{"id":38932,"date":"2025-02-26T02:01:45","date_gmt":"2025-02-25T18:01:45","guid":{"rendered":"https:\/\/17aitech.com\/?p=38932"},"modified":"2025-02-26T02:01:45","modified_gmt":"2025-02-25T18:01:45","slug":"%e8%b6%85%e8%b6%8adeepseek-proverv1-5%ef%bc%81%e8%b1%86%e5%8c%85%e9%a6%96%e4%b8%aa%e5%bd%a2%e5%bc%8f%e5%8c%96%e6%95%b0%e5%ad%a6%e6%8e%a8%e7%90%86%e6%a8%a1%e5%9e%8bbfs-prover%e6%9d%a5%e4%ba%86%ef%bc%8c","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38932","title":{"rendered":"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-25-6\" target=\"_blank\">\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90<\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png\"><\/a><\/p>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"166\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>AIxiv\u4e13\u680f\u662f\u673a\u5668\u4e4b\u5fc3\u53d1\u5e03\u5b66\u672f\u3001\u6280\u672f\u5185\u5bb9\u7684\u680f\u76ee\u3002\u8fc7\u53bb\u6570\u5e74\uff0c\u673a\u5668\u4e4b\u5fc3AIxiv\u4e13\u680f\u63a5\u6536\u62a5\u9053\u4e862000\u591a\u7bc7\u5185\u5bb9\uff0c\u8986\u76d6\u5168\u7403\u5404\u5927\u9ad8\u6821\u4e0e\u4f01\u4e1a\u7684\u9876\u7ea7\u5b9e\u9a8c\u5ba4\uff0c\u6709\u6548\u4fc3\u8fdb\u4e86\u5b66\u672f\u4ea4\u6d41\u4e0e\u4f20\u64ad\u3002\u5982\u679c\u60a8\u6709\u4f18\u79c0\u7684\u5de5\u4f5c\u60f3\u8981\u5206\u4eab\uff0c\u6b22\u8fce\u6295\u7a3f\u6216\u8005\u8054\u7cfb\u62a5\u9053\u3002\u6295\u7a3f\u90ae\u7bb1\uff1aliyazhou@jiqizhixin.com\uff1bzhaoyunfeng@jiqizhixin.com<\/p>\n<\/section>\n<\/blockquote>\n<section><\/section>\n<section>\u81ea\u52a8\u5f62\u5f0f\u5316\u6570\u5b66\u5b9a\u7406\u8bc1\u660e\uff0c\u662f\u4eba\u5de5\u667a\u80fd\u5728\u6570\u5b66\u63a8\u7406\u9886\u57df\u7684\u91cd\u8981\u5e94\u7528\u65b9\u5411\u3002\u6b64\u7c7b\u4efb\u52a1\u9700\u8981\u5c06\u6570\u5b66\u547d\u9898\u548c\u8bc1\u660e\u6b65\u9aa4\u8f6c\u5316\u4e3a\u8ba1\u7b97\u673a\u53ef\u9a8c\u8bc1\u7684\u4ee3\u7801\uff0c\u8fd9\u4e0d\u4ec5\u80fd\u786e\u4fdd\u63a8\u7406\u8fc7\u7a0b\u7684\u7edd\u5bf9\u4e25\u8c28\u6027\uff0c\u8fd8\u80fd\u6784\u5efa\u53ef\u590d\u7528\u7684\u6570\u5b66\u77e5\u8bc6\u5e93\uff0c\u4e3a\u79d1\u5b66\u7814\u7a76\u63d0\u4f9b\u575a\u5b9e\u57fa\u7840\u3002<\/section>\n<section><\/section>\n<section>\u65e9\u5728\u4e0a\u4e16\u7eaa\u4e2d\u53f6\uff0c\u6234\u7ef4\u65af\u3001\u660e\u65af\u57fa\u7b49\u4e0d\u5c11\u903b\u8f91\u5b66\u5bb6\u3001\u6570\u5b66\u5bb6\u3001\u4eba\u5de5\u667a\u80fd\u5148\u9a71\u4fbf\u5df2\u5728\u63a2\u7d22\u76f8\u5173\u95ee\u9898\uff0c\u5176\u4e2d\uff0c\u4e5f\u4e0d\u4e4f\u738b\u6d69\u3001\u5434\u6587\u4fca\u7b49\u534e\u4eba\u8eab\u5f71\u3002<\/section>\n<section><\/section>\n<section>\u8fd1\u4e9b\u5e74\u5728 LLM \u80fd\u529b\u52a0\u6301\u4e0b\uff0c\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\u66f4\u591a\u4f9d\u8d56\u4e8e\u590d\u6742\u7684\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22 (MCTS) \u6216\u4ef7\u503c\u51fd\u6570 (Value Function) \u6765\u6307\u5bfc\u641c\u7d22\u8fc7\u7a0b\u3002<\/section>\n<section><\/section>\n<section>\u7136\u800c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u5f15\u5165\u4e86\u989d\u5916\u8ba1\u7b97\u6210\u672c\uff0c\u5e76\u589e\u52a0\u7cfb\u7edf\u590d\u6742\u5ea6\uff0c\u4f7f\u6a21\u578b\u5728\u5927\u89c4\u6a21\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u53ef\u6269\u5c55\u6027\u53d7\u9650\u3002<\/section>\n<section><\/section>\n<section><strong>\u5b57\u8282\u8df3\u52a8\u8c46\u5305\u5927\u6a21\u578b\u56e2\u961f\u63a8\u51fa\u7684 BFS-Prover \u6311\u6218\u4e86\u8fd9\u4e00\u4f20\u7edf\u8303\u5f0f\u3002<\/strong><\/section>\n<section><\/section>\n<section>\u4f5c\u4e3a\u4e00\u79cd\u66f4\u7b80\u5355\u3001\u66f4\u8f7b\u91cf\u4f46\u6781\u5177\u7ade\u4e89\u529b\u7684\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\uff0c\u5b83\u5f15\u5165\u4e86\u4e09\u9879\u5173\u952e\u6280\u672f\uff1a1\uff09\u4e13\u5bb6\u8fed\u4ee3 (Expert Iteration) \u4e0e\u81ea\u9002\u5e94\u6027\u6570\u636e\u8fc7\u6ee4\uff0c2\uff09\u76f4\u63a5\u504f\u597d\u4f18\u5316 (DPO) \u7ed3\u5408 Lean4 \u7f16\u8bd1\u5668\u53cd\u9988\uff0c3\uff09BFS \u4e2d\u7684\u957f\u5ea6\u5f52\u4e00\u5316\u3002<\/section>\n<section><\/section>\n<section><strong>\u4ece\u7ed3\u679c\u770b\uff0cBFS-Prover \u5728\u5f62\u5f0f\u5316\u6570\u5b66\u6d4b\u8bd5\u96c6 MiniF2F \u4e0a\u5b9e\u73b0\u4e86 72.95% \u7684\u51c6\u786e\u7387\uff0c\u521b\u9020\u4e86\u65b0\u7684\u9886\u57df\u8bb0\u5f55\u3002<\/strong><\/section>\n<section><\/section>\n<section>\u8be5\u7ed3\u679c\u4e5f\u9996\u6b21\u8bc1\u660e\uff1a\u5728\u5408\u7406\u7684\u4f18\u5316\u7b56\u7565\u4e0b\uff0c\u7b80\u5355\u7684 BFS \u65b9\u6cd5\u80fd\u591f\u8d85\u8d8a\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08MCTS\uff09\u548c\u4ef7\u503c\u51fd\u6570\uff08Value Function\uff09\u7b49\u4e3b\u6d41\u7684\u590d\u6742\u641c\u7d22\u7b97\u6cd5\u3002<\/section>\n<section><\/section>\n<section><strong>\u76ee\u524d\uff0c\u8bba\u6587\u6210\u679c\u5df2\u5bf9\u5916\u516c\u5f00\uff0c\u6a21\u578b\u4e5f\u6700\u65b0\u5f00\u6e90\uff0c\u671f\u5f85\u4e0e\u76f8\u5173\u7814\u7a76\u8005\u505a\u66f4\u8fdb\u4e00\u6b65\u4ea4\u6d41\u3002<\/strong><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5e8388a37b1423923a4f8cb3d92ab15e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5e8388a37b1423923a4f8cb3d92ab15e.png\"><\/a><\/section>\n<ul>\n<li>\n<p>BFS-Prover: Scalable Best-First Tree Search for LLM-based Automatic Theorem Proving<\/p>\n<\/li>\n<li>\n<p>https:\/\/arxiv.org\/abs\/2502.03438<\/p>\n<\/li>\n<li>\n<p>HuggingFace\uff1ahttps:\/\/huggingface.co\/bytedance-research\/BFS-Prover<\/p>\n<\/li>\n<\/ul>\n<section><strong>Part1\uff1a\u4e3b\u6d41\u65b9\u6cd5\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\u548c\u4ef7\u503c\u51fd\u6570\u771f\u7684\u5fc5\u8981\u4e48\uff1f<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u5f62\u5f0f\u5316\u6570\u5b66\u8bc1\u660e\u9886\u57df\uff0c\u5c06\u62bd\u8c61\u7684\u6570\u5b66\u6982\u5ff5\u8f6c\u5316\u4e3a\u80fd\u591f\u7528\u8ba1\u7b97\u673a\u9a8c\u8bc1\u7684\u4e25\u683c\u5f62\u5f0f\uff0c\u662f\u4e00\u9879\u6781\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002<\/section>\n<section><\/section>\n<section>\u8be5\u8fc7\u7a0b\u8981\u6c42\u6bcf\u4e00\u6b65\u63a8\u7406\u90fd\u7b26\u5408\u4e25\u683c\u7684\u5f62\u5f0f\u903b\u8f91\u89c4\u5219\uff0c\u4e14\u6bcf\u4e2a\u6b65\u9aa4\u90fd\u5fc5\u987b\u7ecf\u8fc7 Lean \u8bc1\u660e\u52a9\u624b\u9a8c\u8bc1\u3002<\/section>\n<section><\/section>\n<section>\u5728\u81ea\u52a8\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u8fc7\u7a0b\u4e2d\uff0c\u8ba1\u7b97\u673a\u9762\u4e34\u7684\u6838\u5fc3\u6311\u6218\u662f \u2014\u2014 \u5728\u5e9e\u5927\u4e14\u9ad8\u5ea6\u7ed3\u6784\u5316\u7684\u8bc1\u660e\u7a7a\u95f4\u4e2d\uff0c\u627e\u51fa\u6709\u6548\u8def\u5f84\u3002\u8fd9\u4e00\u96be\u70b9\u4e0e\u4f20\u7edf\u641c\u7d22\u95ee\u9898\u6709\u672c\u8d28\u533a\u522b\uff0c\u5177\u4f53\u8868\u73b0\u5982\u4e0b\uff1a<\/section>\n<ul>\n<li>\n<p><strong>\u641c\u7d22\u7a7a\u95f4\u5e9e\u5927\uff1a<\/strong>\u6bcf\u4e00\u6b65\u63a8\u7406\u53ef\u80fd\u6709\u6570\u5341\u751a\u81f3\u4e0a\u767e\u79cd\u53ef\u80fd\u7684\u7b56\u7565\u9009\u62e9\uff1b<\/p>\n<\/li>\n<li>\n<p><strong>\u52a8\u6001\u53d8\u5316\u7684\u7b56\u7565\u7a7a\u95f4\uff1a<\/strong>\u4e0d\u540c\u4e8e\u68cb\u7c7b\u6e38\u620f\u7684\u56fa\u5b9a\u89c4\u5219\uff0c\u6570\u5b66\u5b9a\u7