{"id":20297,"date":"2024-04-23T16:51:41","date_gmt":"2024-04-23T08:51:41","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=20297"},"modified":"2024-04-23T16:54:48","modified_gmt":"2024-04-23T08:54:48","slug":"%e5%8a%a0%e5%b7%9e%e7%90%86%e5%b7%a5%e5%8d%8e%e4%ba%ba%e7%94%a8ai%e9%a2%a0%e8%a6%86%e6%95%b0%e5%ad%a6%e8%af%81%e6%98%8e%ef%bc%81%e6%8f%90%e9%80%9f5%e5%80%8d%e9%9c%87%e6%83%8a%e9%99%b6%e5%93%b2","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2024\/04\/23\/20297\/","title":{"rendered":"\u52a0\u5dde\u7406\u5de5\u534e\u4eba\u7528AI\u98a0\u8986\u6570\u5b66\u8bc1\u660e\uff01\u63d0\u901f5\u500d\u9707\u60ca\u9676\u54f2\u8f69\uff0c80%\u6570\u5b66\u6b65\u9aa4\u5168\u81ea\u52a8\u5316"},"content":{"rendered":"<div class=\"article-desc\">\u8ba9\u9676\u54f2\u8f69\u5927\u795e\u8d5e\u4e0d\u7edd\u53e3\u7684\u5f62\u5f0f\u5316\u7814\u7a76\u795e\u5668Lean\uff0c\u8fd0\u884cLLM\u7684\u63a8\u7406\u5374\u6709\u4e2abug\u3002\u6700\u8fd1\uff0c\u52a0\u5dde\u7406\u5de5\u56e2\u961f\u89e3\u51b3\u4e86\u8fd9\u4e2abug\uff0c\u628a80%\u4ee5\u4e0a\u7684\u6570\u5b66\u8bc1\u660e\u6b65\u9aa4\uff0c\u90fd\u81ea\u52a8\u5316\u4e86\uff01<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-1d7a5742=\"\" data-element=\"root\">\n<p>Lean Copilot\uff0c\u8ba9\u9676\u54f2\u8f69\u7b49\u4f17\u591a\u6570\u5b66\u5bb6\u8d5e\u4e0d\u7edd\u53e3\u7684\u8fd9\u4e2a\u5f62\u5f0f\u5316\u6570\u5b66\u5de5\u5177\uff0c\u53c8\u6709\u8d85\u5f3a\u8fdb\u5316\u4e86\uff1f<\/p>\n<p>\u5c31\u5728\u521a\u521a\uff0c\u52a0\u5dde\u7406\u5de5\u6559\u6388Anima Anandkumar\u5ba3\u5e03\uff0c\u56e2\u961f\u53d1\u5e03\u4e86Lean Copilot\u8bba\u6587\u7684\u6269\u5c55\u7248\u672c\uff0c\u5e76\u4e14\u66f4\u65b0\u4e86\u4ee3\u7801\u5e93\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/587333c060e8696f46e83098c040232815aa7f.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2404.12534.pdf<\/p>\n<p>\u6700\u65b0\u5b9e\u9a8c\u8868\u660e\uff0c\u8fd9\u4e2aCopilot\u5de5\u5177\uff0c\u53ef\u4ee5\u81ea\u52a8\u531680%\u4ee5\u4e0a\u7684\u6570\u5b66\u8bc1\u660e\u6b65\u9aa4\u4e86\uff01\u8fd9\u4e2a\u7eaa\u5f55\uff0c\u6bd4\u4ee5\u524d\u7684\u57fa\u7ebfaesop\u8fd8\u8981\u597d2.3\u500d\u3002<\/p>\n<p>\u5e76\u4e14\uff0c\u548c\u4ee5\u524d\u4e00\u6837\uff0c\u5b83\u5728MIT\u8bb8\u53ef\u4e0b\u662f\u5f00\u6e90\u7684\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202404\/23\/b26d52b251e98e184862546977ca8e3f94beb8.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u800c\u5bf9\u6b64\u505a\u51fa\u5de8\u5927\u8d21\u732e\u7684\uff0c\u662f\u4e00\u4f4d\u534e\u4eba\u5c0f\u54e5\u5b8b\u6c9b\u6d0b\uff0c\u4ed6\u662fUCSB\u7684\u8363\u8a89CS\u672c\u79d1\u751f\uff0c\u52a0\u5dde\u7406\u5de5\u5b66\u9662\u8ba1\u7b97+\u6570\u5b66\u79d1\u5b66\uff08CMS\uff09\u7cfb\u7684SURF\u7814\u7a76\u5458\u3002<\/p>\n<p>\u7f51\u53cb\u60ca\u547c\uff1a\u6240\u4ee5\uff0c\u9676\u54f2\u8f69\u73b0\u5728\u7684\u6570\u5b66\u7814\u7a76\u53ef\u4ee5\u539f\u5730\u52a0\u901f5\u500d\u4e86\uff1f<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/593f31c4017a1135250142c10313336405619d.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<h3>LLM\u63d0\u51fa\u8bc1\u660e\u7b56\u7565\uff0c\u4eba\u7c7b\u65e0\u7f1d\u5e72\u9884<\/h3>\n<p>\u56e2\u961f\u5c31\u53d1\u5e03\u4e86\u8fd9\u4e2aLean Copilot\u7684\u5de5\u5177\uff0c\u5e0c\u671b\u542f\u52a8\u4eba\u7c7b\u548cLLM\u7684\u534f\u4f5c\uff0c\u7f16\u5199\u51fa100%\u51c6\u786e\u7684\u5f62\u5f0f\u5316\u6570\u5b66\u8bc1\u660e\u3002<\/p>\n<p>\u5b83\u89e3\u51b3\u4e86\u4e00\u4e2a\u6838\u5fc3\u6280\u672f\u6311\u6218\uff1a\u5728Lean\u4e2d\u8fd0\u884cLLM\u7684\u63a8\u7406\u3002<\/p>\n<p>\u901a\u8fc7\u8fd9\u4e2a\u5de5\u5177\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba9LLM\u5728Lean\u4e2d\u63d0\u51fa\u8bc1\u660e\u7b56\u7565\uff0c\u5141\u8bb8\u4eba\u7c7b\u4ee5\u65e0\u7f1d\u7684\u65b9\u5f0f\u5e72\u9884\u548c\u4fee\u6539\u3002<\/p>\n<p><img data-dominant-color=\"232322\" data-has-transparency=\"false\" style=\"--dominant-color: #232322;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-20301\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/04\/e27094807fee316b75c7419277dd8b4917c32b-1.gif\" width=\"1079\" height=\"701\" alt=\"\u56fe\u7247\" title=\"\u56fe\u7247\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u4e4b\u6240\u4ee5\u5f00\u53d1\u8fd9\u4e2a\u9879\u76ee\uff0c\u662f\u56e0\u4e3a\u81ea\u52a8\u5316\u5b9a\u7406\u8bc1\u660e\u5728\u5982\u4eca\u4ecd\u662f\u4e00\u9879\u8270\u5de8\u7684\u6311\u6218\u3002<\/p>\n<p>\u6211\u4eec\u90fd\u77e5\u9053\uff0cLLM\u5728\u505a\u6570\u5b66\u548c\u63a8\u7406\u4efb\u52a1\u65f6\uff0c\u65f6\u5e38\u4f1a\u72af\u9519\u8bef\u3001\u4ea7\u751f\u5e7b\u89c9\uff0c\u5341\u5206\u4e0d\u53ef\u9760\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202404\/23\/e595dbb78dc47ba898d798d9b4ef1fb608bf76.