{"id":13286,"date":"2023-06-09T11:25:23","date_gmt":"2023-06-09T03:25:23","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=13286"},"modified":"2023-06-09T11:25:23","modified_gmt":"2023-06-09T03:25:23","slug":"%e4%bb%96%e5%be%97%e8%bf%87%e4%b8%a4%e6%ac%a1%e5%93%a5%e5%be%b7%e5%b0%94%e5%a5%96%ef%bc%8c%e5%9c%a8%e6%b8%b8%e6%88%8f%e4%b8%ad%e5%af%bb%e6%89%be%e4%ba%ba%e7%94%9f%e6%95%99%e8%ae%ad%ef%bc%8c%e4%bb%96","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2023\/06\/09\/13286\/","title":{"rendered":"\u4ed6\u5f97\u8fc7\u4e24\u6b21\u54e5\u5fb7\u5c14\u5956\uff0c\u5728\u6e38\u620f\u4e2d\u5bfb\u627e\u4eba\u751f\u6559\u8bad\uff0c\u4ed6\u5c31\u662f\u534e\u4eba\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u6ed5\u5c1a\u534e\u2014\u2014Quanta Magazine\u91cf\u5b50\u6742\u5fd7"},"content":{"rendered":"<p>\u5728\u6ed5\u5c1a\u534e\uff08Shang-Hua 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https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-300x208.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-1024x710.jpg 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-768x533.jpg 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u6ed5\u5c55\u793a\u4e86\u4e00\u4e2a\u6570\u5b66\u5b9a\u7406\u5982\u4f55\u6fc0\u53d1\u4e86\u201c\u4e00\u4e2a\u7f8e\u4e3d\u7684\u68cb\u76d8\u6e38\u620f\u201d\u7684\u521b\u9020\u3002<\/p>\n<p>\uff08Emilio Flores\u4f9b\u56fe\uff09<\/p>\n<p>\u4e00\u4e2a\u8457\u540d\u7684\u590d\u6742\u5ea6\u7c7b\uff0c\u6709\u4e2a\u5e73\u6de1\u65e0\u5947\u7684\u540d\u5b57\uff1a<strong>P<\/strong>\uff0c<\/p>\n<p>\u610f\u601d\u662f\u201c\u591a\u9879\u5f0f\u65f6\u95f4\u201d\uff0c<\/p>\n<p>\u7c97\u7565\u5730\u8bf4\uff0c<\/p>\n<p>\u5b83\u5305\u542b\u4e86\u53ef\u4ee5\u5728\u5408\u7406\u65f6\u95f4\u5185\u89e3\u51b3\u7684\u95ee\u9898\u3002<\/p>\n<p>\u540c\u6837\u8457\u540d\u7684<strong>NP<\/strong>\u7c7b\u4e2d\u7684\u95ee\u9898\uff0c<\/p>\n<p>\u53ef\u80fd\u9700\u8981\u4e0d\u5408\u7406\u7684\u65f6\u95f4\u6765\u89e3\u51b3\uff0c<\/p>\n<p>\u4f46\u5b83\u4eec\u7684\u89e3\u5f88\u5bb9\u6613\u68c0\u9a8c\u3002<\/p>\n<p>\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u590d\u6742\u5ea6\u7c7b\uff08\u79f0\u4e3a<strong>PSPACE<\/strong>\uff09\u7684\u95ee\u9898\uff0c<\/p>\n<p>\u5373\u4f7f\u662f\u8fd9\u79cd\u6709\u6548\u7684\u9a8c\u8bc1\u4e5f\u65e0\u6cd5\u4fdd\u8bc1\u5b58\u5728\u3002<\/p>\n<p>\u5f53\u7814\u7a76\u4eba\u5458\u8003\u8651\u53cc\u4eba\u6e38\u620f\u7684\u201c\u6df1\u5c42\u903b\u8f91\u201d\u65f6\u2014\u2014<\/p>\n<p>\u201c\u5982\u679c\u4f60\u505aX\uff0c\u7136\u540e\u5982\u679c\u6211\u505aY\uff0c\u7136\u540e\u5982\u679c\u4f60\u505aZ\u201d\u7b49\u7b49\u2014\u2014<\/p>\n<p>\u4ed6\u4eec\u7ecf\u5e38\u53d1\u73b0\u81ea\u5df1\u5728\u8c08\u8bbaPSPACE\u3002<\/p>\n<p>\u4f46\u6b63\u5982\u6ed5\u5e2e\u52a9\u8bc1\u660e\