obvious need for reassurance of the correctness of the system, but a desire to understand the system better. Consequently, some proofs of correctness are produced in the style of [[mathematical proof]]: handwritten (or typeset) using [[natural language]], using a level of informality common to such proofs. A "good" proof is one that is readable and understandable by other human readers.

Critics of such approaches point out that the [[ambiguity]] inherent in natural language allows errors to be undetected in such proofs; often, subtle errors can be present in the low-level details typically overlooked by such proofs. Additionally, the work involved in producing such a good proof requires a high level of mathematical sophistication and expertise.