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u56e0\u6b64\uff0c\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6570\u5b66\u8bc1\u660e\u5927\u591a\u662f\u624b\u52a8\u63a8\u5bfc\u7684\uff0c\u9700\u8981\u4ed4\u7ec6\u9a8c\u8bc1\u3002<\/p>\n<p>\u50cfLean\u8fd9\u7684\u5b9a\u7406\u8bc1\u660e\u5de5\u5177\uff0c\u5012\u662f\u53ef\u4ee5\u5f62\u5f0f\u5316\u8bc1\u660e\u8fc7\u7a0b\u7684\u6bcf\u4e00\u6b65\uff0c\u4f46\u4eba\u7c7b\u7f16\u5199\u8d77Lean\uff0c\u7740\u5b9e\u5f88\u8d39\u529b\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cLean Copilot\u7684\u8bde\u751f\u5c31\u663e\u5f97\u610f\u4e49\u91cd\u5927\u3002<\/p>\n<h3>\u8ba9\u9676\u54f2\u8f69\u591a\u6b21\u9707\u60ca\u7684\u795e\u5668\uff1a\u6570\u5b66\u5bb6\u8fd8\u4e0d\u4f1a\u7528\u5c31\u5b8c\u86cb\u4e86<\/h3>\n<p>LLM\u53ef\u4ee5\u4f5c\u4e3a\u8f85\u52a9\u4eba\u7c7b\u8bc1\u660e\u5b9a\u7406\u7684\u5de5\u5177\uff0c\u8fd9\u4e00\u8bba\u70b9\u5df2\u7ecf\u88ab\u9676\u54f2\u8f69\u591a\u6b21\u8bc1\u5b9e\u4e86\u3002<\/p>\n<p>\u4ed6\u524d\u811a\u521a\u5728\u535a\u5ba2\u91cc\u9884\u6d4b\uff0c26\u5e74AI\u5c06\u548c\u641c\u7d22\u3001\u7b26\u53f7\u6570\u5b66\u5de5\u5177\u7ed3\u5408\uff0c\u6210\u4e3a\u6570\u5b66\u7814\u7a76\u4e2d\u503c\u5f97\u4fe1\u8d56\u7684\u5408\u8457\u8005\u3002<\/p>\n<p>\u7d27\u63a5\u7740\uff0c\u4f50\u8bc1\u4ed6\u89c2\u70b9\u7684\u7814\u7a76\u5c31\u5982\u96e8\u540e\u6625\u7b0b\u4e00\u822c\u6e90\u6e90\u4e0d\u65ad\u5730\u5192\u51fa\u6765\u3002<\/p>\n<p>\u53bb\u5e746\u6708\uff0c\u52a0\u5dde\u7406\u5de5\u3001\u82f1\u4f1f\u8fbe\u3001MIT\u7b49\u673a\u6784\u7684\u5b66\u8005\uff0c\u5c31\u6784\u5efa\u4e86\u4e00\u4e2a\u57fa\u4e8e\u5f00\u6e90LLM\u7684\u5b9a\u7406\u8bc1\u660e\u5668LeanDojo\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/f325262713acbaaac1b4162183e904ccb365a2.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>9\u6708\uff0c\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u3001\u5317\u5927\u3001\u5317\u822a\u7b49\u673a\u6784\u7684\u7814\u7a76\u4eba\u5458\uff0c\u901a\u8fc797\u4e2a\u56de\u5408\u7684\u300c\u82cf\u683c\u62c9\u5e95\u5f0f\u300d\u4e25\u683c\u63a8\u7406\uff0c\u6210\u529f\u8ba9GPT-4\u5f97\u51fa\u4e86\u300cP\u2260NP\u300d\u7684\u7ed3\u8bba\uff0c\u7834\u89e3\u4e86\u8fd9\u4e2a\u5343\u79a7\u5e74\u96be\u9898\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202404\/23\/21f664b74691955cbc3301d0433ed5a3ec7d47.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5728\u7b2c97\u8f6e\u5bf9\u8bdd\u4e2d\uff0cGPT-4\u5f97\u51fa\u7ed3\u8bba\uff0c\u8bc1\u660e\u793a\u4f8b\u5728\u6ca1\u6709\u7a77\u4e3e\u6cd5\u7684\u60c5\u51b5\u4e0b\u65e0\u6cd5\u6c42\u89e3\uff0c\u8bc1\u660e\u4e86\u7ed3\u8bba\u4e3aP\u2260NP<\/p>\n<p>\u53bb\u5e7410\u6708\uff0c\u9676\u54f2\u8f69\u5728GPT-4\u3001Copilot\u7684\u5e2e\u52a9\u4e0b\uff0c\u76f4\u63a5\u53d1\u73b0\u4e86\u81ea\u5df1\u8bba\u6587\u4e2d\u7684\u4e00\u5904\u9690\u85cfbug\u3002<\/p>\n<p>\u5728\u7528Lean4\u5f62\u5f0f\u5316\u7b2c6\u9875\u8bba\u70b9\u7684\u8fc7\u7a0b\u4e2d\u53d1\u73b0\uff0c\u4ed6\u53d1\u73b0\u8868\u8fbe\u5f0f<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202404\/23\/666f1dc12652d56526863622a73a5e65b0f13d.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5728n=3,k=2\u65f6\uff0c\u5b9e\u9645\u4e0a\u662f\u53d1\u6563\u7684\u3002<\/p>\n<p>\u8fd9\u4e2a\u4e0d\u592a\u5bb9\u6613\u770b\u51fa\u7684bug\u80fd\u88ab\u53ca\u65f6\u6349\u4f4f\uff0c\u591a\u4e8f\u4e86Lean4\u3002\u539f\u56e0\u662f\uff0cLean\u8981\u6c42\u4ed6\u6784\u5efa0&lt;n\u22123\uff0c\u4f46\u9676\u54f2\u8f69\u53ea\u5047\u8bbe\u4e86n&gt;2\u3002\u7531\u6b64\uff0cLean\u65e0\u6cd5\u57fa\u4e8e\u8d1f\u76840&lt;n\u22123\u5f97\u5230\u53cd\u8bc1\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202404\/23\/e330276135ed6301b72658d81511ce099bad6e.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u8fd9\u4e00\u53d1\u73b0\u76f4\u63a5\u8ba9\u9676\u54f2\u8f69\u77b3\u5b54\u9707\u60ca\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/341a5fe20c7dc107fe94609c6b7d3997844686.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u800c\u5728\u53bb\u5e74\u5e74\u5e95\uff0c\u9676\u54f2\u8f69\u76f4\u63a5\u6210\u529f\u5730\u7528AI\u5de5\u5177\uff0c\u5b8c\u6210\u4e86\u5f62\u5f0f\u5316\u591a\u9879\u5f0fFreiman-Ruzsa\u731c\u60f3\u8bc1\u660e\u8fc7\u7a0b\u7684\u5de5\u4f5c\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202404\/23\/d3cf88d32d15cc46a935473ee8fed68a92a926.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u6700\u540e\uff0c\u4f9d\u8d56\u5173\u7cfb\u56fe\u5df2\u7ecf\u5b8c\u5168\u88ab\u7eff\u8272\u6240\u8986\u76d6\uff0cLean\u7f16\u8bd1\u5668\u4e5f\u62a5\u544a\u8bf4\uff0c\u8fd9\u4e2a\u731c\u60f3\u5b8c\u5168\u9075\u5faa\u6807\u51c6\u516c\u7406\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202404\/23\/d44ff4c18d3ec538fd4020e5966eccbcb60f0f.