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TACAS
2010
Springer

Ranking Function Synthesis for Bit-Vector Relations

14 years 7 months ago
Ranking Function Synthesis for Bit-Vector Relations
Ranking function synthesis is a key aspect to the success of modern termination provers for imperative programs. While it is wellknown how to generate linear ranking functions for relations over (mathematical) integers or rationals, efficient synthesis of ranking functions for machine-level integers (bit-vectors) is an open problem. This is particularly relevant for the verification of low-level code. We propose several novel algorithms to generate ranking functions for relations over machine integers: a complete method based on a reduction to Presburger arithmetic, and a template-matching approach for predefined classes of ranking functions based on reduction to SAT- and QBF-solving. The utility of our algorithms is demonstrated on examples drawn from Windows device drivers.
Byron Cook, Daniel Kroening, Philipp Rümmer,
Added 14 May 2010
Updated 14 May 2010
Type Conference
Year 2010
Where TACAS
Authors Byron Cook, Daniel Kroening, Philipp Rümmer, Christoph M. Wintersteiger
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