406\u8bc1\u660e\u4e2d\uff0c\u6bcf\u4e2a\u72b6\u6001\u4e0b\u53ef\u5e94\u7528\u7684\u7b56\u7565\u96c6\u5408\u4e0d\u65ad\u53d8\u5316\uff0c\u4e14\u89c4\u6a21\u5e9e\u5927\u4e14\u65e0\u660e\u786e\u754c\u9650\uff1b<\/p>\n<\/li>\n<li>\n<p><strong>\u53cd\u9988\u7a00\u758f\u4e0e\u5ef6\u8fdf\uff1a<\/strong>\u76f4\u5230\u5b8c\u6210\u8bc1\u660e\u524d\uff0c\u7cfb\u7edf\u5f88\u96be\u83b7\u5f97\u6709\u6548\u7684\u4e2d\u95f4\u53cd\u9988\uff1b<\/p>\n<\/li>\n<li>\n<p><strong>\u5f00\u653e\u5f0f\u63a8\u7406\u8fc7\u7a0b\uff1a<\/strong>\u7f3a\u4e4f\u660e\u786e\u7684\u7ec8\u6b62\u6761\u4ef6\uff0c\u8bc1\u660e\u5c1d\u8bd5\u53ef\u80fd\u65e0\u9650\u5ef6\u7eed\uff1b<\/p>\n<\/li>\n<\/ul>\n<section>\u73b0\u6709\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\u5982 DeepSeek-Prover-V1.5\u3001InternLM2.5-StepProver \u548c HunyuanProver\uff0c\u4e3b\u8981\u4f9d\u8d56\u590d\u6742\u7684\u8499\u7279\u5361\u6d1b\u6811\u641c\u7d22\uff08MCTS\uff09\u548c\u4ef7\u503c\u51fd\u6570\uff08Value Function\uff09\u89e3\u51b3\u4e0a\u8ff0\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e9b\u7c7b AlphaZero \u7b97\u6cd5\u6846\u67b6\u5728\u6e38\u620f\u4e2d\u8868\u73b0\u51fa\u8272\uff0c\u5c24\u5176\u5728\u56f4\u68cb\u9886\u57df\u5927\u653e\u5f02\u5f69\uff0c\u63a8\u52a8\u4e86\u5f3a\u5316\u5b66\u4e60\u6982\u5ff5\u7834\u5708\u3002\u4f46\u5728\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u9886\u57df\uff0c\u7531\u4e8e\u72b6\u6001\u7a7a\u95f4\u6781\u5176\u590d\u6742\u4ee5\u53ca\u7f3a\u4e4f\u660e\u786e\u7684\u8fc7\u7a0b\u5956\u52b1\u4fe1\u53f7\uff0c\u4e0a\u8ff0\u4e3b\u6d41\u65b9\u6cd5\u6548\u679c\u5e76\u4e0d\u7406\u60f3\u3002\u6b64\u5916\uff0c\u590d\u6742\u7684\u641c\u7d22\u7b97\u6cd5\u8fd8\u5e26\u6765\u4e86\u8ba1\u7b97\u6210\u672c\u9ad8\u3001\u7cfb\u7edf\u590d\u6742\u5ea6\u589e\u52a0\u7b49\u95ee\u9898\u3002<\/section>\n<section><\/section>\n<section><strong>Part2\uff1a\u5316\u7e41\u4e3a\u7b80\uff0c\u7528\u673a\u5668\u8bc1\u660e\u6570\u5b66\u5b9a\u7406\u53ef\u4ee5\u66f4\u7b80\u5355<\/strong><\/section>\n<section><\/section>\n<section>\u4eba\u7c7b\u9047\u5230\u95ee\u9898\uff0c\u5f80\u5f80\u4f18\u5148\u91c7\u7528\u6700\u53ef\u80fd\u89e3\u51b3\u7684\u65b9\u6cd5\u3002\u6700\u4f18\u5148\u6811\u641c\u7d22\uff08Best-First Tree Search\uff0c\u5373 BFS\uff09\u4e0e\u4e4b\u7c7b\u4f3c\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u662f\u4e00\u79cd\u5728 \u201c\u6811\u201d \u6216 \u201c\u56fe\u201d \u4e2d\u641c\u7d22\u8282\u70b9\u7684\u7b97\u6cd5\u3002\u6838\u5fc3\u601d\u60f3\u662f\u6839\u636e\u67d0\u79cd\u542f\u53d1\u5f0f\u51fd\u6570\uff0c\u8bc4\u4f30\u6bcf\u4e2a\u8282\u70b9\u4f18\u5148\u7ea7\uff0c\u6309\u4f18\u5148\u7ea7\u8bbf\u95ee\u8282\u70b9\uff0c\u5e38\u7528\u4e8e\u89e3\u51b3\u7ea6\u675f\u6ee1\u8db3\u95ee\u9898\u548c\u7ec4\u5408\u4f18\u5316\u95ee\u9898\uff0c\u7279\u522b\u662f\u5728\u9700\u8981\u5feb\u901f\u627e\u5230\u8fd1\u4f3c\u6700\u4f18\u89e3\u7684\u60c5\u51b5\u4e0b\u3002<\/section>\n<section><\/section>\n<section>\u6b64\u524d\u4e0d\u5c11\u7814\u7a76\u8005\u8ba4\u4e3a\uff0c\u7b80\u5355\u7684 BFS \u7b97\u6cd5\u7f3a\u4e4f\u6709\u6548\u7684\u63a2\u7d22\u673a\u5236\uff0c\u5c24\u5176\u662f\u5bf9\u6df1\u5ea6\u8def\u5f84\u7684\u63a2\u7d22\uff0c\u96be\u4ee5\u80dc\u4efb\u5927\u89c4\u6a21\u5b9a\u7406\u8bc1\u660e\u4efb\u52a1\uff0c\u4f46\u8c46\u5305\u5927\u6a21\u578b\u56e2\u961f\u7684\u7814\u7a76\u8005\u53d1\u73b0\u4e86\u5176\u4e2d\u7684\u7a81\u7834\u53e3\uff0c\u5e76\u63d0\u51fa\u4e86 BFS-Prover \u7cfb\u7edf\u3002<\/section>\n<section><\/section>\n<section>\u4e0b\u56fe\u5c55\u793a\u4e86 BFS-Prover \u7cfb\u7edf\u7684\u6574\u4f53\u67b6\u6784\u548c\u5de5\u4f5c\u6d41\u7a0b\u3002<\/section>\n<section><\/section>\n<section>\u53f3\u4fa7\u5c55\u793a\u4e86\u8bad\u7ec3\u6570\u636e\u751f\u6210\u8fc7\u7a0b\uff0c\u5305\u62ec\u7528\u4e8e\u76d1\u7763\u5fae\u8c03\u7684 