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0c\u6240\u6709\u6700\u524d\u7ebf\u7684\u6570\u5b66\u7814\u7a76\u8005\uff0c\u90fd\u5728\u7b2c\u4e00\u65f6\u95f4\u611f\u53d7\u5230\u4e86AI\u5bf9\u4e8e\u6570\u5b66\u7814\u7a76\u98a0\u8986\u529b\u91cf\u7684\u76f4\u63a5\u51b2\u51fb\u3002<\/p>\n<h3>Lean Coilot\uff0c\u8ba9Lean\u66f4\u597d\u7528<\/h3>\n<p>\u800c\u4eca\u5929\uff0cLean Copilot\u7684\u8fd9\u9879\u7814\u7a76\uff0c\u8ba9Lean\u76f4\u63a5\u53d8\u5f97\u66f4\u5f3a\u5927\u4e86\u3002<\/p>\n<p>\u5728\u8fd9\u7bc7\u8bba\u6587\u4e2d\uff0c\u56e2\u961f\u57fa\u4e8eLean Copilot\u6784\u5efa\u4e86\u4e00\u4e9b\u5de5\u5177\uff0c\u7528\u4e8e\u5efa\u8bae\u8bc1\u660e\u6b65\u9aa4\uff08\u7b56\u7565\u5efa\u8bae\uff09\u3001\u5b8c\u6210\u4e2d\u95f4\u8bc1\u660e\u76ee\u6807\uff08\u8bc1\u660e\u641c\u7d22\uff09\u548c\u4f7f\u7528LLM\u9009\u62e9\u76f8\u5173\u524d\u63d0\uff08\u524d\u63d0\u9009\u62e9\uff09\u3002<\/p>\n<p>\u5b9e\u9a8c\u7ed3\u679c\u4e5f\u5145\u5206\u8868\u660e\u4e86\uff0c\u8ddfLean\u4e2d\u73b0\u6709\u7684\u57fa\u4e8e\u89c4\u5219\u7684\u8bc1\u660e\u81ea\u52a8\u5316\u76f8\u6bd4\uff0cLean Copilot\u5728\u8f85\u52a9\u4eba\u7c7b\u81ea\u52a8\u5316\u5b9a\u7406\u8bc1\u660e\u4e0a\uff0c\u662f\u6709\u6548\u7684\u3002<\/p>\n<p>Lean Copilot\u63d0\u4f9b\u4e86\u4e00\u4e2a\u901a\u7528\u6846\u67b6\uff0c\u53ef\u4ee5\u901a\u8fc7CTranslate 2\u5728\u672c\u5730\uff0c\u6216\u8005\u5728\u670d\u52a1\u5668\u4e0a\u8fd0\u884cLLM\u7684\u63a8\u7406\u3002<\/p>\n<p>\u901a\u8fc7\u8fd9\u4e2a\u6846\u67b6\uff0c\u7528\u6237\u5c31\u80fd\u521b\u5efa\u5404\u79cd\u81ea\u52a8\u5316\u8bc1\u660e\u5de5\u5177\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/7895f7b538d47a388f2470dcbd34b6d6d9fa7a.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>Lean\u662f\u4e00\u4e2a\u5728\u6570\u5b66\u5bb6\u4e2d\u5f88\u53d7\u6b22\u8fce\u7684\u8bc1\u660e\u52a9\u624b\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0cLean\u4e2d\u7684\u4e00\u4e2a\u8bc1\u660e\uff0c\u662f\u7531\u4e00\u7cfb\u5217\u88ab\u79f0\u4e3a\u7b56\u7565\uff08tactics\uff09\u7684\u8bc1\u660e\u6b65\u9aa4\u7ec4\u6210\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/d203a4438a4f5de575885835530b52eb92303c.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u4ece\u6574\u4e2a\u5b9a\u7406\u5f00\u59cb\u4f5c\u4e3a\u521d\u59cb\u76ee\u6807\uff0c\u7b56\u7565\u53cd\u590d\u5730\u5c06\u5f53\u524d\u7684\u76ee\u6807\u8f6c\u5316\u4e3a\u66f4\u7b80\u5355\u7684\u5b50\u76ee\u6807\uff0c\u76f4\u5230\u6240\u6709\u76ee\u6807\u90fd\u88ab\u89e3\u51b3\u3002<\/p>\n<p>\u7528\u6237\u5728\u7531VSCode\u9a71\u52a8\u7684IDE\u4e2d\u4ea4\u4e92\u7f16\u5199\u7b56\u7565\uff0c\u5728\u53f3\u8fb9\u7684infoview\u9762\u677f\u4e2d\u663e\u793a\u76ee\u6807\u3002<\/p>\n<h4>\u751f\u6210\u7b56\u7565\u5efa\u8bae<\/h4>\n<p>\u5229\u7528Lean Copilot\uff0c\u56e2\u961f\u6784\u5efa\u51fa\u4e86suggest_tropics\uff0c\u4e00\u79cd\u7528LLM\u751f\u6210\u7b56\u7565\u5efa\u8bae\u7684\u5de5\u5177\u3002<\/p>\n<p>\u800c\u5b83\u672c\u8eab\uff0c\u4e5f\u662f\u4e00\u79cd\u7b56\u7565\u3002<\/p>\n<p>\u5e94\u7528\u65f6\uff0c\u5b83\u5c06\u5f53\u524d\u76ee\u6807\u8f93\u5165LLM\uff0c\u5e76\u4e14\u4eceLLM\u83b7\u53d6\u751f\u6210\u7684\u7b56\u7565\u5019\u5217\u8868\u3002<\/p>\n<p>\u5b83\u4f1a\u67e5\u770b\u6bcf\u4e2a\u9009\u9879\uff0c\u770b\u5b83\u4eec\u662f\u5426\u4f1a 1\uff09\u5bfc\u81f4\u9519\u8bef\uff1b2\uff09\u7ed3\u679c\u6ca1\u6709\u9519\uff0c\u4f46\u4e0d\u80fd\u5b8c\u6210\u8bc1\u660e\uff1b3\uff09\u987a\u5229\u5b8c\u6210\u8bc1\u660e\u3002<\/p>\n<p>\u5982\u679c\u662f1\uff09\uff0c\u8fd9\u4e2a\u7b56\u7565\u5c31\u4f1a\u88ab\u5220\u9664\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/16059ee15cdece74e42214a50ec780d8500426.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u53ea\u6709\u65e0\u9519\u8bef\u7684\u7b56\u7565\uff0c\u624d\u4f1a\u663e\u793a\u5728\u53f3\u8fb9\u7684\u89c6\u56fe\u9762\u677f\u4e2d\u3002<\/p>\n<p>\u5176\u4e2d\uff0c\u6210\u529f\u5b8c\u6210\u8bc1\u660e\u7684\u7b56\u7565\uff0c\u4f7f\u7528\u7eff\u8272\u6807\u8bb0\uff08\u7c7b\u522b3\uff09\uff1b\u6ca1\u6709\u9519\u8bef\u6539\u53d8\u8bc1\u660e\u76ee\u6807\uff0c\u4f46\u672a\u5b8c\u6210\u8bc1\u660e\u7684\u7b56\u7565\uff0c\u4f7f\u7528\u84dd\u8272\u6807\u8bb0\uff08\u7c7b\u522b2\uff09\u3002<\/p>\n<p>\u6ce8\u610f\uff01\u5f53\u6240\u6709\u5217\u51fa\u7684\u7b56\u7565\u90fd\u5c5e\u4e8e\u7c7b\u522b2\u65f6\uff0c\u8fd9\u4e2a\u4fe1\u606f\u5bf9\u4e8e\u7528\u6237\u6765\u8bf4\uff0c\u53ef\u80fd\u6781\u6709\u4ef7\u503c\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5269\u4f59\u76ee\u6807\u7684\u4fe1\u606f\uff0c\u53ef\u4ee5\u76f4\u63a5\u5e2e\u52a9\u7528\u6237\u9009\u62e9\u7b56\u7565\uff0c\u4f5c\u4e3a\u4e0b\u4e00\u4e2a\u4e2d\u95f4\u8bc1\u660e\u6b65\u9aa4\u3002<\/p>\n<p>\u770b\u5230\u5efa\u8bae\u540e\uff0c\u7528\u6237\u53ef\u4ee5\u9009\u62e9\u662f\u5426\u63a5\u53d7\uff0c\u6216\u4f7f\u7528\u5b83\u4eec\u4f5c\u4e3a\u7075\u611f\u6765\u6e90\uff0c\u5236\u5b9a\u65b0\u7b56\u7565\u3002<\/p>\n<p>\u6bd4\u5982\uff0c\u6211\u4eec\u5728Lean\u4ee3\u7801\u4e2d\u5b9a\u4e49\u4e86\u4e00\u4e2a\u5b9a\u7406add_abc\uff0c\u5b83\u7684\u521d\u59cb\u76ee\u6807\u5982\u56fe3\u53f3\u6240\u793a\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s9.51cto.com\/oss\/202404\/23\/49bd19a54d4eae99c7516750bae227d362fb3b.