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arXiv · 1304.6482

Improved Static Analysis of Parameterised Boolean Equation Systems using Control Flow Reconstruction

Jeroen J. A. Keiren·Wieger Wesselink·Tim A. C. Willemse
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Abstract

We present a sound static analysis technique for fighting the combinatorial explosion of parameterised Boolean equation systems (PBESs). These essentially are systems of mutually recursive fixed point equations ranging over first-order logic formulae. Our method detects parameters that are not live by analysing a control flow graph of a PBES, and it subsequently eliminates such parameters. We show that a naive approach to constructing a control flow graph, needed for the analysis, may suffer from an exponential blow-up, and we define an approximate analysis that avoids this problem. The effectiveness of our techniques is evaluated using a number of case studies.

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Jeroen J. A. Keiren, Wieger Wesselink, Tim A. C. Willemse. 2013-04-24. Improved Static Analysis of Parameterised Boolean Equation Systems using Control Flow Reconstruction. https://doi.org/10.1007/978-3-319-11936-6_16

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