{"id":941,"date":"2026-02-09T07:37:22","date_gmt":"2026-02-09T07:37:22","guid":{"rendered":"https:\/\/learndeeplytw.com\/zh_tw\/church-turing-thesis\/"},"modified":"2026-02-10T15:18:13","modified_gmt":"2026-02-10T15:18:13","slug":"church-turing-thesis","status":"publish","type":"post","link":"https:\/\/learndeeplytw.com\/en\/church-turing-thesis\/","title":{"rendered":"\u90b1\u5947-\u5716\u9748\u8ad6\u984c\uff1a\u8a08\u7b97\u7406\u8ad6\u7684\u54f2\u5b78\u57fa\u77f3"},"content":{"rendered":"<h2>\u5f15\u8a00\uff1a\u8a08\u7b97\u7684\u672c\u8cea\u662f\u4ec0\u9ebc\uff1f<\/h2>\n<p>1936\u5e74\uff0c\u5169\u4f4d\u6578\u5b78\u5bb6\u5e7e\u4e4e\u540c\u6642\u56de\u7b54\u4e86\u4e00\u500b\u56f0\u64fe\u6578\u5b78\u754c\u591a\u5e74\u7684\u554f\u984c\uff1a\u4ec0\u9ebc\u662f\u300c\u53ef\u8a08\u7b97\u300d\uff1f\u963f\u9686\u4f50\u00b7\u90b1\u5947\uff08Alonzo Church\uff09\u548c\u827e\u502b\u00b7\u5716\u9748\uff08Alan Turing\uff09\u5404\u81ea\u7368\u7acb\u5730\u63d0\u51fa\u4e86\u8a08\u7b97\u7684\u56b4\u683c\u6578\u5b78\u5b9a\u7fa9\uff0c\u9019\u500b\u767c\u73fe\u4e0d\u50c5\u89e3\u6c7a\u4e86\u5e0c\u723e\u4f2f\u7279\u7684\u300c\u5224\u5b9a\u554f\u984c\u300d\uff0c\u66f4\u70ba\u73fe\u4ee3\u8a08\u7b97\u6a5f\u79d1\u5b78\u5960\u5b9a\u4e86\u7406\u8ad6\u57fa\u790e\u3002<\/p>\n<p>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\uff08Church-Turing Thesis\uff09\u4e3b\u5f35\uff1a<strong>\u4efb\u4f55\u5728\u7b97\u6cd5\u4e0a\u53ef\u8a08\u7b97\u7684\u554f\u984c\uff0c\u90fd\u53ef\u4ee5\u7531\u5716\u9748\u6a5f\u4f86\u8a08\u7b97<\/strong>\u3002\u9019\u500b\u8ad6\u984c\u96d6\u7136\u7121\u6cd5\u88ab\u8b49\u660e\uff0c\u537b\u6210\u70ba\u8a08\u7b97\u7406\u8ad6\u7684\u57fa\u77f3\uff0c\u5b9a\u7fa9\u4e86\u8a08\u7b97\u6a5f\u80fd\u529b\u7684\u6975\u9650\uff0c\u4e5f\u70ba\u4eba\u5de5\u667a\u80fd\u548c\u91cf\u5b50\u8a08\u7b97\u7b49\u9818\u57df\u63d0\u4f9b\u4e86\u7406\u8ad6\u6846\u67b6\u3002<\/p>\n<h2>\u6b77\u53f2\u80cc\u666f\uff1a\u5e0c\u723e\u4f2f\u7279\u7684\u6311\u6230<\/h2>\n<p>20\u4e16\u7d00\u521d\uff0c\u6578\u5b78\u5bb6\u5927\u885b\u00b7\u5e0c\u723e\u4f2f\u7279\uff08David