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arXiv · 1210.4289

Underapproximation of Procedure Summaries for Integer Programs

Pierre Ganty·Radu Iosif·Filip Konecny
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Abstract

We show how to underapproximate the procedure summaries of recursive programs over the integers using off-the-shelf analyzers for non-recursive programs. The novelty of our approach is that the non-recursive program we compute may capture unboundedly many behaviors of the original recursive program for which stack usage cannot be bounded. Moreover, we identify a class of recursive programs on which our method terminates and returns the precise summary relations without underapproximation. Doing so, we generalize a similar result for non-recursive programs to the recursive case. Finally, we present experimental results of an implementation of our method applied on a number of examples.

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Pierre Ganty, Radu Iosif, Filip Konecny. 2016-10-24. Underapproximation of Procedure Summaries for Integer Programs. https://doi.org/10.1007/s10009-016-0420-7

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