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English(EN) LRAT-Catcher: Importing SAT Solver Certificates into Lean4 by Reflection

新工具将SAT求解器证书导入Lean 4定理证明器

作者 PulseAugur 编辑部 · [2 个来源] ·

研究人员开发了LRAT-Catcher，一个将SAT求解器证书导入Lean 4定理证明器的工具。该工具利用一个形式化验证的LRAT检查器，通过反射编译为原生代码，使其能够处理比Mathlib的证明项导入更大的实例。LRAT-Catcher还支持在Lean中进行分块求解，将反驳与覆盖完整性证书结合成一个单一的不满足定理。该工具已被用于在Lean中建立Schur数S(4)和Ramsey数R(4,4)作为定理。 AI

影响 增强了复杂组合问题的形式化验证能力，可能有助于AI安全和对齐研究。

排序理由 该条目描述了一个将SAT求解器证书导入定理证明器的新工具和方法，这是形式化方法和逻辑领域的一项研究贡献。[lever_c_demoted from research: ic=1 ai=0.7]

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新工具将SAT求解器证书导入Lean 4定理证明器

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该条目描述了一个将SAT求解器证书导入定理证明器的新工具和方法，这是形式化方法和逻辑领域的一项研究贡献。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [2]

  1. arXiv cs.AI TIER_1 English(EN) · Stefan Szeider ·

    LRAT-Catcher：通过反射将SAT求解器证书导入Lean4

    arXiv:2607.00815v1 Announce Type: cross Abstract: SAT solvers settle combinatorial problems beyond the reach of interactive theorem provers and produce LRAT certificates for independent verification. We present LRAT-Catcher, a standalone, general-purpose tool that imports a DIMAC…

  2. arXiv cs.AI TIER_1 English(EN) · Stefan Szeider ·

    LRAT-Catcher：通过反射将SAT求解器证书导入Lean4

    SAT solvers settle combinatorial problems beyond the reach of interactive theorem provers and produce LRAT certificates for independent verification. We present LRAT-Catcher, a standalone, general-purpose tool that imports a DIMACS formula together with an LRAT certificate into L…

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