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Logico-Numerical Abstract Acceleration and Application to the Verification of Data-Flow Programs

Peter Schrammel 1, * Bertrand Jeannet 1, *
* Corresponding author
1 POP ART - Programming languages, Operating Systems, Parallelism, and Aspects for Real-Time
LIG - Laboratoire d'Informatique de Grenoble, Inria Grenoble - Rhône-Alpes
Abstract : Acceleration methods are commonly used for speeding up the convergence of loops in reachability analysis of counter machine models. Applying these methods to synchronous data-flow programs with Boolean and numerical variables, e.g., Lustre programs, requires the enumeration of the Boolean states in order to obtain a control flow graph (CFG) with numerical variables only. Our goal is to apply acceleration techniques to data-flow programs without resorting to this exhaustive enumeration. To this end, we present (1) logico-numerical abstract acceleration methods for CFGs with Boolean and numerical variables and (2) partitioning techniques that make logical-numerical abstract acceleration effective. Experimental results show that incorporating these methods in a verification tool based on abstract interpretation provides not only significant advantage in terms of accuracy, but also a gain in performance in comparison to standard techniques.
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https://hal.inria.fr/inria-00596241
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Submitted on : Monday, November 19, 2012 - 11:56:34 AM
Last modification on : Tuesday, February 9, 2021 - 3:24:16 PM
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Peter Schrammel, Bertrand Jeannet. Logico-Numerical Abstract Acceleration and Application to the Verification of Data-Flow Programs. [Research Report] RR-7630, INRIA. 2012, pp.22. ⟨inria-00596241v2⟩

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