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5f53\u6211\u4eec\u8f93\u5165suggest_tropics\u65f6\uff0c\u4f1a\u5728\u53f3\u8fb9\u770b\u5230\u7b56\u7565\u5efa\u8bae\u3002<\/p>\n<p>\u7b2c\u4e00\u4e2a\u7b56\u7565\u663e\u793a\u4e3a\u7eff\u8272\uff0c\u8868\u793a\u8bc1\u660e\u5df2\u6210\u529f\u5b8c\u6210\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\u4e09\u4e2a\u5efa\u8bae\u5747\u4e3a\u84dd\u8272\uff0c\u8fd9\u5c31\u8868\u660e\u65e0\u6cd5\u76f4\u63a5\u5b8c\u6210\u8bc1\u660e\uff0c\u4f46\u4e0d\u4f1a\u5bfc\u81f4\u9519\u8bef\u3002<\/p>\n<p>\u56e0\u800c\uff0c\u5b83\u4eec\u5f88\u6709\u53ef\u80fd\u662f\u6709\u6548\u7684\u4e2d\u95f4\u8bc1\u660e\u6b65\u9aa4\uff01<\/p>\n<p>\u540c\u65f6\uff0c\u5269\u4f59\u5b50\u76ee\u6807\u4e5f\u663e\u793a\u4e86\u51fa\u6765\u3002<\/p>\n<p>\u800cTactic state\u5b57\u6bb5\u663e\u793aNo goal\uff0c\u662f\u56e0\u4e3a\u81f3\u5c11\u6709\u4e00\u4e2a\u7b56\u7565\u5efa\u8bae\u53ef\u4ee5\u88ab\u8bc1\u660e\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202404\/23\/f74b6c17728019c14de4132498e4ee15abb20d.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<h4>\u641c\u7d22\u5b8c\u6574\u8bc1\u660e<\/h4>\n<p>\u6b64\u5916\uff0c\u56e0\u4e3a\u4eba\u7c7b\u548c\u673a\u5668\u90fd\u4e0d\u80fd\u59cb\u7ec8\u5982\u4e00\u5730\u4ea7\u751f\u6b63\u786e\u7684\u7b56\u7565\uff0c\u56e0\u6b64\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u5fc5\u987b\u56de\u6eaf\u3001\u63a2\u7d22\u4e0d\u540c\u7684\u66ff\u4ee3\u65b9\u6848\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u5c31\u662f\u8bc1\u660e\u641c\u7d22\u3002<\/p>\n<p>\u5f53\u662f\u4e0a\u9762\u6240\u8bf4\u7684Suggest_tropics\uff0c\u4ec5\u80fd\u751f\u6210\u5f53\u524d\u6b65\u9aa4\u7684\u7b56\u7565\uff0c\u4e0d\u5177\u5907\u641c\u7d22\u591a\u7b56\u7565\u8bc1\u660e\u7684\u80fd\u529b\u3002<\/p>\n<p>\u4e3a\u6b64\uff0c\u56e2\u961f\u5c06\u5176\u4e0e\u57fa\u4e8e\u89c4\u5219\u7684\u8bc1\u660e\u641c\u7d22\u5de5\u5177aesop\u7ed3\u5408\u8d77\u6765\uff0c\u6784\u5efa\u4e86\u4e00\u4e2a\u57fa\u4e8eLLM\u7684\u8bc1\u660e\u641c\u7d22\u5de5\u5177\u3002<\/p>\n<p>Aesop\u4f1a\u5c06\u6700\u4f73\u4f18\u5148\u641c\u7d22\u4f5c\u4e3aLean\u7684\u7b56\u7565\u5b9e\u65bd\uff0c\u5e76\u4e14\u5141\u8bb8\u7528\u6237\u914d\u7f6e\u641c\u7d22\u6811\u7684\u6269\u5c55\u65b9\u5f0f\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202404\/23\/19b39f4280d876989635014f305e9cd9562155.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u641c\u7d22\u6811\u662f\u7531\u4f5c\u4e3a\u8282\u70b9\u7684\u76ee\u6807\u7ec4\u6210\u3002<\/p>\n<p>\u8d77\u521d\uff0c\u5b83\u53ea\u6709\u539f\u59cb\u76ee\u6807\u4f5c\u4e3a\u6839\u8282\u70b9\u3002\u5728\u6bcf\u4e00\u6b65\u4e2d\uff0caesop\u90fd\u4f1a\u9009\u62e9\u6700\u6709\u5e0c\u671b\u7684\u672a\u6269\u5c55\u8282\u70b9\uff0c\u901a\u8fc7\u5e94\u7528\u7b56\u7565\u5bf9\u5176\u6269\u5c55\uff0c\u5c06\u751f\u6210\u7684\u8282\u70b9\u6dfb\u52a0\u4e3a\u5b50\u8282\u70b9\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/a3fbb5647507414355d21329d85478268a1e8c.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u800c\u5f53aesop\u627e\u5230\u4e00\u6761\u4ece\u6839\u6e90\u5230\u53ef\u8f7b\u677e\u89e3\u51b3\u7684\u76ee\u6807\u7684\u8def\u5f84\uff0c\u5c31\u8bc1\u660e\u641c\u7d22\u6210\u529f\u4e86\uff01<\/p>\n<p>\u56e0\u6b64\uff0caesop\u7684\u6027\u80fd\u5173\u952e\u53d6\u51b3\u4e8e\u7528\u6237\u662f\u5426\u914d\u7f6e\u4e86\u6709\u6548\u7684\u89c4\u5219\u96c6\u3002<\/p>\n<p>\u8fd9\u5c31\u53ef\u4ee5\u770b\u51fa\uff0caesop\u7f3a\u4e4f\u7075\u6d3b\u6027\u3002\u56e0\u6b64\uff0cSearch_proof\u901a\u8fc7\u5728\u6bcf\u4e00\u6b65\u4e2d\u7531suggest_tropics\u751f\u6210\u7684\u76ee\u6807\u76f8\u5173\u7b56\u7565\uff0c\u6765\u589e\u5f3aaesop\u7684\u89c4\u5219\u96c6\uff0c\u8ba9\u5b83\u53d8\u5f97\u66f4\u52a0\u7075\u6d3b\u3002<\/p>\n<p>\u5bf9\u4e8e\u56fe3\u4e2d\u7684\u539f\u59cb\u76ee\u6807\uff0c\u7528\u6237\u53ea\u9700\u8f93\u5165search_prrof\uff0c\u627e\u5230\u53ef\u4ee5\u89e3\u51b3\u76ee\u6807\u7684\u5b8c\u6574\u8bc1\u660e\uff0c\u5c31\u663e\u793a\u5728\u4e86\u4fe1\u606f\u89c6\u56fe\u4e2d\uff08\u56fe5\u53f3\uff09\u3002<\/p>\n<p>\u53ef\u4ee5\u770b\u5230\uff0c\u7531\u4e8e\u53d1\u73b0\u4e86\u6210\u529f\u7684\u8bc1\u636e\uff0c\u6240\u4ee5\u5269\u4f59\u7684Tactic state\u662fNo goals\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202404\/23\/492838d22c3def1a71110991d22d4eb03ba8cc.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<h4>\u9009\u62e9\u6ce8\u91ca\u597d\u7684\u524d\u63d0<\/h4>\n<p>\u6b64\u5916\uff0c\u5b9a\u7406\u8bc1\u660e\u4e2d\u53e6\u4e00\u9879\u5177\u6709\u6311\u6218\u6027\u7684\u91cd\u8981\u4efb\u52a1\u662f\uff0c\u627e\u5230\u51cf\u5c11\u6216\u5b8c\u6210\u8bc1\u660e\u7684\u76f8\u5173\u524d\u63d0\u3002<\/p>\n<p>\u9664\u4e86\u6e90\u7801\u5e93\u548c\u6807\u51c6\u5e93\u4e2d\u6709\u5927\u91cf\u524d\u63d0\uff0cLean\u8fd8\u6709\u4e00\u4e2a\u5927\u578b\u6570\u5b66\u5e93\uff08Mathlib\uff09\u3002<\/p>\n<p>\u7136\u800c\uff0c\u4ece\u6240\u6709\u5e93\u4e2d\u641c\u7d22\u5019\u9009\u524d\u63d0\uff0c\u6781\u5176\u56f0\u96be\u4e14\u8017\u65f6\u8017\u529b\u3002<\/p>\n<p>\u6240\u4ee5\u8bb8\u591a\u4eba\u90fd\u8bd5\u56fe\uff0c\u80fd\u5728Lean\uff0c\u6216\u5176\u4ed6\u7684\u8bc1\u660e\u52a9\u624b\u4e2d\u5f97\u5230\u8f85\u52a9\uff0c\u6216\u81ea\u52a8\u5b8c\u6210\u8fd9\u4e00\u8fc7\u7a0b\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/c93a7dd459baf23dfbe1923e57a614f689d26b.