u7684\u90a3\u6837\uff0c<\/p>\n<p>\u7ec4\u5408\u535a\u5f08\u7684\u6570\u5b66\u5e76\u4e0d\u603b\u662f\u76f4\u622a\u4e86\u5f53\u7684\u3002<\/p>\n<p>\u590d\u6742\u5ea6\u7c7bWikipedia<\/p>\n<p>\u91cf\u5b50\u6742\u5fd7\u6700\u8fd1\u4e0e\u6ed5\u8fdb\u884c\u4e86\u4ea4\u8c08\uff0c<\/p>\n<p>\u8ba8\u8bba\u4e86\u4ed6\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u4e4b\u8def\uff0c<\/p>\n<p>\u68cb\u76d8\u6e38\u620f\u80cc\u540e\u7684\u6570\u5b66\u4ee5\u53ca\u4ed6\u7236\u4eb2\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u4e3a\u6e05\u695a\u8d77\u89c1\uff0c\u91c7\u8bbf\u5df2\u7ecf\u8fc7\u538b\u7f29\u548c\u7f16\u8f91\u3002<\/p>\n<hr \/>\n<p><strong>Q\uff1a\u5728\u4e2d\u56fd\u63a5\u53d7\u6559\u80b2\u662f\u4ec0\u4e48\u611f\u89c9\uff1f<\/strong><\/p>\n<p>\u6211\u51fa\u751f\u5728\u6587\u9769\u524d\uff0c\u7236\u4eb2\u662f\u5927\u5b66\u571f\u6728\u5de5\u7a0b\u7cfb\u4e3b\u4efb\u3002<\/p>\n<p>\u9769\u547d\u53d1\u751f\u65f6\uff0c\u4ed6\u88ab\u56da\u7981\u5728\u6821\u56ed\u91cc\u3002<\/p>\n<p>\u7136\u540e\u6574\u4e2a\u6821\u56ed\u90fd\u88ab\u9001\u5230\u4e86\u519c\u6751\u3002<\/p>\n<p>\u6211\u66fe\u7ecf\u6536\u96c6\u5783\u573e\u5356\uff0c<\/p>\n<p>\u76f4\u5230\u6211\u51e0\u4e4e\u8bfb\u5b8c\u521d\u4e2d\uff0c<\/p>\n<p>\u7136\u540e\u7a81\u7136\u4e2d\u56fd\u53d8\u4e86\u3002<\/p>\n<p>\u5982\u679c\u4f60\u5b66\u4e60\u597d\uff0c<\/p>\n<p>\u4f60\u53ef\u4ee5\u8fdb\u5165\u5927\u5b66\uff0c<\/p>\n<p>\u6211\u4eec\u6ca1\u6709\u5176\u4ed6\u673a\u4f1a\u627e\u5230\u4efb\u4f55\u56fa\u5b9a\u7684\u5de5\u4f5c\u3002<\/p>\n<p>\u6211\u9192\u4e86\uff0c<\/p>\n<p>\u8bf4\uff1a\u201c\u6211\u9700\u8981\u5b66\u4e60\u3002\u201d<\/p>\n<p><strong>Q\uff1a\u60a8\u662f\u5982\u4f55\u9009\u62e9\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\uff1f<\/strong><\/p>\n<p>\u6211\u60f3\u5728\u9ad8\u4e2d\u6bd5\u4e1a\u540e\u5b66\u4e60\u751f\u7269\u5b66\u3002<\/p>\n<p>\u6211\u4e0d\u77e5\u9053\u4e3a\u4ec0\u4e48\uff0c<\/p>\n<p>\u4f46\u6211\u7236\u4eb2\u5bf9\u6b64\u4e0d\u662f\u5f88\u6ee1\u610f\u3002<\/p>\n<p>\u6211\u7684\u6570\u5b66\u6210\u7ee9\u4e0d\u9519\uff0c<\/p>\n<p>\u4ed6\u95ee\u6211\u662f\u5426\u60f3\u505a\u6570\u5b66\u3002<\/p>\n<p>\u6211\u8bf4\u6ca1\u6709\u3002<\/p>\n<p>\u7136\u540e\u4ed6\u8bf4\uff0c\u201c\u4f60\u77e5\u9053\uff0c<\/p>\n<p>\u6709\u4e00\u95e8\u65b0\u5b66\u79d1\u53eb\u8ba1\u7b97\u673a\u79d1\u5b66\uff0c<\/p>\n<p>\u5b83\u771f\u7684\u5f88\u597d\u3002\u201d<\/p>\n<p>\u4e0d\u77e5\u4f55\u6545\uff0c<\/p>\n<p>\u4ed6\u4fc3\u4f7f\u6211\u4e3b\u4fee\u8ba1\u7b97\u673a\u79d1\u5b66\u3002<\/p>\n<p>\u5f53\u65f6\u7684\u6559\u80b2\u975e\u5e38\u57fa\u7840\u3002<\/p>\n<p>\u6211\u4eec\u6ca1\u6709\u63a5\u89e6\u8fc7\u5927\u591a\u6570\u4e1c\u897f\uff0c<\/p>\n<p>\u8ba1\u7b97\u673a\u79d1\u5b66\u751a\u81f3\u4e0d\u662f\u4e00\u4e2a\u90e8\u95e8\uff1b<\/p>\n<p>\u800c\u662f\u7535\u6c14