Efficient Hierarchical Reasoning about Functions over Numerical Domains

  • Viorica Sofronie-Stokkermans
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5243)


We show that many properties studied in mathematical analysis (monotonicity, boundedness, inverse, Lipschitz properties possibly combined with continuity, derivability) are expressible by formulae in a class for which sound and complete hierarchical proof methods for testing satisfiability of sets of ground clauses exist. The results are useful for automated reasoning in analysis and in the verification of hybrid systems.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Viorica Sofronie-Stokkermans
    • 1
  1. 1.Max-Planck-Institut für InformatikSaarbrückenGermany

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