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        "description": "Inherits lemma decomposition, proof feedback and cost-quality routing. Evaluated on an85problem PutnamBench subset; average savings do not imply uniform savings, optimal stopping or a fully solved benchmark. Router training and inference costs remain relevant.",
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      "statement": "# Cost-aware action routing for agentic Lean proof search\n\nSeparated lemma/proof generation from a learned control plane estimating future attempt success and cost from failed trajectories, choosing whether to retry or restart the decomposition.\n\n## Scientific scope\n\nInherits lemma decomposition, proof feedback and cost-quality routing. Evaluated on an85problem PutnamBench subset; average savings do not imply uniform savings, optimal stopping or a fully solved benchmark. Router training and inference costs remain relevant.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nKári Rögnvaldsson; Chenhao Sun; Jasper Dekoninck; Martin Vechev\n\nSource-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.\n\n\n\n## Original sources\n\n- [Optimizing the Cost-Quality Tradeoff of Agentic Theorem Provers in Lean](https://arxiv.org/abs/2606.04883v1)\n",
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