International Symposium on Automated Technology for Verification and Analysis

Automated Technology for Verification and Analysis pp 48-63 | Cite as

Improving Interpolants for Linear Arithmetic

  • Ernst Althaus
  • Björn Beber
  • Joschka Kupilas
  • Christoph Scholl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9364)


Craig interpolation for satisfiability modulo theory formulas have come more into focus for applications of formal verification. In this paper we, introduce a method to reduce the size of linear constraints used in the description of already computed interpolant in the theory of linear arithmetic with respect to the number of linear constraints. We successfully improve interpolants by combining satisfiability modulo theory and linear programming in a local search heuristic. Our experimental results suggest a lower running time and a larger reduction compared to other methods from the literature.


Craig-interpolation Linear arithmetic Satisfiability modulo theory Linear programming 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Ernst Althaus
    • 1
    • 2
  • Björn Beber
    • 1
  • Joschka Kupilas
    • 1
  • Christoph Scholl
    • 3
  1. 1.Max Planck Institute for InformaticsSaarbrückenGermany
  2. 2.Johannes Gutenberg UniversityMainzGermany
  3. 3.Albert-Ludwigs-UniversitätFreiburg im BreisgauGermany

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