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Published in:
2005 | OriginalPaper | Chapter
Loop Invariants on Demand
Authors : K. Rustan M. Leino, Francesco Logozzo
Published in: Programming Languages and Systems
Publisher: Springer Berlin Heidelberg
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This paper describes a sound technique that combines the precision of theorem proving with the loop-invariant inference of abstract interpretation. The loop-invariant computations are invoked on demand when the need for a stronger loop invariant arises, which allows a gradual increase in the level of precision used by the abstract interpreter. The technique generates loop invariants that are specific to a subset of a program’s executions, achieving a dynamic and automatic form of value-based trace partitioning. Finally, the technique can be incorporated into a lemmas-on-demand theorem prover, where the loop-invariant inference happens after the generation of verification conditions.