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arXiv · 2304.04292

Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination

Mate Soos·Randal E. Bryant
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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.

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Mate Soos, Randal E. Bryant. 2023-04-09. Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination. https://arxiv.org/abs/2304.04292

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