arXiv Machine Learning By Guangyuan Wu, Weining Cao, Zehui Tan, Yuan Yao, Hengfeng Wei, Taolue Chen, Xiaoxing Ma

InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs

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arXiv:2607. 05478v1 Announce Type: new Abstract: Loop invariant inference is a fundamental yet challenging problem in program verification.

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arXiv Computation and Language
Sep 7

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

The paper introduces a compiler-guided adaptive proof search framework for Lean 4 theorem proving, addressing the challenge of context-dependent proofs in real-world projects. It balances exploration and exploitation by generating diverse starting points via dual-model generation and resampling when stagnation occurs, while refining promising states using compiler-grounded pairwise comparison. Experiments on seven Lean 4 projects from miniCTX‑v2 demonstrate that the method improves average pass rates by 12.8 percentage points within a pass@32 budget and reduces LLM calls by 21.9 % compared to pass@k baselines.

By Zhuo Liu, Ding Yu, Hangfeng He