Compiler-Guided Adaptive Proof Search with Cross-Model Synergy on Context-Dependent Theorem Proving

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On September 7, 2026, arXiv cs.CL published a study on the application of compiler-guided adaptive proof search in context-dependent theorem proving. The study proposed a method using cross-model coordination mechanisms to optimize the proof search process by introducing compiler guidance, thereby improving efficiency and accuracy in theorem proving tasks that depend on specific contexts.

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Lean 4miniCTX-v2

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Lean 41
miniCTX-v21

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A arXiv cs.CL en 2026-09-07 12:00

针对依赖项目特定上下文的现实世界 Lean 4 定理证明难题，研究者提出了一种编译器引导的自适应证明搜索框架。该框架通过双模型生成与停滞触发重采样进行探索，并利用基于编译器判对的当前最佳状态优化进行利用。在 miniCTX-v2 数据集上的七项真实 Lean 4 项目实验表明，该方法在 pass@32 预算下，平均通过率提升 12.8 个百分点，同时减少 LLM 调用次数 21.9%，实现了优于 pass@k 基线的方法 - 效率权衡。