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Long division verified via Hoare logic
The following text can be viewed as extremely dry and intimidating, or, equally, lightheadedly funny. Let's formally verify the vene...
The following is by no means an introduction to the subject, our presentation skims over a large number of important details, please refer to the literature cited on the Wikipedia page. It is practically impossible to construct such a sequence of assertions in a top-to-bottom fashion, unless one spends an unhealthy amount of time interacting with Hoare triples in dark alleys. Early on, a much better-structured approach, going in the opposite direction, starting from the known targets (postconditions) was developed, see Predicate transformer semantics, or better still, read A Discipline of Programming("59683rd Edition" as the Amazon page mentions nonchalantly).
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