Retrenchment: An Engineering Variation on Refinement

It is argued that refinement, in which I/O signatures stay the same, preconditions are weakened and postconditions strengthened, is too restrictive to describe all but a fraction of many realistic developments. An alternative notion is proposed called retrenchment, which allows information to migrate between I/O and state aspects of operations at different levels of abstraction, and which allows only a fraction of the high level behaviour to be captured at the low level. This permits more of the informal aspects of design to be formally captured and checked. The details are worked out for the B-Method