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5728Lean\u4e2d\uff0c\u6700\u5148\u8fdb\u7684\u524d\u63d0\u9009\u62e9\u65b9\u6cd5\u662f\uff0c\u76f4\u63a5\u5728Lean\u4e2d\u5b9e\u73b0\u7684\u57fa\u4e8e\u968f\u673a\u68ee\u6797\uff08random forest\uff09\u7684\u6846\u67b6\u3002<\/p>\n<p>\u7136\u800c\uff0c\u524d\u63d0\u9009\u62e9\u4efb\u52a1\u975e\u5e38\u9002\u5408\u68c0\u7d22\u589e\u5f3a\u578bLLM\uff0c\u5373\u5728\u5927\u6a21\u578b\u8bad\u7ec3\u671f\u95f4\u8bad\u7ec3\u68c0\u7d22\u77e9\u9635\uff08\u524d\u63d0\u5d4c\u5165\uff09\uff0c\u4ee5\u4f30\u8ba1\u8bc1\u660e\u76ee\u6807\u4e0e\u5019\u9009\u524d\u63d0\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/p>\n<p>\u7ed9\u5b9a\u63a8\u7406\u65f6\u7684\u8bc1\u660e\u76ee\u6807\uff0c\u9996\u5148\u5c06\u76ee\u6807\u7f16\u7801\u6210\u4e00\u4e2a\u5411\u91cf\uff0c\u7136\u540e\u5728\u524d\u63d0\u5d4c\u5165\u548c\u76ee\u6807\u5411\u91cf\u4e4b\u95f4\u6267\u884c\u77e9\u9635\u5411\u91cf\u4e58\u6cd5\u3002<\/p>\n<p>\u7136\u540e\uff0c\u4e3a\u4e86\u9009\u62e9\u524dk\u4e2a\u524d\u63d0\uff08\u5176\u4e2dk\u53ef\u4ee5\u662f\u4e00\u4e2a\u8d85\u53c2\u6570\uff0c\u51b3\u5b9a\u7528\u6237\u60f3\u8981\u8fd4\u56de\u591a\u5c11\u4e2a\u524d\u63d0\uff09\uff0c\u8fd9\u65f6\u53ea\u9700\u8fd4\u56de\u5f97\u5206\u6700\u9ad8\u7684k\u4e2a\u524d\u63d0\u3002<\/p>\n<p>\u800c\u8981\u5728Lean\u4e2d\u6267\u884c\u63a8\u7406\u4efb\u52a1\uff0c\u9664\u4e86Lean Copilot\u63d0\u4f9b\u7684\u5feb\u901f\u63a8\u7406\u5916\uff0c\u8fd8\u9700\u8981\u4e00\u4e2a\u9ad8\u6548\u7684\u77e9\u9635\u4e58\u6cd5\u5e93\u548c\u4e00\u4e2aC++\u7684numpy\u77e9\u9635\u9605\u8bfb\u5668\u3002<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u91c7\u7528\u4e86\u6765\u81eaCTranslate2\u7684\u77e9\u9635\u4e58\u6cd5\u51fd\u6570\uff0c\u548c\u6765\u81eaLibnpy\u7684C++\u5feb\u901fnumpy\u6587\u4ef6\u9605\u8bfb\u5668\u3002<\/p>\n<p>\u4ed6\u4eec\u518d\u6b21\u901a\u8fc7FFI\u673a\u5236\uff0c\u5c06\u8fd9\u4e9b\u6570\u94fe\u63a5\u5230Lean\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u524d\u63d0\u9009\u62e9\u7684\u7b56\u7565\u53ef\u4ee5\u975e\u5e38\u9ad8\u6548\u5730\u8fd0\u884c\uff0c\u56e0\u4e3a\u524d\u63d0\u5d4c\u5165\u53ef\u4ee5\u9884\u5148\u8ba1\u7b97\uff0c\u6240\u6709\u540e\u7eed\u64cd\u4f5c\u90fd\u53ef\u4ee5\u4f7f\u7528\u4e0a\u6587\u4ecb\u7ecd\u7684\u5e93\u5728C++\u4e2d\u5feb\u901f\u5b8c\u6210\u3002<\/p>\n<p>\u5728\u83b7\u5f97\u8fd4\u56de\u7684\u524d\u63d0\u540e\uff0c\u7814\u7a76\u8005\u8fdb\u4e00\u6b65\u7528\u6709\u7528\u7684\u4fe1\u606f\u5bf9\u5176\u8fdb\u884c\u6ce8\u91ca\u3002<\/p>\n<p>\u8fd9\u91cc\u5c06\u6240\u6709\u524d\u63d0\u6240\u5206\u4e3a\u4e24\u7c7b\uff1a\u53ef\u76f4\u63a5\u5728\u5f53\u524d\u73af\u5883\u4e2d\u4f7f\u7528\u7684\u524d\u63d0\uff08\u8303\u56f4\u5185\u524d\u63d0\uff09\u548c\u4e0d\u53ef\u76f4\u63a5\u5728\u5f53\u524d\u73af\u5883\u4e2d\u4f7f\u7528\u7684\u524d\u63d0\uff08\u8303\u56f4\u5916\u524d\u63d0\uff09\u3002<\/p>\n<p>\u8fd9\u53d6\u51b3\u4e8e\u662f\u5426\u5bfc\u5165\u4e86\u6240\u9700\u7684\u8f6f\u4ef6\u5305\u3002<\/p>\n<p>\u5982\u679c\u5df2\u7ecf\u5bfc\u5165\u4e86\u524d\u63d0\u6240\u9700\u7684\u5305\uff0c\u5219\u53ef\u4ee5\u8f7b\u677e\u4f7f\u7528\u8be5\u524d\u63d0\u3002\u5982\u4e0b\u56fe6\u663e\u793a\u4e86\u5e26\u6ce8\u91ca\u7684\u8303\u56f4\u5185\u524d\u63d0\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202404\/23\/994b03445fd19b2d8a881143f3c2b3c0ee52c7.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u56fe7\u6240\u793a\u662f\u5e26\u6ce8\u91ca\u7684\u8303\u56f4\u5916\u524d\u63d0\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/375071164aea7c03c54385ed69fb926ea6af23.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u4e0b\u9762\u4e3e\u4e2a\u4f7f\u7528\u300c\u524d\u63d0\u9009\u62e9\u300d\u7684\u4f8b\u5b50\uff0c\u5bf9\u4e8e\u56fe3\u4e2d\u7684\u5b9a\u7406add_abc\uff0c\u53ef\u4ee5\u76f4\u63a5\u5728\u8bc1\u660e\u4e2d\u8f93\u5165select_premises\uff08\u56fe8\u5de6\uff09\u3002<\/p>\n<p>\u7136\u540e\uff0c\u76f8\u5173\u524d\u63d0\u7684\u5217\u8868\uff0c\u5c31\u4f1a\u51fa\u73b0\u5728\u4fe1\u606f\u89c6\u56fe\u4e2d\uff08\u56fe8\u53f3\uff09\u3002<\/p>\n<p>\u5bf9\u4e8e\u8fd9\u4e2a\u7b80\u5355\u7684\u5b9a\u7406\uff0c\u53ef\u4ee5\u6e05\u6670\u770b\u5230\u6240\u9009\u7684\u524d\u63d0\u786e\u5b9e\u76f8\u5173\uff0c\u56e0\u4e3a\u5b83\u4eec\u90fd\u4e0e\u81ea\u7136\u6570\u548c\u52a0\u6cd5\u89c4\u5219\u6709\u5173\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6240\u9009\u76844\u4e2a\u524d\u63d0\u90fd\u5728\u5f53\u524d\u8303\u56f4\u5185\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u7684\u6a21\u5757\u5df2\u7ecf\u5bfc\u5165\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202404\/23\/430d13e28749fa1723d71445b0888b6698e583.