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Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination

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arxiv 2304.04292 v1 pith:HBCUH7IV submitted 2023-04-09 cs.LO

Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination

classification cs.LO
keywords cdcleliminationgauss-jordancryptominisatformulasproofproofssolvers
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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