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Reports (Research Report) Year : 2011

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

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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Dates and versions

inria-00596241 , version 1 (26-05-2011)
inria-00596241 , version 2 (19-11-2012)

Identifiers

  • HAL Id : inria-00596241 , version 1

Cite

Peter Schrammel, Bertrand Jeannet. Logico-Numerical Abstract Acceleration and Application to the Verification of Data-Flow Programs. [Research Report] RR-7630, 2011, pp.20. ⟨inria-00596241v1⟩

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