Extending Abstract Acceleration Methods to Data-Flow Programs with Numerical Inputs

Abstract : Acceleration methods are commonly used for computing precisely the effects of loops in the reachability analysis of counter machine models. Applying these methods on synchronous data-flow programs with Boolean and numerical variables, e.g. Lustre programs, firstly requires the enumeration of the Boolean states in order to obtain a control graph with numerical variables only. Secondly, acceleration methods have to deal with the non-determinism introduced by numerical input variables. In this article we address the latter problem by extending the concept of abstract acceleration of Gonnord et al. to numerical input variables.
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Enric Rodríguez Carbonell and Antoine Miné. Numerical and Symbolic Abstract Domains, Sep 2010, Perpignan, France. Elsevier, 267, pp.101-114, 2010, ENTCS. 〈10.1016/j.entcs.2010.09.009〉
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Peter Schrammel, Bertrand Jeannet. Extending Abstract Acceleration Methods to Data-Flow Programs with Numerical Inputs. Enric Rodríguez Carbonell and Antoine Miné. Numerical and Symbolic Abstract Domains, Sep 2010, Perpignan, France. Elsevier, 267, pp.101-114, 2010, ENTCS. 〈10.1016/j.entcs.2010.09.009〉. 〈hal-00749914〉

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