Abstract
This paper presents a publicly available toolkit and a benchmark suite for rigorous verification of Integer Numerical Transition Systems (INTS), which can be viewed as control-flow graphs whose edges are annotated by Presburger arithmetic formulas. We present Flata and Eldarica, two verification tools for INTS. The Flata system is based on precise acceleration of the transition relation, while the Eldarica system is based on predicate abstraction with interpolation-based counterexample-driven refinement. The Eldarica verifier uses the Princess theorem prover as a sound and complete interpolating prover for Presburger arithmetic. Both systems can solve several examples for which previous approaches failed, and present a useful baseline for verifying integer programs. The infrastructure is a starting point for rigorous benchmarking, competitions, and standardized communication between tools.
Supported by the Rich Model Toolkit initiative, http://richmodels.org , the Czech Science Foundation (projects P103/10/0306 and 102/09/H042), the Czech Ministry of Education (COST OC10009 and MSM 0021630528), the EU/CzechIT4Innovations Centre of Excellence project CZ.1.05/1.1.00/02.0070, the BUT project FIT-12-1 and the Microsoft Innovation Cluster for Embedded Software.
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Hojjat, H., Konečný, F., Garnier, F., Iosif, R., Kuncak, V., Rümmer, P. (2012). A Verification Toolkit for Numerical Transition Systems. In: Giannakopoulou, D., Méry, D. (eds) FM 2012: Formal Methods. FM 2012. Lecture Notes in Computer Science, vol 7436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32759-9_21
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DOI: https://doi.org/10.1007/978-3-642-32759-9_21
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