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Invariants are the predominant approach to verify the correctness of loops.As an alternative, loop contracts, which make explicit the premise andconclusion of the underlying induction proof, can sometimes capture correctnessconditions more naturally. But despite this advantage, the second approachreceives little attention overall, and the goal of this paper is to lift it outof its niche. We give the first comprehensive exposition of the theory of loopcontracts, including a characterization of its completeness. We show concreteexamples on standard algorithms that showcase their relative merits. Moreover,we demonstrate a novel constructive translation between the two approaches,which decouples the chosen specification approach from the verificationbackend.

A Complete Approach to Loop Verification with Invariants and Summaries