\u5de5\u7a0b\u4e13\u4e1a\u3002<\/p>\n<p>\u4f46\u5b8c\u5168\u662f\u5076\u7136\u7684\uff0c<\/p>\n<p>\u6211\u4eec\u88ab\u8bad\u7ec3\u6210\u5fae\u79ef\u5206\u7684\u6570\u5b66\u5b66\u751f\uff0c<\/p>\n<p>\u6211\u5b66\u5230\u4e86\u4e00\u4e9b\u4e1c\u897f\uff0c<\/p>\n<p>\u6700\u7ec8\u5bf9\u6210\u4e3a\u4e00\u540d\u7406\u8bba\u5bb6\u5f88\u6709\u7528\u3002<\/p>\n<p>\u5982\u679c\u6ca1\u6709\u5b83\uff0c\u6211\u53ef\u80fd\u6ca1\u6709\u673a\u4f1a\u901a\u8fc7\u3002<\/p>\n<p>\u5982\u4eca\uff0c\u5b69\u5b50\u4eec\u66f4\u6709\u5929\u8d4b\uff1a<\/p>\n<p>\u4ece\u9ad8\u4e2d\u5f00\u59cb\uff0c\u4ed6\u4eec\u662f\u6bd4\u6211\u6765\u5230\u8fd9\u4e2a\u56fd\u5bb6\u65f6\u66f4\u6709\u5929\u8d4b\u7684\u6570\u5b66\u5bb6\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13289\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2.jpg\" width=\"1080\" height=\"552\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2.jpg 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-300x153.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-1024x523.jpg 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-768x393.jpg 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u6ed5\u5728\u5357\u52a0\u5dde\u5927\u5b66\u6821\u56ed\u5185\uff08Emilio Flores\u4f9b\u56fe\uff09<\/p>\n<p><strong>Q\uff1a\u8fd9\u4e9b\u77e5\u8bc6\u5dee\u8ddd\u5982\u4f55\u5f71\u54cd\u4f60\u7684\u7814\u7a76\u751f\u7ecf\u5386\uff1f<\/strong><\/p>\n<p>\u6709\u4e00\u5929\u6211\u7684\u5bfc\u5e08Gary Miller\u52a0\u91cc\u00b7\u7c73\u52d2<\/p>\n<p>\u53d1\u73b0\u6211\u4ece\u672a\u542c\u8bf4\u8fc7NP\u3002<\/p>\n<p>\u8fd9\u662f\u5728\u67d0\u6b21\u8ba8\u8bba\u4e2d\u3002<\/p>\n<p>\u4ed6\u8bf4\uff0c\u201c\u8fd9\u4e2a\u95ee\u9898\u770b\u8d77\u6765\u5f88\u96be\u201d\u3002<\/p>\n<p>\u6211\u8bf4\uff1a\u201c\u55ef\u201d\u3002<\/p>\n<p>\u4ed6\u8bf4\uff1a\u201c\u4f60\u4e0d\u76f8\u4fe1\u6211\uff1f\u201d<\/p>\n<p>\u7136\u540e\u4ed6\u5f00\u59cb\u8bc1\u660e\u8fd9\u4e00\u70b9\uff0c<\/p>\n<p>\u4e2d\u9014\u4ed6\u731b\u5730\u8f6c\u5411\u6211\uff0c<\/p>\n<p>\u56e0\u4e3a\u6211\u53ea\u662f\u5750\u5728\u90a3\u91cc\uff0c<\/p>\n<p>\u4ed6\u8bf4\uff0c\u201c\u4f60\u77e5\u9053\u4ec0\u4e48\u662fNP\u56f0\u96be\u5417\uff1f\u201d<\/p>\n<p>\u6211\u8bf4\u4e0d\u77e5\u9053\u3002<\/p>\n<p>\u6211\u4ee5\u4e3a\u90a3\u662f\u6211\u548c\u4ed6\u4e00\u8d77\u5de5\u4f5c\u7684\u6700\u540e\u4e00\u5929\uff0c<\/p>\n<p>\u4f46\u4ed6\u7ee7\u7eed\u544a\u8bc9\u6211\uff08\u5173\u4e8eNP\u96be\u5ea6\u7684\uff09\u5b9a\u4e49\u3002<\/p>\n<p>\u4ed6\u8bf4\uff1a\u201c\u4e0d\u77e5\u9053\u6ca1\u5173\u7cfb\uff0c\u53ea\u8981\u4f60\u80fd\u601d\u8003\u5c31\u884c\u201d\u3002<\/p>\n<p>\u4ed6\u5bf9\u6211\u4ea7\u751f\u4e86\u5de8\u5927\u7684\u5f71\u54cd\u3002<\/p>\n<p><strong>Q\uff1a\u4f60\u4e3b\u8981\u662f\u4e00\u540d\u7406\u8bba\u5bb6\uff0c\u4f46\u5728\u4f60\u7684\u6574