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5982\u4e0a\uff0c\u4fbf\u662f\u7814\u7a76\u4eba\u5458\u901a\u8fc7Lean Copilot\u6784\u5efa\u7684\u4e09\u4e2a\u5b9e\u7528\u7684\u8bc1\u660e\u81ea\u52a8\u5316\u5de5\u5177\uff0c\u7528\u4e8e\u7b56\u7565\u5efa\u8bae\u3001\u641c\u7d22\u8bc1\u660e\u548c\u524d\u63d0\u9009\u62e9\u3002<\/p>\n<h3>81.2%\u7684\u8bc1\u660e\u6b65\u9aa4\uff0c\u5168\u90fd\u81ea\u52a8\u5316\u4e86<\/h3>\n<p>\u901a\u8fc7Lean Copilot\u6846\u67b6\uff0c\u7814\u7a76\u4eba\u5458\u51ed\u7ecf\u9a8c\u63d0\u51fa\u4e86\u5047\u8bbe\u2014\u2014\u5728Lean\u4ea4\u4e92\u5f0f\u5b9a\u7406\u8bc1\u660e\uff08ITP\uff09\u4e2d\u8fdb\u884c\u4eba\u673a\u534f\u4f5c\u662f\u6709\u76ca\u7684\u3002<\/p>\n<p>\u7531\u4e8eLean\u4e2d\u7684\u5b9a\u7406\u8bc1\u660e\u8fc7\u7a0b\uff0c\u4e3b\u8981\u4ee5\u7b56\u7565\u8bc1\u660e\u4e3a\u4e3b\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u5177\u4f53\u5b9e\u9a8c\u4e2d\uff0c\u4f5c\u8005\u4e3b\u8981\u8bc4\u4f30\u4e86\u7528\u4e8e\u300c\u7b56\u7565\u5efa\u8bae\u300d\uff0c\u4ee5\u53ca\u300c\u8bc1\u660e\u641c\u7d22\u300d\u7684\u8bc1\u660e\u81ea\u52a8\u5316\u5de5\u5177\u3002<\/p>\n<p>\u603b\u800c\u8a00\u4e4b\uff0caesop\u662f\u5f53\u524d\u662f\u4e00\u79cd\u7528\u4e8e\u8bc1\u660e\u641c\u7d22\uff0c\u6700\u5148\u8fdb\u7684\u57fa\u4e8e\u89c4\u5219\u7684\u8bc1\u660e\u81ea\u52a8\u5316\u5de5\u5177\u3002<\/p>\n<p>\u7814\u7a76\u4eba\u5458\u5728\u4e24\u79cd\u60c5\u51b5\u4e0b\uff0c\u9a8c\u8bc1\u4e86\u57fa\u4e8eLLM\u7684\u641c\u7d22\u8bc1\u660e\u4e0eaesop\u76f8\u6bd4\u7684\u6709\u6548\u6027\uff1a<\/p>\n<p>\uff081\uff09\u81ea\u4e3b\u8bc1\u660e\u5b9a\u7406\uff08LLM\u72ec\u7acb\u5b8c\u6210\uff09<\/p>\n<p>\uff082\uff09\u534f\u52a9\u4eba\u7c7b\u8fdb\u884c\u5b9a\u7406\u8bc1\u660e\uff08\u4eba\u7c7b\u4e0eAI\u534f\u4f5c\uff09<\/p>\n<p>\u6b64\u5916\uff0c\u7814\u7a76\u8005\u8fd8\u5c06\u641c\u7d22\u8bc1\u660e\u4e0e\u7b56\u7565\u5efa\u8bae\u8fdb\u884c\u4e86\u6bd4\u8f83\uff0c\u4ee5\u8bc1\u660e\u9664\u4e86\u5355\u4e00\u7b56\u7565\u5efa\u8bae\u4e4b\u5916\uff0c\u641c\u7d22\u8bc1\u660e\u4f53\u73b0\u7684\u4f18\u52bf\u3002<\/p>\n<p>\u7814\u7a76Lean Copilot\u5982\u4f55\u6709\u6548\u5730\u5e2e\u52a9\u4eba\u7c7b\u8fdb\u884cITP\u7684\u8fc7\u7a0b\uff0c\u7c7b\u4f3c\u4e8e\u4eba\u7c7b\u5728\u8f6f\u4ef6\u7f16\u7a0b\u4e2d\u4f7f\u7528Copilot\u7684\u8303\u5f0f\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u5f53\u6211\u4eec\u9762\u5bf9\u4e00\u4e2a\u76ee\u6807\u65f6\uff0c\u9996\u5148\u4f1a\u8c03\u7528Copilot\uff0c\u770b\u5176\u662f\u5426\u53ef\u4ee5\u76f4\u63a5\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n<p>\u5982\u679c\u4e0d\u80fd\uff0c\u6211\u4eec\u4f1a\u8fdb\u4e00\u6b65\u7b80\u5316\u76ee\u6807\uff0c\u7136\u540e\u518d\u6b21\u5c1d\u8bd5Copilot\u3002\u7136\u540e\uff0c\u4e00\u76f4\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u76f4\u81f3Copilot\u6210\u529f\u89e3\u51b3\u5269\u4f59\u76ee\u6807\u3002<\/p>\n<p>\u800c\u7814\u7a76\u4eba\u5458\u4fbf\u662f\u901a\u8fc7\u8fd9\u6837\u7684\u8fed\u4ee3\u534f\u4f5c\u8303\u4f8b\u4e2d\uff0c\u53bb\u67e5\u770b\u6bcf\u4e2a\u8bc1\u660e\u81ea\u52a8\u5316\u5de5\u5177\u53ef\u4ee5\u81ea\u52a8\u5316\u591a\u5c11\u4eba\u529b\u3002<\/p>\n<p>\u5177\u4f53\u7ed3\u679c\uff0c\u5982\u4e0b\u88681\u663e\u793a\u3002<\/p>\n<p>\u8bc1\u660e\u641c\u7d22\uff08search_proof\uff09\u53ef\u4ee5\u81ea\u52a8\u8bc1\u660e64%\u7684\u5b9a\u7406\uff0850\u4e2a\u4e2d\u768432\u4e2a\uff09\uff0c\u660e\u663e\u9ad8\u4e8eaesop\u548c\u7b56\u7565\u5efa\u8bae\uff08suggest_tropics\uff09\u3002<\/p>\n<p>\u5f53\u7528\u4e8e\u8f85\u52a9\u4eba\u7c7b\u65f6\uff0c \u8bc1\u660e\u641c\u7d22\u4ec5\u9700\u8981\u5e73\u57471.02\u4e2a\u624b\u52a8\u8f93\u5165\u7b56\u7565\uff0c\u8fd9\u4e5f\u6bd4aesop\uff083.62\uff09\u548c\u7b56\u7565\u5efa\u8bae\uff082.72\uff09\u66f4\u597d\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/08bdcce68a0752cb10940048791c97443b4af3.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u6700\u540e\uff0c\u5bf9\u4e8e\u6bcf\u4e2a\u6d4b\u8bd5\u7684\u5b9a\u7406\uff0c\u4f5c\u8005\u8ba1\u7b97\u4e86\u4e09\u4e2a\u5de5\u5177\u4e2d\u6bcf\u4e00\u4e2a\u53ef\u4ee5\u81ea\u52a8\u5316\u7684\u8bc1\u660e\u6b65\u9aa4\u7684\u767e\u5206\u6bd4\u3002<\/p>\n<p>\u7ed3\u679c\u53d1\u73b0\uff0c\u8bc1\u660e\u641c\u7d22\u53ef\u4ee5\u81ea\u52a8\u5b8c\u6210\u5b9a\u7406\u4e2d\u7ea681.2%\u7684\u8bc1\u660e\u6b65\u9aa4\uff0c\u660e\u663e\u9ad8\u4e8e\u7b56\u7565\u5efa\u8bae\uff0848.6%\uff09\u548caesop\uff0835.2%\uff09\u3002<\/p>\n<p>\u603b\u4e4b\uff0c\u8bc1\u660e\u641c\u7d22\u7684\u6027\u80fd\u6bd4\u7b56\u7565\u5efa\u8bae\uff0c\u8981\u9ad8\u51fa1.67\u500d\uff0c\u6bd4\u57fa\u4e8e\u89c4\u5219\u7684\u57fa\u7ebfaesop\u9ad82.31\u500d\u3002<\/p>\n<h3>\u901a\u8fc7Copilot\u5728Lean\u4e2d\u8fdb\u884c\u672c\u5730LLM\u63a8\u7406<\/h3>\n<p>Lean