Underapproximation of Procedure Summaries for Integer Programs

Pierre Ganty (1) , Radu Iosif (2) , Filip Konečný (2)

1 Institute IMDEA Software [Madrid]
2 VERIMAG - IMAG - VERIMAG

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 re-cursive case. Finally, we present experimental results of an implementation of our method applied on a number of examples.

Domaines: Informatique et langage [cs.CL]

Pierre Ganty, Radu Iosif, Filip Konečný. Underapproximation of Procedure Summaries for Integer Programs. International Journal on Software Tools for Technology Transfer, 2016. ⟨hal-01418863⟩