\u4e2a\u804c\u4e1a\u751f\u6daf\u4e2d\uff0c<\/strong><\/p>\n<p><strong>\u4f60\u90fd\u6d89\u8db3\u4e86\u5de5\u4e1a\u9886\u57df\u3002<\/strong><\/p>\n<p><strong>\u8fd9\u9879\u5b9e\u9645\u5de5\u4f5c\u5982\u4f55\u4e0e\u60a8\u7684\u7406\u8bba\u7814\u7a76\u8054\u7cfb\u8d77\u6765\uff1f<\/strong><\/p>\n<p>\u5728\u6211\u7684\u8bba\u6587\u4e2d\uff0c\u6211\u5f00\u53d1\u4e86\u4e00\u4e9b\u7528\u4e8e\u5212\u5206\u56fe\u7684\u51e0\u4f55\u65b9\u6cd5\u3002<\/p>\n<p>\u6211\u80fd\u591f\u8bc1\u660e\uff0c<\/p>\n<p>\u8fd9\u4e00\u7cfb\u5217\u51e0\u4f55\u65b9\u6cd5\u4e3a\u6709\u9650\u5143\u56fe\u63d0\u4f9b\u4e86\u53ef\u8bc1\u660e\u7684\u826f\u597d\u5207\u5272\u3002<\/p>\n<p>\u5728\u5bfc\u5e08\u7684\u63a8\u8350\u4e0b\uff0c\u6211\u5f00\u59cb\u5728\u7f8e\u56fd\u5b87\u822a\u5c40\u548c\u6ce2\u97f3\u822a\u7a7a\u822a\u5929\u516c\u53f8\u53d1\u8868\u6f14\u8bb2\u3002<\/p>\n<p>\u5728\u6ce2\u97f3\u516c\u53f8\uff0c\u6211\u8bb0\u5f97\u5176\u4e2d\u4e00\u4e2a\u673a\u7ffc\u76843D\u6a21\u578b\u5df2\u7ecf\u6709\u8fd1\u4e00\u767e\u4e07\u4e2a\u5143\u4ef6\uff0c<\/p>\n<p>\u4ed6\u4eec\u751a\u81f3\u65e0\u6cd5\u5c06\u5176\u52a0\u8f7d\u5230\u4e00\u53f0\u673a\u5668\u4e2d\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4ed6\u4eec\u5e0c\u671b\u5c06\u8fd9\u5f20\u56fe\u5207\u5272\u6210\u4e0d\u540c\u7684\u7ec4\u4ef6\uff0c<\/p>\n<p>\u5c06\u5b83\u4eec\u653e\u5728\u5177\u6709\u76f8\u4f3c\u8ba1\u7b97\u8d1f\u8f7d\u7684\u4e0d\u540c\u673a\u5668\u4e0a\uff0c<\/p>\n<p>\u5e76\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u901a\u4fe1\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5728\u6570\u5b66\u4e0a\u90a3\u662f\u4e00\u4e2a\u56fe\u5207\u5272\u7684\u516c\u5f0f\u3002<\/p>\n<p>\u5728\u7406\u8bba\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\uff0c<\/p>\n<p>\u5373\u4f7f\u95ee\u9898\u7684\u5916\u89c2\u53d1\u751f\u5de8\u5927\u53d8\u5316\uff0c<\/p>\n<p>\u4ece\u6700\u4f18\u5316\u5230\u535a\u5f08\u8bba\uff0c<\/p>\n<p>\u57fa\u672c\u7684\u6570\u5b66\u539f\u7406\u4e5f\u7ecf\u5e38\u4fdd\u6301\u4e0d\u53d8\u3002<\/p>\n<p>\u5f53\u4f60\u505a\u7814\u7a76\u65f6\uff0c<\/p>\n<p>\u611f\u89c9\u4e0d\u50cf\u662f\u4e00\u4e2a\u5267\u70c8\u7684\u53d8\u5316\u3002<\/p>\n<p><strong>Q\uff1a\u8bf4\u5230\u535a\u5f08\u8bba\uff0c\u6211\u770b\u5230\u4f60\u5e2e\u52a9\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u68cb\u76d8\u6e38\u620f\u3002<\/strong><\/p>\n<p><strong>\u8fd9\u662f\u600e\u4e48\u53d1\u751f\u7684\uff1f<\/strong><\/p>\n<p>\u54e6\uff0c\u6211\u559c\u6b22\u68cb\u76d8\u6e38\u620f\uff01<\/p>\n<p>\u4e0e\u590d\u6742\u6027\u7406\u8bba\u6709\u7740\u7f8e\u597d\u7684\u8054\u7cfb\u3002<\/p>\n<p>\u4f46\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u6211\u662f\u6211\u5b66\u751f\u7684\u5b66\u751f\u3002<\/p>\n<p>\u6211\u5728\u6ce2\u58eb\u987f\u5927\u5b66\u505a\u4e00\u4e2a\u6f14\u8bb2\uff0c<\/p>\n<p>\u8bb2\u4e00\u4e2a\u6f02\u4eae\u7684\u79bb\u6563\u5b9a\u7406\uff0c<\/p>\n<p>\u53eb\u505a<strong>\u65af\u4f69\u7eb3\u5f15\u7406<\/strong>\uff08Sperner\u2019s