SFT \u6570\u636e (\u6210\u529f\u8bc1\u660e\u8def\u5f84\u4e0a\u7684\u72b6\u6001 &#8211; \u7b56\u7565\u5bf9) \u548c\u7528\u4e8e\u76f4\u63a5\u504f\u597d\u4f18\u5316\u7684 DPO \u6570\u636e (\u4ece\u540c\u4e00\u72b6\u6001\u51fa\u53d1\u7684\u6b63\u786e\u7b56\u7565\u4e0e\u9519\u8bef\u7b56\u7565\u7684\u5bf9\u6bd4)\u3002<\/section>\n<section><\/section>\n<section>\u5de6\u4fa7\u5c55\u793a\u4e86 BFS \u673a\u5236\uff0c\u901a\u8fc7 LeanDojo \u73af\u5883\u4e0e Lean4 \u4ea4\u4e92\uff0c\u4ece\u6839\u8282\u70b9\u5f00\u59cb\uff0c\u6309\u7167\u4f18\u5148\u7ea7\u987a\u5e8f (1\u21922\u21923&#8230;) \u63a2\u7d22\u8bc1\u660e\u8def\u5f84\uff0c\u76f4\u5230\u627e\u5230\u8bc1\u660e\u5b8c\u6210\u8282\u70b9 (\u7eff\u8272 A \u70b9)\u3002<\/section>\n<section><\/section>\n<section>\u6574\u4e2a\u7cfb\u7edf\u5f62\u6210\u95ed\u73af\uff1aLLM \u751f\u6210\u7b56\u7565 \u2192 LeanDojo \u6267\u884c \u2192 \u83b7\u53d6\u53cd\u9988 \u2192 \u751f\u6210\u8bad\u7ec3\u6570\u636e\u2192\u4f18\u5316 LLM \u2192 \u518d\u6b21\u751f\u6210\u7b56\u7565\uff0c\u5b9e\u73b0\u4e86\u6301\u7eed\u6539\u8fdb\u7684\u4e13\u5bb6\u8fed\u4ee3\u673a\u5236\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-de20641757f4983925544b2b1776eb1d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-de20641757f4983925544b2b1776eb1d.png\"><\/a><\/section>\n<section>\u56e2\u961f\u8ba4\u4e3a\uff0cBFS-Prover \u7cfb\u7edf\u4e0d\u4ec5\u8bc1\u660e\u4e86\u7ecf\u8fc7\u4f18\u5316\u7684 BFS \u65b9\u6cd5\u6027\u80fd\u65b9\u9762\u53ef\u4ee5\u8d85\u8d8a\u590d\u6742\u7684 MCTS \u548c\u4ef7\u503c\u51fd\u6570\uff0c\u5e76\u4e14\u80fd\u4fdd\u6301\u67b6\u6784\u7684\u7b80\u6d01\u6027\u548c\u8ba1\u7b97\u6548\u7387\u3002\u5176\u6280\u672f\u7279\u5f81\u5982\u4e0b\uff1a<\/section>\n<ul>\n<li>\n<p><strong>\u8ba9\u6a21\u578b\u65e2\u80fd\u6df1\u5ea6\u601d\u8003\u7b56\u7565\uff0c\u4e5f\u80fd\u638c\u63e1\u6700\u7b80\u8bc1\u660e\u65b9\u5f0f<\/strong><\/p>\n<\/li>\n<\/ul>\n<section>BFS-Prover \u91c7\u7528\u4e13\u5bb6\u8fed\u4ee3\u6846\u67b6\uff0c\u901a\u8fc7\u591a\u8f6e\u8fed\u4ee3\u4e0d\u65ad\u589e\u5f3a LLM \u80fd\u529b\u3002\u5728\u6bcf\u8f6e\u8fed\u4ee3\u4e2d\uff0c\u7cfb\u7edf\u4f1a\u5148\u4f7f\u7528\u786e\u5b9a\u6027\u7684\u675f\u641c\u7d22 (Beam Search) \u65b9\u6cd5\u8fc7\u6ee4\u6389\u5bb9\u6613\u89e3\u51b3\u7684\u5b9a\u7406\uff0c\u5c06\u8fd9\u4e9b \u201c\u7b80\u5355\u95ee\u9898\u201d \u4ece\u8bad\u7ec3\u6570\u636e\u4e2d\u5254\u9664\uff0c\u518d\u7740\u624b\u89e3\u51b3 \u201c\u590d\u6742\u95ee\u9898\u201d\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e00\u6570\u636e\u8fc7\u6ee4\u673a\u5236\u9887\u5177\u521b\u65b0\u6027\uff0c\u786e\u4fdd\u4e86\u8bad\u7ec3\u6570\u636e\u9010\u6e10\u5411\u66f4\u5177\u6311\u6218\u6027\u7684\u5b9a\u7406\u8bc1\u660e\u4efb\u52a1\u503e\u659c\uff0c\u4f7f LLM \u80fd\u591f\u5b66\u4e60\u66f4\u591a\u5143\u5316\u7684\u8bc1\u660e\u7b56\u7565\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u5b9e\u9a8c\u6570\u636e\u663e\u793a\uff0c\u968f\u8fed\u4ee3\u8fdb\u884c\uff0c\u7cfb\u7edf\u80fd\u591f\u53d1\u73b0\u8bc1\u660e\u7684\u5e73\u5747\u957f\u5ea6\u53d8\u957f\uff0c\u8986\u76d6\u9762\u53d8\u5e7f\uff0c\u8bc1\u660e\u4e86\u8fd9\u4e00\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-94dbd25acac0a53923dcd926bb223fdc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-94dbd25acac0a53923dcd926bb223fdc.png\"><\/a><\/section>\n<section>\u4e0e\u6b64\u540c\u65f6\uff0cLLM \u751f\u6210\u7684\u7b56\u7565\u5206\u5e03\u4e5f\u53d1\u751f\u8fdb\u5316\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u7ecf\u8fc7\u591a\u8f6e\u8fed\u4ee3\uff0c\u6a21\u578b\u751f\u6210\u7684\u7b56\u7565\u957f\u5ea6\u5206\u5e03\u53d1\u751f\u4e86\u663e\u8457\u53d8\u5316\uff1a\u975e\u5e38\u77ed\u7684\u7b56\u7565\uff081-10 \u4e2a token\uff09\u6bd4\u4f8b\u4e0b\u964d\uff0c\u800c\u4e2d\u7b49\u957f\u5ea6\u7b56\u7565\uff0811-50 \u4e2a token\uff09\u6bd4\u4f8b\u5219\u6709\u6240\u589e\u52a0\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u79cd\u5206\u5e03\u53d8\u5316\u8868\u660e\uff0cLLM \u201c\u6df1\u5ea6\u601d\u8003\u80fd\u529b\u201d \u5728\u52a0\u5f3a\uff0c\u907f\u514d\u4e86\u5e38\u89c1\u7684\u5f3a\u5316\u5b66\u4e60\u5bfc\u81f4\u7684\u5206\u5e03\u574d\u7f29\u95ee\u9898\uff0c\u5e76\u9010\u6e10\u638c\u63e1\u4e86\u66f4\u590d\u6742\u3001\u66f4\u4fe1\u606f\u4e30\u5bcc\u7684\u8bc1\u660e\u7b56\u7565\u3002<\/section>\n<section><\/section>\n<section>\u540c\u65f6\uff0c\u6a21\u578b\u751f\u6210\u7b80\u6d01\u7b56\u7565\u7684\u80fd\u529b\u5e76\u672a\u6452\u5f03\u3002\u8fd9\u79cd\u591a\u6837\u7b56\u7565\u751f\u6210\u80fd\u529b\u7684\u4fdd\u6301\u5bf9\u4e8e\u6709\u6548\u5b9a\u7406\u8bc1\u660e\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u4e0d\u540c\u7684\u8bc1\u660e\u72b6\u6001\uff0c\u9700\u8981\u4e0d\u540c\u590d\u6742\u5ea6\u7684\u7b56\u7565\uff0c\u6db5\u76d6\u4ece\u7b80\u5355\u7684\u9879\u91cd\u5199\u5230\u590d\u6742\u7684\u4ee3\u6570\u64cd\u4f5c\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-176b13434f496b97830b6889560f07bc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-176b13434f496b97830b6889560f07bc.png\"><\/a><\/section>\n<ul>\n<li>\n<p><strong>\u4ece\u8fc7\u7a0b\u4e2d\u603b\u7ed3 \u201c\u9519\u8bef\u8bc1\u660e\u6b65\u9aa4\u201d\uff0c\u63d0\u5347\u8bc1\u660e\u80fd\u529b<\/strong><\/p>\n<\/li>\n<\/ul>\n<section>\u5728\u8bc1\u660e\u641c\u7d22\u8fc7\u7a0b\u4e2d\uff0c\u5f53 LLM \u751f\u6210\u7684\u67d0\u4e9b\u7b56\u7565\u5bfc\u81f4 Lean4 \u7f16\u8bd1\u5668\u9519\u8bef\uff0c\u7cfb\u7edf\u5c06\u8fd9\u4e9b\u65e0\u6548\u7b56\u7565\u4e0e\u6210\u529f\u7b56\u7565\u914d\u5bf9\uff0c\u5f62\u6210\u8d1f\u53cd\u9988\u4fe1\u53f7\u3002<\/section>\n<section><\/section>\n<section>BFS-Prover \u521b\u65b0\u6027\u5730\u4f9d\u9760\u8fd9\u4e9b\u6570\u636e\uff0c\u57fa\u4e8e\u76f4\u63a5\u504f\u597d\u4f18\u5316 (DPO) \u6280\u672f\u4f18\u5316\u7b56\u7565 LLM\u3002\u6b64\u79cd\u65b9\u6cd5\u663e\u8457\u63d0\u9ad8\u4e86\u6a21\u578b\u8bc6\u522b\u6709\u6548\u7b56\u7565\u7684\u80fd\u529b\uff0c\u4f18\u5316\u4e86\u7b56\u7565\u5206\u5e03\uff0c\u63d0\u9ad8 BFS \u7684\u91c7\u6837\u6548\u7387\u3002<\/section>\n<section><\/section>\n<section>\u5982\u4e0b\u56fe\u5b9e\u9a8c\u7ed3\u679c\uff0c\u5728\u5404\u79cd\u8ba1\u7b97\u91cf\u7ea7\u4e0b\uff0c\u7ecf\u8fc7 DPO \u4f18\u5316\u7684\u6a21\u578b\u5747\u53d6\u5f97\u4e86\u6027\u80fd\u63d0\u5347\uff0c\u8bc1\u660e\u4e86\u8d1f\u9762\u4fe1\u53f7\u5728\u5b9a\u7406\u8bc1\u660e\u4e2d\u7684\u91cd\u8981\u4ef7\u503c\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9897ae9bb98f7f423cf50a8f310c06df.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9897ae9bb98f7f423cf50a8f310c06df.png\"><\/a><\/section>\n<ul>\n<li>\n<p><strong>\u907f\u514d\u5bf9\u6df1\u5ea6\u63a8\u7406\u7684\u6253\u538b\uff0c\u5b9e\u73b0\u5bf9\u9ad8\u96be\u5ea6\u5b9a\u7406\u8bc1\u660e\u7684\u7a81\u7834<\/strong><\/p>\n<\/li>\n<\/ul>\n<section>\u4e3a\u89e3\u51b3 BFS \u5bf9\u6df1\u5ea6\u63a8\u7406\u8def\u5f84\u7684\u5929\u7136\u6253\u538b\u95ee\u9898\uff0cBFS-Prover \u7cfb\u7edf\u5f15\u5165\u4e86\u53ef\u8c03\u8282\u7684\u957f\u5ea6\u5f52\u4e00\u5316\u8bc4\u5206\u51fd\u6570\uff1a\u00a0<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-61e26cac795455add46e608de8a0016d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-61e26cac795455add46e608de8a0016d.png\"><\/a><\/section>\n<section>\u5176\u4e2d\uff0cL \u8868\u793a\u8def\u5f84\u957f\u5ea6\uff0c\u03b1 \u662f\u53ef\u8c03\u8282\u7684\u957f\u5ea6\u5f52\u4e00\u5316\u53c2\u6570\u3002\u901a\u8fc7\u9002\u5f53\u8c03\u6574 \u03b1 \u503c\uff0c\u7cfb\u7edf\u53ef\u4ee5\u5e73\u8861\u5bf9\u9ad8\u6982\u7387\u8def\u5f84\u7684\u5229\u7528\u4e0e\u5bf9\u6df1\u5c42\u8def\u5f84\u7684\u63a2\u7d22\uff0c\u4f7f BFS \u80fd\u591f\u66f4\u6709\u6548\u5730\u63a2\u7d22\u957f\u94fe\u8bc1\u660e\u3002<\/section>\n<section><\/section>\n<section><strong>Part3\uff1aBFS-Prover \u53d6\u5f97 MiniF2F \u65b0 SOTA<\/strong><\/section>\n<section><\/section>\n<section>\u56e2\u961f\u5728 MiniF2F \u6d4b\u8bd5\u96c6\u4e0a\uff0c\u5bf9 BFS-Prover \u8fdb\u884c\u4e86\u5168\u9762\u8bc4\u4f30\u3002\u8be5\u6d4b\u8bd5\u96c6\u662f\u5f62\u5f0f\u5316\u6570\u5b66\u9886\u57df\u516c\u8ba4\u7684\u57fa\u51c6\u6d4b\u8bd5\u96c6\uff0c\u5305\u542b\u9ad8\u96be\u5ea6\u7684\u7ade\u8d5b\u7ea7\u6570\u5b66\u95ee\u9898\uff0c\u88ab\u5e7f\u6cdb\u7528\u4e8e\u8861\u91cf\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\u7684\u80fd\u529b\u3002<\/section>\n<ul>\n<li>\n<p><strong>\u8d85\u8d8a\u73b0\u6709\u6700\u4f18\u7cfb\u7edf<\/strong><\/p>\n<\/li>\n<\/ul>\n<section>\u5728\u4e0e\u9886\u5148\u7684\u5b9a\u7406\u8bc1\u660e\u7cfb\u7edf\u7684\u5bf9\u6bd4\u4e2d\uff0cBFS-Prover \u5c55\u73b0\u51fa\u663e\u8457\u4f18\u52bf\u3002<\/section>\n<section><\/section>\n<section>\u5728\u56fa\u5b9a\u7b56\u7565\u751f\u6210\u7684\u8ba1\u7b97\u91cf\u4e0b (2048\u00d72\u00d7600 \u6b21\u63a8\u7406\u8c03\u7528)\uff0cBFS-Prover \u5b9e\u73b0\u4e86 70.83% \u7684\u51c6\u786e\u7387\uff0c\u8d85\u8fc7\u6240\u6709\u73b0\u6709\u7cfb\u7edf\uff0c\u5305\u62ec\u4f7f\u7528\u4ef7\u503c\u51fd\u6570\u7684 InternLM2.5-StepProver (65.9%) \u3001HunyuanProver (68.4%)\uff0c\u4ee5\u53ca\u57fa\u4e8e MCTS \u7684 DeepSeek-Prover-V1.5 (63.5%)\u3002<\/section>\n<section><\/section>\n<section><strong>\u5728\u7d2f\u79ef\u8bc4\u4f30\u4e2d\uff0cBFS-Prover \u8fdb\u4e00\u6b65\u5c06\u51c6\u786e\u7387\u63d0\u5347\u81f3 72.95%\uff0c\u6210\u4e3a\u4e86\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u9886\u57df\u7684 SOTA\u3002<\/strong><\/section>\n<section><\/section>\n<section>\u8fd9\u4e00\u7ed3\u679c\u4e0d\u4ec5\u8bc1\u660e\u4e86 BFS \u65b9\u6cd5\u7684\u6f5c\u529b\uff0c\u66f4\u5c55\u793a\u4e86\u901a\u8fc7\u7cbe\u5fc3\u8bbe\u8ba1\u53ef\u4ee5\u4f7f\u7b80\u5355\u7b97\u6cd5\u8d85\u8d8a\u590d\u6742\u65b9\u6cd5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2ddcf62a37f58cc559b546b55562f4a6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2ddcf62a37f58cc559b546b55562f4a6.png\"><\/a><\/section>\n<ul>\n<li>\n<p><strong>\u6210\u529f\u8bc1\u660e\u591a\u4e2a IMO \u9898\u76ee<\/strong><\/p>\n<\/li>\n<\/ul>\n<section>\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0cBFS-Prover \u6210\u529f\u8bc1\u660e\u4e86 MiniF2F-test \u4e2d\u7684\u591a\u4e2a IMO \u95ee\u9898\uff0c\u5305\u62ec imo_1959_p1\uff0cimo_1960_p2, imo_1962_p2, imo_1964_p2 \u548c imo_1983_p6\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e9b\u8bc1\u660e\u5c55\u793a\u4e86\u7cfb\u7edf\u5728\u5904\u7406\u590d\u6742\u6570\u5b66\u63a8\u7406\u65b9\u9762\u7684\u5f3a\u5927\u80fd\u529b\uff0c\u6db5\u76d6\u6570\u8bba\u3001\u4e0d\u7b49\u5f0f\u548c\u51e0\u4f55\u5173\u7cfb\u7b49\u3002<\/section>\n<section><\/section>\n<section>\u6bd4\u5982\uff0c\u5bf9\u4e8e imo_1983_p6 \u4e0d\u7b49\u5f0f\u95ee\u9898\uff0cBFS-Prover \u80fd\u591f\u751f\u6210\u7b80\u6d01\u800c\u4f18\u96c5\u7684\u5f62\u5f0f\u5316\u8bc1\u660e\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d3e6036db6b03e98157132d14cd4b67f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-d3e6036db6b03e98157132d14cd4b67f.png\"><\/a><\/section>\n<section><strong>\u5199\u5728\u6700\u540e<\/strong><\/section>\n<p>\u56e2\u961f\u8ba4\u4e3a\uff0cBFS-Prover \u7684\u6210\u529f\uff0c\u6697\u542b\u4e86\u81ea\u52a8\u5b9a\u7406\u8bc1\u660e\u9886\u57df\u7684\u4e00\u9879\u91cd\u8981\u542f\u793a\uff1a<strong>\u7b80\u6d01\u7684\u7b97\u6cd5\u7ed3\u5408\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u4f18\u5316\u7b56\u7565\uff0c\u540c\u6837\u6709\u52a9\u4e8e AI4Math \u8fb9\u754c\u62d3\u5c55\u3002<\/strong><\/p>\n<p>\u968f\u7740\u5927\u8bed\u8a00\u6a21\u578b\u80fd\u529b\u7684\u4e0d\u65ad\u63d0\u5347\uff0cBFS-Prover \u5f00\u521b\u7684\u7b80\u6d01\u9ad8\u6548\u8def\u7ebf\u6709\u671b\u8fdb\u4e00\u6b65\u63a8\u52a8\u81ea\u52a8\u5f62\u5f0f\u5316\u5b9a\u7406\u8bc1\u660e\u9886\u57df\u53d1\u5c55\uff0c\u4e3a\u6570\u5b66\u7814\u7a76\u63d0\u4f9b\u66f4\u5f3a\u5927\u7684\u81ea\u52a8\u5316\u5de5\u5177\u652f\u6301\u3002<\/p>\n<p>\u5c55\u671b\u672a\u6765\uff0c\u56e2\u961f\u8ba1\u5212\u8fdb\u4e00\u6b65\u63d0\u5347 BFS \u65b9\u6cd5\u5728\u5904\u7406\u66f4\u590d\u6742\u6570\u5b66\u95ee\u9898\u4e0a\u7684\u80fd\u529b\uff0c\u7279\u522b\u662f\u9488\u5bf9\u672c\u79d1\u548c\u7814\u7a76\u751f\u7ea7\u522b\u7684\u6570\u5b66\u5b9a\u7406\u3002\u540c\u65f6\uff0c\u56e2\u961f\u4e5f\u5c06\u57fa\u4e8e\u63a8\u7406\u6a21\u578b\u548c\u5176\u4ed6\u524d\u6cbf\u8def\u7ebf\uff0c\u6301\u7eed\u6316\u6398\u6a21\u578b\u6f5c\u529b\u3002<\/p>\n<p><strong>\u56e2\u961f\u671f\u671b\uff0c\u901a\u8fc7\u6301\u7eed\u4f18\u5316\u6570\u636e\u548c\u8bad\u7ec3\u7b56\u7565\uff0c\u8ba9\u76f8\u5173\u5de5\u5177\u4e3a\u6570\u5b66\u7814\u7a76\u63d0\u4f9b\u5f3a\u5927\u8f85\u52a9\uff0c\u52a0\u901f\u6570\u5b66\u53d1\u73b0\u8fc7\u7a0b\uff0c\u6700\u7ec8\u5b9e\u73b0\u4eba\u673a\u534f\u4f5c\u89e3\u51b3\u524d\u6cbf\u6570\u5b66\u6311\u6218\u7684\u613f\u666f\u3002<\/strong><\/p>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-25-6\" target=\"_blank\">\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u8d85\u8d8aDeepSeek- [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[27],"tags":[68,63],"class_list":["post-38932","post","type-post","status-publish","format-standard","hentry","category-news","tag-68","tag-63"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90 - \u4e00\u8d77AI\u6280\u672f<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/17aitech.com\/?p=38932\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/17aitech.com\/?p=38932\",\"url\":\"https:\/\/17aitech.com\/?p=38932\",\"name\":\"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90 - \u4e00\u8d77AI\u6280\u672f\",\"isPartOf\":{\"@id\":\"https:\/\/17aitech.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/17aitech.com\/?p=38932#primaryimage\"},\"image\":{\"@id\":\"https:\/\/17aitech.com\/?p=38932#primaryimage\"},\"thumbnailUrl\":\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png\",\"datePublished\":\"2025-02-25T18:01:45+00:00\",\"author\":{\"@id\":\"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d\"},\"breadcrumb\":{\"@id\":\"https:\/\/17aitech.com\/?p=38932#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/17aitech.com\/?p=38932\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/17aitech.com\/?p=38932#primaryimage\",\"url\":\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png\",\"contentUrl\":\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/17aitech.com\/?p=38932#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/17aitech.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/17aitech.com\/#website\",\"url\":\"https:\/\/17aitech.com\/\",\"name\":\"\u4e00\u8d77AI\u6280\u672f\",\"description\":\"\u8ba9AI\u77e5\u8bc6\u89e6\u624b\u53ef\u53ca\",\"alternateName\":\"\u4e00\u8d77AI\u6280\u672f\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/17aitech.