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Data Structure = Algorithm - Control

NPPV's proof-component will either succeed in proving a given verification condition, or simplify it to a (hopefully) simpler but logically equivalent statement. It will not force the user to prove these remaining statements, rather collect them into an ``axioms file''.

This gives rise to a novel perspective on program verification. Given a program together with an appropriate annotation, a set of data structure axioms will be generated such that

the algorithm satisfies the specification

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the data structure axioms are satisfied.


Thus, given a desired algorithm, a data structure may be tailored so that the algorithm computes the desired function. We shall give a number of examples.





H.Peter Gumm