Abstract
Computing transitive closures of integer relations is the key to finding precise invariants of integer programs. In this paper, we describe an efficient algorithm for computing the transitive closures of difference bounds, octagonal and finite monoid affine relations. On the theoretical side, this framework provides a common solution to the acceleration problem, for all these three classes of relations. In practice, according to our experiments, the new method performs up to four orders of magnitude better than the previous ones, making it a promising approach for the verification of integer programs.
This work was supported by the French national project ANR-09-SEGI-016 VERIDYC, by the Czech Science Foundation (projects P103/10/0306 and 102/09/H042), the Czech Ministry of Education (projects COST OC10009 and MSM 0021630528), and the internal FIT BUT grant FIT-10-1.
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Bozga, M., Iosif, R., Konečný, F. (2010). Fast Acceleration of Ultimately Periodic Relations. In: Touili, T., Cook, B., Jackson, P. (eds) Computer Aided Verification. CAV 2010. Lecture Notes in Computer Science, vol 6174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14295-6_23
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DOI: https://doi.org/10.1007/978-3-642-14295-6_23
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