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引用次数: 13

摘要

我们介绍FRAT,一个新的证明格式,为不满意的SAT问题,和它的相关工具链。与DRAT相比,FRAT格式允许求解者在证明中包含更多信息,以减少后续阐述LRAT的计算成本。该格式易于向前和向后解析,并且可以扩展到将来的验证方法。提供可选的证明步骤允许SAT求解器开发人员平衡实现工作量和细化时间,求解器时间几乎没有开销。我们将FRAT工具链与可比较的DRAT工具链进行基准测试,确认精化时间中值减少了84%,峰值内存使用中值减少了94%。
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A Flexible Proof Format for SAT Solver-Elaborator Communication
We introduce FRAT, a new proof format for unsatisfiable SAT problems, and its associated toolchain. Compared to DRAT, the FRAT format allows solvers to include more information in proofs to reduce the computational cost of subsequent elaboration to LRAT. The format is easy to parse forward and backward, and it is extensible to future proof methods. The provision of optional proof steps allows SAT solver developers to balance implementation effort against elaboration time, with little to no overhead on solver time. We benchmark our FRAT toolchain against a comparable DRAT toolchain and confirm >84% median reduction in elaboration time and >94% median decrease in peak memory usage.
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