Copilot\u4e2d\u7684tactic\u5efa\u8bae\u3001\u8bc1\u660e\u641c\u7d22\u548c\u524d\u63d0\u9009\u62e9\uff0c\u8fd9\u4e09\u4e2a\u4efb\u52a1\u5728\u672c\u8d28\u4e0a\u53ef\u80fd\u770b\u8d77\u6765\u4e0d\u540c\uff0c\u4f46\u5bf9\u4e8e\u7528\u6237\u4f53\u9a8c\u7684\u8981\u6c42\u662f\u76f8\u4f3c\u7684\u3002<\/p>\n<p>\u5b83\u4eec\u90fd\u9700\u8981\u8db3\u591f\u5feb\u901f\u5730\u751f\u6210\u54cd\u5e94\uff0c\u5177\u6709\u9002\u4e2d\u7684\u8ba1\u7b97\u9700\u6c42\uff0c\u540c\u65f6\u5728Lean\u4e2d\u8fd0\u884c\u3002<\/p>\n<p>\u7528\u6237\u4e4b\u6240\u4ee5\u6709\u8fd9\u4e9b\u8981\u6c42\uff0c\u662f\u56e0\u4e3aLean\u672c\u8eab\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u90fd\u80fd\u975e\u5e38\u5feb\u901f\u5730\u63d0\u4f9b\u73af\u5883\u53cd\u9988\uff08\u6bd4\u5982\u5269\u4f59\u76ee\u6807\uff0c\u9519\u8bef\u4fe1\u606f\uff0c\u7c7b\u578b\u4fe1\u606f\u7b49\uff09\u3002<\/p>\n<p>\u8fd9\u79cd\u5feb\u901f\uff0c\u8ddf\u8bc1\u660e\u5b9a\u7406\u7684\u672c\u8d28\u662f\u4e00\u81f4\u7684\u2014\u2014\u5b83\u9700\u8981\u8fde\u8d2f\u7684\u63a8\u7406\u3002<\/p>\n<p>\u5982\u679cLean Copilot\u9700\u8981\u7528\u6237\u7b49\u5f85\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\uff0c\u90a3\u4e48\u4eba\u7c7b\u548cAI\u4e4b\u95f4\u7684\u534f\u4f5c\u5c31\u5f88\u96be\u53d1\u6325\u4f5c\u7528\u3002<\/p>\n<p>\u540c\u6837\uff0c\u6211\u4eec\u4e5f\u975e\u5e38\u5e0c\u671b\u6ee1\u8db3\u4f4e\u8ba1\u7b97\u7684\u9700\u6c42\u3002\u56e0\u4e3aLean\u4e2d\u7684\u5b9a\u7406\u8bc1\u660e\u672c\u8eab\u4e0d\u9700\u8981GPU\uff0c\u53ef\u4ee5\u5728\u7528\u6237\u672c\u5730\u7684\u7b14\u8bb0\u672c\u7535\u8111\u4e0a\u8fd0\u884c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u80fd\u591f\u5728\u5927\u591a\u6570\u786c\u4ef6\uff08\u5305\u62ec\u6ca1\u6709GPU\u7684\u7b14\u8bb0\u672c\u7535\u8111\uff09\u4e0a\u9ad8\u6548\u8fd0\u884c\uff0c\u5bf9\u4e8eLean\u7684\u7528\u6237\u5c31\u975e\u5e38\u91cd\u8981\u3002<\/p>\n<p>\u56e0\u4e3a\u7528\u6237\u5728\u7f16\u5199\u8bc1\u660e\u65f6\uff0c\u53ef\u80fd\u65e0\u6cd5\u8bbf\u95ee\u652f\u6301CUDA\u7684GPU\u3002<\/p>\n<p>\u56e0\u4e3a\u9700\u8981\u6ee1\u8db3\u5feb\u901f\u63a8\u7406\u548c\u4f4e\u8ba1\u7b97\u9700\u6c42\uff0c\u800c\u4e14\u6240\u6709\u6d41\u884c\u7684\u9ad8\u6548\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6\u90fd\u662f\u5728Python\u4e2d\uff0c\u56e2\u961f\u60f3\u5230\u7684\u4e00\u4e2a\u81ea\u7136\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5c31\u662f\u5728Python\u4e2d\u6258\u7ba1\u6a21\u578b(\u672c\u5730\u6216\u8fdc\u7a0b)\uff0c\u7136\u540e\u4eceLean\u5411\u6a21\u578b\u53d1\u51fa\u8bf7\u6c42\u3002<\/p>\n<p>\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u4f1a\u53d7\u5230\u8fdb\u7a0b\u95f4\u901a\u4fe1\u7684\u5f00\u9500\u7684\u5f71\u54cd\uff0c\u5e76\u4e14\u5b83\u9700\u8981\u7528\u6237\u6267\u884c\u989d\u5916\u7684\u8bbe\u7f6e\u6b65\u9aa4\uff0c\u5e76\u4e0d\u9002\u5408Lean\u7684\u4f20\u7edf\u5de5\u4f5c\u6d41\u7a0b\u3002<\/p>\n<p>\u4e3a\u4e86\u514b\u670d\u8fd9\u4e9b\u95ee\u9898\uff0cLean Copilot\u901a\u8fc7\u5916\u90e8\u529f\u80fd\u63a5\u53e3(FFI)\u5728Lean\u4e2d\u672c\u5730\u8fd0\u884cLLM\u3002<\/p>\n<p>FFI\u662f\u4e00\u79cd\u673a\u5236\uff0c\u53ef\u4ee5\u7528\u4e00\u79cd\u8bed\u8a00\u7f16\u5199\u7684\u7a0b\u5e8f\u8c03\u7528\u53e6\u4e00\u79cd\u8bed\u8a00\u7684\u5b50\u7a0b\u5e8f\u3002<\/p>\n<p>Lean\u90e8\u5206\u7528c++\u5b9e\u73b0\uff0c\u53ef\u4ee5\u4e0ec++\u9ad8\u6548\u4e92\u64cd\u4f5c\u3002<\/p>\n<p>\u7a0b\u5e8f\u5458\u53ef\u4ee5\u5728Lean\u4e2d\u58f0\u660e\u4e00\u4e2a\u51fd\u6570\uff0c\u4f46\u5728c++\u4e2d\u5b9e\u73b0\u51fd\u6570\u4f53\u3002\u5b9e\u73b0\u4f1a\u88ab\u7f16\u8bd1\u5230\u4e00\u4e2a\u5171\u4eab\u5e93\u4e2d\uff0c\u5e76\u52a8\u6001\u94fe\u63a5\u5230Lean\u3002<\/p>\n<p>\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u91c7\u7528\u7684\u662fLeanDojo\u9884\u8bad\u7ec3\u7684repver\u6a21\u578b\u3002\u5b83\u57fa\u4e8e\u4e00\u4e2a\u7f16\u7801\u5668-\u89e3\u7801\u5668\u8f6c\u6362\u5668\uff0cBVT5\uff0c\u5b83\u5c06\u8f93\u5165\u5b57\u7b26\u4e32\u6620\u5c04\u5230\u8f93\u51fa\u5b57\u7b26\u4e32\u3002<\/p>\n<p>Lean Copilot\u901a\u8fc7\u5c06\u6a21\u578b\u5305\u88c5\u6210\u4e00\u4e2a\u5bf9\u5b57\u7b26\u4e32\u64cd\u4f5c\u7684c++\u51fd\u6570\uff0c\u4f7f\u5176\u5728Lean\u4e2d\u53ef\u8fd0\u884c\uff0c\u8be5\u51fd\u6570\u53ef\u4ee5\u901a\u8fc7FFI\u5728\u7cbe\u76ca\u4e2d\u8c03\u7528\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/497adbd05e362926d853722989e6acb52a9b03.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<h3>\u534e\u4eba\u4f5c\u8005\u7acb\u5927\u529f<\/h3>\n<p>\u6700\u65b0\u8bba\u6587\u4e2d\u7684\u4e09\u4eba\u56e2\u961f\uff0c\u4e5f\u662f23\u5e746\u6708\u5f00\u6e90\u5e73\u53f0LeanDojo\u5176\u4e2d\u7684\u4f5c\u8005\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202404\/23\/d95b68d4622d1ca923c5103867119c273088db.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2306.15626.pdf<\/p>\n<h4>Peiyang Song\uff08\u5b8b\u6c9b\u6d0b\uff09<\/h4>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202404\/23\/676539c33311b0b36ba73668b218bebd6f8e56.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5b8b\u6c9b\u6d0b\u662f\u52a0\u5dde\u5927\u5b66\u5723\u5df4\u5df4\u62c9\u5206\u6821\u521b\u610f\u7814\u7a76\u5b66\u9662\uff08CCS\uff09\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u8363\u8a89\u672c\u79d1\u751f\uff0c\u5bfc\u5e08\u662fRichert Wang\u548cPhill Conrad \u3002<\/p>\n<p>\u4e0e\u6b64\u540c\u65f6\uff0c\u4ed6\u8fd8\u662f\u52a0\u5dde\u7406\u5de5\u5b66\u9662\u8ba1\u7b97\u4e0e\u6570\u5b66\u79d1\u5b66\u7cfb\uff08CMS\uff09\u7684SURF\u7814\u7a76\u5458\uff0c\u7531Anima Anandkumar\u6559\u6388\u548cKaiyu Yang\u535a\u58eb\u5171\u540c\u6307\u5bfc\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202404\/23\/785c8e439179ea17d9886200949e3142b365e3.