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d\",\"name\":\"AI\u5c0f\u52a9\u624b\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/17aitech.com\/#\/schema\/person\/image\/\",\"url\":\"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png\",\"contentUrl\":\"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png\",\"caption\":\"AI\u5c0f\u52a9\u624b\"},\"description\":\"\u8fd9\u4e2a\u4eba\u5f88\u61d2\uff0c\u4ec0\u4e48\u90fd\u6ca1\u6709\u7559\u4e0b\uff5e\",\"url\":\"https:\/\/17aitech.com\/?page_id=33738&user=3\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90 - \u4e00\u8d77AI\u6280\u672f","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/17aitech.com\/?p=38932","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/17aitech.com\/?p=38932","url":"https:\/\/17aitech.com\/?p=38932","name":"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90 - \u4e00\u8d77AI\u6280\u672f","isPartOf":{"@id":"https:\/\/17aitech.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/17aitech.com\/?p=38932#primaryimage"},"image":{"@id":"https:\/\/17aitech.com\/?p=38932#primaryimage"},"thumbnailUrl":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png","datePublished":"2025-02-25T18:01:45+00:00","author":{"@id":"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d"},"breadcrumb":{"@id":"https:\/\/17aitech.com\/?p=38932#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/17aitech.com\/?p=38932"]}]},{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/17aitech.com\/?p=38932#primaryimage","url":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png","contentUrl":"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-e97761d3eaa11c4fa088d82033dfd588.png"},{"@type":"BreadcrumbList","@id":"https:\/\/17aitech.com\/?p=38932#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/17aitech.com\/"},{"@type":"ListItem","position":2,"name":"\u8d85\u8d8aDeepSeek-ProverV1.5\uff01\u8c46\u5305\u9996\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u63a8\u7406\u6a21\u578bBFS-Prover\u6765\u4e86\uff0c\u76f4\u63a5\u5f00\u6e90"}]},{"@type":"WebSite","@id":"https:\/\/17aitech.com\/#website","url":"https:\/\/17aitech.com\/","name":"\u4e00\u8d77AI\u6280\u672f","description":"\u8ba9AI\u77e5\u8bc6\u89e6\u624b\u53ef\u53ca","alternateName":"\u4e00\u8d77AI\u6280\u672f","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/17aitech.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/17aitech.com\/#\/schema\/person\/60225458499e817ae0af73e67e440b9d","name":"AI\u5c0f\u52a9\u624b","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/17aitech.com\/#\/schema\/person\/image\/","url":"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png","contentUrl":"\/\/17aitech.com\/wp-content\/uploads\/2024\/04\/robot_3.png","caption":"AI\u5c0f\u52a9\u624b"},"description":"\u8fd9\u4e2a\u4eba\u5f88\u61d2\uff0c\u4ec0\u4e48\u90fd\u6ca1\u6709\u7559\u4e0b\uff5e","url":"https:\/\/17aitech.com\/?page_id=33738&user=3"}]}},"_links":{"self":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts\/38932","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38932"}],"version-history":[{"count":0,"href":"https:\/\/17aitech.com\/index.php?rest_route=\/wp\/v2\/posts\/38932\/revisions"}],"wp:attachment":[{"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38932"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38932"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/17aitech.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38932"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}