lemma\uff09\u3002<\/p>\n<p>\u8fd9\u5728\u4e00\u4e2a\u7ef4\u5ea6\u4e0a\u975e\u5e38\u7b80\u5355\u3002<\/p>\n<p>\u6709\u4e00\u6761\u7ebf\u6bb5\uff0c\u5176\u4e2d\u4e00\u7aef\u4e3a\u7ea2\u8272\uff0c\u4e00\u7aef\u4e3a\u84dd\u8272\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13290\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1.png\" width=\"1080\" height=\"347\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-300x96.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-1024x329.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-1-768x247.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u53ef\u4ee5\u5c06\u5176\u5212\u5206\u4e3a\u5b50\u7ebf\u6bb5[\u4e24\u7aef\u90fd\u6709\u8282\u70b9]\uff0c<\/p>\n<p>\u5e76\u5c06\u6bcf\u4e2a\u65b0\u8282\u70b9\u7740\u8272\u4e3a\u7ea2\u8272\u6216\u84dd\u8272\u3002<\/p>\n<p>\u7136\u540e[\u65e0\u8bba\u4f60\u5982\u4f55\u7ed9\u5b83\u4eec\u7740\u8272]\u6211\u4eec\u77e5\u9053\uff0c<\/p>\n<p>\u4e00\u5b9a\u6709\u4e00\u6761\u7ebf\u6bb5\u540c\u65f6\u5177\u6709\u4e24\u79cd\u989c\u8272\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13291\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2.png\" width=\"1080\" height=\"360\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-300x100.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-1024x341.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-2-768x256.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u5b83\u975e\u5e38\u8ff7\u4eba\u3002<\/p>\n<p>\u6709\u4e00\u4e2a\u4e09\u89d2\u5f62\uff0c\u73b0\u5728\u6709\u4e09\u79cd\u989c\u8272\uff1a<\/p>\n<p>\u4e00\u4e2a\u89d2\u662f\u7ea2\u8272\u7684\uff0c\u4e00\u4e2a\u662f\u84dd\u8272\u7684\uff0c\u4e00\u4e2a\u662f\u7eff\u8272\u7684\u3002<\/p>\n<p>\u5c06\u6b64\u4e09\u89d2\u5f62\u5212\u5206\u4e3a\u8f83\u5c0f\u7684\u4e09\u89d2\u5f62\uff0c<\/p>\n<p>\u4ee5\u4fbf\u5c06\u8fb9\u5206\u6210\u51e0\u6bb5\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13292\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3.png\" width=\"1080\" height=\"809\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-300x225.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-1024x767.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-768x575.