A fast linear-arithmetic solver for DPLL(T)

  • Authors:

  • Bruno Dutertre;Leonardo de Moura

  • Affiliations:

  • Computer Science Laboratory, SRI International, Menlo Park, CA;Computer Science Laboratory, SRI International, Menlo Park, CA

  • Venue:
  • CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
  • Year:
  • 2006

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Abstract

We present a new Simplex-based linear arithmetic solver that can be integrated efficiently in the DPLL(T) framework. The new solver improves over existing approaches by enabling fast backtracking, supporting a priori simplification to reduce the problem size, and providing an efficient form of theory propagation. We also present a new and simple approach for solving strict inequalities. Experimental results show substantial performance improvements over existing tools that use other Simplex-based solvers in DPLL(T) decision procedures. The new solver is even competitive with state-of-the-art tools specialized for the difference logic fragment.