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Using Stålmarck’s Algorithm to Prove Inequalities

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Formal Methods and Software Engineering (ICFEM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 3785))

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Abstract

Stålmarck’s 1-saturation algorithm is an incomplete but fast method for computing partial equivalence relations over propositional formulae. Aside from anecdotal evidence, until now little has been known about what it can prove. In this paper we characterize a set of formulae with bitvector-inequalities for which 1-saturation is sufficient to prove unsatisfiability. This result has application to fast predicate abstraction for software with fixed-width bit-vectors.

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© 2005 Springer-Verlag Berlin Heidelberg

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Cook, B., Gonthier, G. (2005). Using Stålmarck’s Algorithm to Prove Inequalities. In: Lau, KK., Banach, R. (eds) Formal Methods and Software Engineering. ICFEM 2005. Lecture Notes in Computer Science, vol 3785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11576280_23

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  • DOI: https://doi.org/10.1007/11576280_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29797-0

  • Online ISBN: 978-3-540-32250-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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