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u6bcf\u6761\u5916\u90e8\u7684\u8fb9\u90fd\u9075\u5faa\u4e00\u7ef4\u89c4\u5219\uff1a<\/p>\n<p>\u8282\u70b9\u53ea\u80fd\u4f7f\u7528\u7ebf\u6bb5\u6700\u4e24\u7aef\u7684\u989c\u8272\u4e4b\u4e00\u3002<\/p>\n<p>\u800c\u5728\u4e09\u89d2\u5f62\u5185\u90e8\uff0c<\/p>\n<p>\u60a8\u53ef\u4ee5\u6309\u7167\u81ea\u5df1\u559c\u6b22\u7684\u4efb\u4f55\u65b9\u5f0f\u9009\u7528\u6240\u6709\u4e09\u79cd\u989c\u8272\u3002<\/p>\n<p>\u65af\u73c0\u7eb3\u5f15\u7406\u8bf4\uff0c\u65e0\u8bba\u4f60\u7528\u4ec0\u4e48\u65b9\u5f0f\u5212\u5206\u5b83\uff0c<\/p>\n<p>\u5982\u679c\u4f60\u505a\u8fd9\u79cd\u7740\u8272\uff0c<\/p>\n<p>\u4e00\u5b9a\u6709\u4e00\u4e2a\u4e09\u89d2\u5f62\u5177\u6709\u6240\u6709\u4e09\u79cd\u989c\u8272\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13293\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4.png\" width=\"1080\" height=\"864\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4.png 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-300x240.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-1024x819.png 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-768x614.png 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u51ef\u5c14\u00b7\u4f2f\u514b\uff08Kyle Burke\uff09\u662f\u6211\u7684\u5b66\u751f\uff0c<\/p>\n<p>\u5f53\u65f6\u4ece\u4e8b\u6570\u503c\u5206\u6790\u5de5\u4f5c\u3002<\/p>\n<p>\u4ed6\u6765\u5230\u6211\u7684\u529e\u516c\u5ba4\uff0c<\/p>\n<p>\u8bf4\u53ef\u80fd\u4f1a\u6709\u4e00\u4e2a\u6f02\u4eae\u7684\u65af\u4f69\u7eb3\u5f15\u7406\u68cb\u76d8\u6e38\u620f\uff1a<\/p>\n<p>\u4e24\u4e2a\u73a9\u5bb6\u8fed\u4ee3\u5730\u7ed9\u4e00\u4e2a\u68cb\u76d8\u4e0a\u8272\uff0c<\/p>\n<p>\u8c01\u4ea7\u751f\u51fa\u4e00\u4e2a\u4e09\u8272\u4e09\u89d2\u5f62\uff0c\u8c01\u5c31\u4f1a\u8f93\u6389\u6e38\u620f\u3002<\/p>\n<p>\u6700\u597d\u7684\u68cb\u76d8\u6e38\u620f\u6709\u8d62\u5bb6\u800c\u4e0d\u662f\u5e73\u5c40\uff0c<\/p>\n<p>\u5728\u8fd9\u91cc\uff0c\u663e\u7136\u6709\u4eba\u4f1a\u8d62\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\uff1f<\/p>\n<p>\u56e0\u4e3a\u65af\u4f69\u7eb3\u5f15\u7406\uff01<\/p>\n<p>\u6211\u6253\u7535\u8bdd\u7ed9\u6211\u7684\u670b\u53cb\u5927\u536b\u00b7\u57c3\u666e\u65af\u5766<\/p>\n<p>\uff08David Eppstein\uff0c\u52a0\u5dde\u5927\u5b66\u6b27\u6587\u5206\u6821Irvine\uff09\uff0c<\/p>\n<p>\u6765\u8c08\u8c08\u4ec0\u4e48\u662f\u597d\u7684\u68cb\u76d8\u6e38\u620f\u3002<\/p>\n<p>\u4ed6\u8bf4\uff1a\u201c\u4e00\u4e2a\u597d\u7684\u6e38\u620f\u6709\u7b80\u5355\u7684\u89c4\u5219\u548c\u6f02\u4eae\u7684\u68cb\u76d8\uff0c<\/p>\n<p>\u800c\u4e14\u5b83\u5fc5\u987b\u662fPSPACE\u96be\u5ea6\u7684\u3002\u201d<\/p>\n<p>\u56e0\u4e3a\u5982\u679c\u4f60\u80fd\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u89e3\u51b3\u5b83\uff0c<\/p>\n<p>\u8ba1\u7b97\u673a\u5c31\u4f1a\u4e00\u76f4\u6253\u8d25\u4f60\u3002<\/p>\n<p>\u6240\u4ee5\u6211\u4eec\u901a\u8fc7\u4e86\u8fd9\u4e9b\u6807\u51c6\u3002<\/p>\n<p>\u51ef\u5c14\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6e38\u620f\u7b80\u5355\u5417\uff1f\u201d<\/p>\n<p>\u6211\u8bf4\uff1a\u201c\u662f\u7684\uff0c\u5c31\u662f\u4e00\u53e5\u8bdd\uff01\u201d<\/p>\n<p>\u4ed6\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