Virtual Substitution for SMT-Solving

  • Florian Corzilius
  • Erika Ábrahám
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6914)


SMT-solving aims at deciding satisfiability for the existential fragment of a first-order theory. A SAT-solver handles the logical part of a given problem and invokes an embedded theory solver to check consistency of theory constraints. For efficiency, the theory solver should be able to work incrementally and generate infeasible subsets. Currently available decision procedures for real algebra – the first-order theory of the reals with addition and multiplication – do not exhibit these features. In this paper we present an adaptation of the virtual substitution method, providing these abilities.


Decision Procedure Consistency Check Conjunction Node Side Condition Left Endpoint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Florian Corzilius
    • 1
  • Erika Ábrahám
    • 1
  1. 1.RWTH Aachen UniversityGermany

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