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Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination

Logic in Computer Science 2023-04-11 v1

Abstract

Traditional Boolean satisfiability (SAT) solvers based on the conflict-driven clause-learning (CDCL) framework fare poorly on formulas involving large numbers of parity constraints. The CryptoMiniSat solver augments CDCL with Gauss-Jordan elimination to greatly improve performance on these formulas. Integrating the TBUDDY proof-generating BDD library into CryptoMiniSat enables it to generate unsatisfiability proofs when using Gauss-Jordan elimination. These proofs are compatible with standard, clausal proof frameworks.

Keywords

Cite

@article{arxiv.2304.04292,
  title  = {Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination},
  author = {Mate Soos and Randal E. Bryant},
  journal= {arXiv preprint arXiv:2304.04292},
  year   = {2023}
}

Comments

Presented at 2022 Workshop on the Pragmatics of SAT

R2 v1 2026-06-28T09:56:26.378Z