6e38\u620f\u662f\u4e30\u5bcc\u591a\u5f69\u7684\u5417\uff1f\u201d<\/p>\n<p>\u6211\u8bf4\uff1a\u201c\u8bbe\u8ba1\u4f7f\u7136\uff01\u201d<\/p>\n<p>\u7136\u540e\u4ed6\u8bf4\uff0c<\/p>\n<p>\u201c\u5982\u679c\u6211\u8bc1\u660e\u8fd9\u662fPSPACE\u56f0\u96be\u7684\uff0c<\/p>\n<p>\u6211\u80fd\u83b7\u5f97\u535a\u58eb\u5b66\u4f4d\u5417\uff1f\u201d<\/p>\n<p>\u6211\u7b54\u5e94\u4e86\uff0c\u4ed6\u7167\u505a\u4e86\u3002<\/p>\n<p>\u4ed6\u7684\u5b9a\u7406\u6709\u8bb8\u591a\u4e0d\u540c\u7684\u65b9\u9762\u3002<\/p>\n<p>\u5b83\u63ed\u793a\u4e86\u5173\u4e8e\u4e0d\u52a8\u70b9\u7684\u67d0\u4e9b\u4e8b\u60c5\uff0c<\/p>\n<p>\u8fd9\u662f\u6570\u5b66\u4e2d\u4e00\u4e2a\u975e\u5e38\u7f8e\u4e3d\u7684\u6982\u5ff5\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13294\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3.jpg\" width=\"1080\" height=\"775\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3.jpg 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-300x215.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-1024x735.jpg 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-3-768x551.jpg 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" \/><\/p>\n<p>\u6ed5\u4e0e\u524d\u5b66\u751f\u51ef\u5c14\u00b7\u4f2f\u514b\uff08\u5de6\uff09\u548c\u73b0\u4efb\u7814\u7a76\u751f\u9a6c\u4fee\u00b7\u8d39\u5170\u5fb7\uff08\u4e2d\uff09;<\/p>\n<p>\u4e09\u4eba\u6700\u8fd1\u53d1\u8868\u4e86\u4e00\u7bc7\u5173\u4e8e\u535a\u5f08\u6c42\u548c\u7684\u8bba\u6587\u3002\uff08\u56fe\u7247\u7531\u6ed5\u5c1a\u534e\u63d0\u4f9b\uff09<\/p>\n<p><strong>Q\uff1a\u6211\u53ef\u4ee5\u5728\u4efb\u4f55\u5730\u65b9\u73a9\u6e38\u620f\u5417\uff1f<\/strong><\/p>\n<p>\u5b83\u5728\u7f51\u4e0a\u53ef\u7528\uff08\u6709\u4e00\u4e9b\u5fae\u8c03\uff09\u3002<\/p>\n<p><strong>Q\uff1a\u4f60\u559c\u6b22\u73a9\u4ec0\u4e48\u6e38\u620f\uff1f<\/strong><\/p>\n<p>\u6211\u662f\u535a\u5f08\u7406\u8bba\u5bb6\u3002[\u7b11]\u3002<\/p>\n<p>\u6211\u548c\u5973\u513f\u4e00\u8d77\u73a9\u4e86\u4e00\u70b9\uff0c<\/p>\n<p>\u4f46\u6211\u4e0d\u662f\u4ece\u5c0f\u73a9\u8fd9\u4e9b\u957f\u5927\u7684\u3002<\/p>\n<p>\u4e0d\u50cf\u6211\u7684\u5b66\u751f\u90a3\u6837\uff0c\u4ed6\u4eec\u4e00\u751f\u90fd\u5728\u73a9\u6e38\u620f\u3002<\/p>\n<p><strong>Q\uff1a\u4f60\u5728\u68cb\u76d8\u6e38\u620f\u7684\u6570\u5b66\u65b9\u9762\u8fd8\u505a\u4e86\u54ea\u4e9b\u5de5\u4f5c\uff1f<\/strong><\/p>\n<p>\u6211\u4eec\u6700\u8fd1\u6709\u4e00\u7bc7\u5173\u4e8e\u4e00\u4e2a\u60ac\u800c\u672a\u51b3\u95ee\u9898\u7684\u8bba\u6587\uff1a<\/p>\n<p>\u5982\u679c\u4f60\u628a\u4e24\u4e2a\u591a\u9879\u5f0f\u65f6\u95f4\u53ef\u89e3\u7684\u6e38\u620f\u5e76\u6392\u653e\u7f6e\u5728\u4e00\u8d77\uff0c<\/p>\n<p>\u8fd9\u4f1a\u4f7f\u5b83\u4eec\u6210\u4e3aPSPACE\u56f0\u96be\u5417\uff1f<\/p>\n<p>\u5728\u6bcf\u4e00\u6b65\u4e2d\uff0c\u4f60\u53ea\u80fd\u73a9\u5176\u4e2d\u4e4b\u4e00\u3002<\/p>\n<p>\u8fd9\u79f0\u4e3a<strong>\u535a\u5f08\u6c42\u548c<\/strong>\uff08summation