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u53e6\u5916\uff0c\u4ed6\u8fd8\u662fUC\u4f2f\u514b\u5229\u5efa\u7b51\u5b9e\u9a8c\u5ba4\u7684\u7814\u7a76\u5458\uff0c\u4e0eTim Sherwood\u548cDr. Jeremy Lau\uff08\u8c37\u6b4c\uff09\u4e00\u8d77\u5408\u4f5c\u3002<\/p>\n<p>\u4ed6\u7684\u7814\u7a76\u5174\u8da3\u662f\u673a\u5668\u5b66\u4e60\uff08ML\uff09\uff0c\u6d89\u53ca\u81ea\u7136\u8bed\u8a00\u5904\u7406\uff08NLP\uff09\u548c\u8ba1\u7b97\u673a\u89c6\u89c9\uff08CV\uff09\u7b49\u5e94\u7528\u9886\u57df\uff0c\u4ee5\u53ca\u7cfb\u7edf\u548c\u7f16\u7a0b\u8bed\u8a00\uff08PL\uff09\u7b49\u57fa\u7840\u7406\u8bba\u3002<\/p>\n<p>\u5b8b\u6c9b\u6d0b\u6700\u8fd1\u7684\u7814\u7a76\u4e3b\u8981\u6709\u4e24\u4e2a\u65b9\u5411\u3002<\/p>\n<p>\u4e00\u662f\u795e\u7ecf\u7b26\u53f7\u63a8\u7406\u548c\u4eba\u5de5\u667a\u80fd\u6570\u5b66\uff08AI4Math\uff09\uff0c\u5c06\u5927\u6a21\u578b\u4e0e\u4ea4\u4e92\u5f0f\u5b9a\u7406\u8bc1\u660e\u5668\uff08ITPs\uff09\u76f8\u7ed3\u3002<\/p>\n<p>\u53e6\u4e00\u4e2a\u662f\u57fa\u4e8e\u65f6\u5e8f\u903b\u8f91\u7684\u9ad8\u80fd\u6548\u673a\u5668\u5b66\u4e60\u3002<\/p>\n<h3>Kaiyu Yang\uff08\u6768\u51ef\u5cea\uff09<\/h3>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202404\/23\/265732225a8883e8af682586805a56756446e8.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u6768\u51ef\u5cea\u662f\u52a0\u5dde\u7406\u5de5\u5b66\u9662\u8ba1\u7b97+\u6570\u5b66\u79d1\u5b66\uff08CMS\uff09\u7cfb\u7684\u535a\u58eb\u540e\u7814\u7a76\u5458\uff0c\u5bfc\u5e08\u662fAnima Anandkumar\u3002<\/p>\n<p>\u4ed6\u66fe\u5728\u666e\u6797\u65af\u987f\u5927\u5b66\u83b7\u5f97\u4e86\u535a\u58eb\u5b66\u4f4d\uff0c\u5bfc\u5e08\u662fJia Deng\uff0c\u8fd8\u66fe\u4e0eOlga Russakovsky\u3001\u9648\u4e39\u7426\u4e00\u8d77\u5de5\u4f5c\u3002<\/p>\n<p>\u4ed6\u7684\u7814\u7a76\u91cd\u70b9\u662f\u795e\u7ecf\u7b26\u53f7\u4eba\u5de5\u667a\u80fd\uff0c\u65e8\u5728\u4f7f\u673a\u5668\u5b66\u4e60\u80fd\u591f\u8fdb\u884c\u7b26\u53f7\u63a8\u7406\uff0c\u5e0c\u671b\u901a\u8fc7\u4e24\u4e2a\u65b9\u5411\u5b9e\u73b0\uff1a<\/p>\n<p>\uff081\uff09\u5c06\u673a\u5668\u5b66\u4e60\u5e94\u7528\u4e8e\u7b26\u53f7\u63a8\u7406\u4efb\u52a1\uff0c\u5982\u5f62\u5f0f\u903b\u8f91\u6216\u81ea\u7136\u8bed\u8a00\u4e2d\u7684\u6570\u5b66\u63a8\u7406\u548c\u5b9a\u7406\u8bc1\u660e\uff1b<\/p>\n<p>\uff082\uff09\u5c06\u7b26\u53f7\u7ec4\u4ef6\u5f15\u5165\u673a\u5668\u5b66\u4e60\u6a21\u578b\uff0c\u4f7f\u5176\u66f4\u5177\u53ef\u89e3\u91ca\u6027\u3001\u53ef\u9a8c\u8bc1\u6027\u548c\u6570\u636e\u9ad8\u6548\u3002<\/p>\n<p>\u76ee\u524d\uff0c\u4ed6\u6b63\u5728\u7814\u7a76\u80fd\u591f\u7406\u89e3\u548c\u63a8\u7406\u6570\u5b66\u7684\u4eba\u5de5\u667a\u80fd\u3002\u6570\u5b66\u63a8\u7406\u662f\u4eba\u7c7b\u667a\u80fd\u7684\u4e00\u4e2a\u91cd\u8981\u91cc\u7a0b\u7891\uff0c\u5b83\u6709\u53ef\u80fd\u6539\u53d8\u79d1\u5b66\u548c\u5de5\u7a0b\u4e2d\u7684\u8bb8\u591a\u91cd\u8981\u95ee\u9898\uff0c\u6bd4\u5982\u89e3\u51b3\u504f\u5fae\u5206\u65b9\u7a0b\u548c\u516c\u5f0f\u9a8c\u8bc1\u3002<\/p>\n<h3>Anima Anandkumar<\/h3>\n<p>Anima Anandkumar\u73b0\u5728\u662f\u52a0\u5dde\u7406\u5de5\u5b66\u9662\u8ba1\u7b97\u548c\u6570\u5b66\u79d1\u5b66\u6559\u6388\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202404\/23\/891360e42879eab42a53665849f7a789bf575d.webp\" alt=\"\u56fe\u7247\" data-type=\"block\" \/><span class=\"data-image-title\">\u56fe\u7247<\/span><\/p>\n<p>\u5979\u7684\u7814\u7a76\u5174\u8da3\u4e3b\u8981\u96c6\u4e2d\u5728\u5927\u89c4\u6a21\u673a\u5668\u5b66\u4e60\u3001\u975e\u51f8\u4f18\u5316\u548c\u9ad8\u7ef4\u7edf\u8ba1\u7b49\u9886\u57df\u3002<\/p>\n<p>\u7279\u522b\u662f\uff0c\u5979\u4e00\u76f4\u5728\u5e26\u5934\u5f00\u53d1\u548c\u5206\u6790\u673a\u5668\u5b66\u4e60\u7684\u5f20\u91cf\u7b97\u6cd5\u3002<\/p>\n<p>\u5f20\u91cf\u5206\u89e3\u65b9\u6cd5\u5177\u6709\u6781\u9ad8\u7684\u5e76\u884c\u6027\u548c\u53ef\u6269\u5c55\u6027\uff0c\u53ef\u5e94\u7528\u4e8e\u6d77\u91cf\u6570\u636e\u3002\u5b83\u53ef\u4ee5\u4fdd\u8bc1\u6536\u655b\u5230\u6700\u4f18\u89e3\uff0c\u5e76\u5bf9\u8bb8\u591a\u6982\u7387\u6a21\u578b\uff08\u6bd4\u5982Markov\u6a21\u578b\uff09\u8f93\u51fa\u4e00\u81f4\u7684\u4f30\u8ba1\u7ed3\u679c\u3002<\/p>\n<h4>\u66f4\u5e7f\u6cdb\u5730\u8bf4\uff0cAnandkumar\u6559\u6388\u4e00\u76f4\u5728\u7814\u7a76\u52a0\u901f\u975e\u51f8\u4f18\u5316\u7684\u9ad8\u6548\u6280\u672f\u3002<\/h4>\n<h4>\u53c2\u8003\u8d44\u6599\uff1a<\/h4>\n<p>https:\/\/arxiv.org\/abs\/2404.12534<\/p>\n<p>https:\/\/github.com\/lean-dojo\/LeanCopilot<\/p>\n<p>https:\/\/twitter.com\/AnimaAnandkumar\/status\/1782518528098353535<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<div 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