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A Verified Implementation of the DPLL Algorithm in Dafny

Author

Listed:
  • Cezar-Constantin Andrici

    (Max Planck Institute for Security and Privacy, 44799 Bochum, Germany
    Cezar-Constantin Andrici: Part of the work was performed while affiliated to the Alexandru Ioan Cuza University in Iași.)

  • Ștefan Ciobâcă

    (Faculty of Computer Science, Alexandru Ioan Cuza University, 700506 Iași, Romania)

Abstract

We present a DPLL SAT solver, which we call TrueSAT, developed in the verification-enabled programming language Dafny. We have fully verified the functional correctness of our solver by constructing machine-checked proofs of its soundness, completeness, and termination. We present a benchmark of the execution time of TrueSAT and we show that it is competitive against an equivalent DPLL solver implemented in C++, although it is still slower than state-of-the-art CDCL solvers. Our solver serves as a significant case study of a machine-verified software system. The benchmark also shows that auto-active verification is a promising approach to increasing trust in SAT solvers, because it combines execution speed with a high degree of trustworthiness.

Suggested Citation

  • Cezar-Constantin Andrici & Ștefan Ciobâcă, 2022. "A Verified Implementation of the DPLL Algorithm in Dafny," Mathematics, MDPI, vol. 10(13), pages 1-26, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2264-:d:850381
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