of games\uff09\u3002<\/p>\n<p><strong>Q\uff1a\u5c06\u4e24\u4e2a\u6e38\u620f\u653e\u5728\u4e00\u8d77\u610f\u5473\u7740\u4ec0\u4e48\uff1f<\/strong><\/p>\n<p>\u5728\u53e4\u4ee3\u56f4\u68cb\u6e38\u620f\u4e2d\uff0c\u5f53\u4f60\u653e\u4e0b\u8db3\u591f\u591a\u7684\u77f3\u5934\u68cb\u5b50\u65f6\uff0c<\/p>\n<p>\u4f60\u4f1a\u5f97\u5230\u8bb8\u591a\u72ec\u7acb\u7684\u7ade\u6280\u573a\uff0c<\/p>\n<p>\u6240\u4ee5\u4ece\u67d0\u79cd\u610f\u4e49\u4e0a\u8bf4\uff0c<\/p>\n<p>\u4f60\u662f\u5728\u73a9\u4e00\u628a\u6e38\u620f\u3002<\/p>\n<p>\u4f60\u5fc5\u987b\u62c5\u5fc3\u8fd9\u4e2a\u89d2\u843d\u548c\u90a3\u4e2a\u89d2\u843d\u3002<\/p>\n<p>\u4f60\u60f3\u8d62\u5f97\u6574\u4e2a\u90e8\u5206\uff0c<\/p>\n<p>\u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u4f60\u5fc5\u987b\u8d62\u5f97\u6bcf\u4e00\u4e2a\u90e8\u5206\u3002<\/p>\n<p>\u8fd9\u5728\u54f2\u5b66\u4e0a\u5f88\u6709\u8da3\uff0c\u5bf9\u5427\uff1f<\/p>\n<p>\u8fd9\u5c31\u50cf\u4f60\u6709\u4e00\u573a\u6218\u4e89\uff0c\u5b83\u6709\u5f88\u591a\u6218\u6597\uff0c<\/p>\n<p>\u4f46\u4f60\u7684\u6ce8\u610f\u529b\u662f\u6709\u9650\u7684\u3002<\/p>\n<p>\u5728\u4efb\u4f55\u65f6\u5019\uff0c\u4f60\u53ea\u80fd\u5728\u5176\u4e2d\u4e00\u4e2a\u6218\u573a\u4e0a\u505a\u51fa\u4e00\u4e2a\u51b3\u5b9a\uff0c<\/p>\n<p>\u800c\u4f60\u7684\u5bf9\u624b\u53ef\u4ee5\u5728\u5176\u4ed6\u6218\u573a\u4e0a\u505a\u51fa\u53cd\u5e94\u6216\u52a0\u500d\u52aa\u529b\u3002<\/p>\n<p>\u6211\u8bd5\u56fe\u5411\u7236\u4eb2\u89e3\u91ca\u8fd9\u4e00\u70b9\u3002<\/p>\n<p>\u5f53\u4f60\u73a9\u4e00\u628a\u6e38\u620f\u65f6\uff0c<\/p>\n<p>\u5b83\u5b9e\u9645\u4e0a\u610f\u5473\u7740\uff1a\u4f60\u5982\u4f55\u5728\u6218\u7565\u4e0a\u8f93\u6389\uff1f<\/p>\n<p>\u6211\u4eec\u5728\u4e24\u4e2a\u6e38\u620f\u4e2d\u8bc1\u660e\u4e86\u5b83\uff0c<\/p>\n<p>\u4f46\u662f\u4f60\u53ef\u4ee5\u628a\u4e09\u4e2a\u6e38\u620f\u653e\u5728\u4e00\u8d77\uff0c<\/p>\n<p>\u8fd9\u4e2a\u5b9a\u7406\u4ecd\u7136\u662f\u6b63\u786e\u7684\uff1a<\/p>\n<p>\u4e09\u4e2a\u591a\u9879\u5f0f\u65f6\u95f4\u6e38\u620f\u653e\u5728\u4e00\u8d77\u53ef\u4ee5\u53d8\u6210PSPACE\u56f0\u96be\u7684\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-13296\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4.jpg\" width=\"1080\" height=\"670\" alt=\"\u56fe\u7247\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4.jpg 1080w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-300x186.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-1024x635.jpg 1024w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2023\/06\/4ffce04d92a4d6cb21c1494cdfcd6dc1-4-768x476.jpg 768w\" sizes=\"auto, (max-width: 1080px) 100vw, 1080px\" 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