Hilbert\uff09\u63d0\u51fa\u4e86\u4e00\u7cfb\u5217\u554f\u984c\uff0c\u5176\u4e2d\u7b2c\u5341\u554f\u984c\u8a62\u554f\uff1a<strong>\u662f\u5426\u5b58\u5728\u4e00\u500b\u901a\u7528\u7684\u6f14\u7b97\u6cd5\uff0c\u80fd\u5920\u5224\u5b9a\u4efb\u4f55\u6578\u5b78\u547d\u984c\u7684\u771f\u5047\uff1f<\/strong>\u9019\u5c31\u662f\u8457\u540d\u7684\u300c\u5224\u5b9a\u554f\u984c\u300d\uff08Entscheidungsproblem\uff09\u3002<\/p>\n<p>\u5e0c\u723e\u4f2f\u7279\u76f8\u4fe1\u6578\u5b78\u662f\u5b8c\u5099\u4e14\u4e00\u81f4\u7684\uff0c\u6240\u6709\u6578\u5b78\u554f\u984c\u90fd\u61c9\u8a72\u80fd\u5920\u901a\u904e\u6a5f\u68b0\u5316\u7684\u6b65\u9a5f\u4f86\u89e3\u6c7a\u3002\u7136\u800c\uff0c\u8981\u56de\u7b54\u9019\u500b\u554f\u984c\uff0c\u9996\u5148\u5fc5\u9808\u56b4\u683c\u5b9a\u7fa9\u4ec0\u9ebc\u662f\u300c\u7b97\u6cd5\u300d\u3001\u4ec0\u9ebc\u662f\u300c\u53ef\u8a08\u7b97\u300d\u3002\u57281930\u5e74\u4ee3\u4e4b\u524d\uff0c\u9019\u4e9b\u6982\u5ff5\u53ea\u662f\u76f4\u89ba\u4e0a\u7684\u7406\u89e3\uff0c\u7f3a\u4e4f\u7cbe\u78ba\u7684\u6578\u5b78\u5b9a\u7fa9\u3002<\/p>\n<h3>\u4e09\u7a2e\u8a08\u7b97\u6a21\u578b\u7684\u8a95\u751f<\/h3>\n<p>1930\u5e74\u4ee3\uff0c\u4e09\u7a2e\u7368\u7acb\u7684\u8a08\u7b97\u6a21\u578b\u5e7e\u4e4e\u540c\u6642\u51fa\u73fe\uff1a<\/p>\n<ul>\n<li><strong>\u03bb-\u6f14\u7b97\uff08Lambda Calculus\uff09<\/strong>\uff1a1936\u5e74\uff0c\u963f\u9686\u4f50\u00b7\u90b1\u5947\u63d0\u51fa\u7684\u51fd\u6578\u5b9a\u7fa9\u7cfb\u7d71\uff0c\u4f7f\u7528\u51fd\u6578\u62bd\u8c61\u548c\u61c9\u7528\u4f86\u8868\u9054\u8a08\u7b97\u3002<\/li>\n<li><strong>\u5716\u9748\u6a5f\uff08Turing Machine\uff09<\/strong>\uff1a1936\u5e74\uff0c\u827e\u502b\u00b7\u5716\u9748\u8a2d\u8a08\u7684\u7406\u8ad6\u8a08\u7b97\u6a5f\u6a21\u578b\uff0c\u5177\u6709\u7121\u9650\u9577\u7684\u7d19\u5e36\u548c\u8b80\u5beb\u982d\u3002<\/li>\n<li><strong>\u905e\u6b78\u51fd\u6578\uff08Recursive Functions\uff09<\/strong>\uff1a\u5eab\u723e\u7279\u00b7\u54e5\u5fb7\u723e\uff08Kurt G\u00f6del\uff09\u548c\u96c5\u514b\u00b7\u57c3\u723e\u5e03\u6717\uff08Jacques Herbrand\uff09\u63d0\u51fa\u7684\u6578\u8ad6\u51fd\u6578\u9ad4\u7cfb\u3002<\/li>\n<\/ul>\n<p>\u4ee4\u4eba\u9a5a\u8a1d\u7684\u662f\uff0c\u9019\u4e09\u7a2e\u770b\u4f3c\u4e0d\u540c\u7684\u6a21\u578b\u6700\u7d42\u88ab\u8b49\u660e\u662f<strong>\u7b49\u50f9\u7684<\/strong>\u2014\u2014\u5b83\u5011\u5b9a\u7fa9\u4e86\u540c\u4e00\u985e\u51fd\u6578\u96c6\u5408\u3002\u9019\u500b\u767c\u73fe\u70ba\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u63d0\u4f9b\u4e86\u5f37\u6709\u529b\u7684\u8b49\u64da\u3002<\/p>\n<h2>\u963f\u9686\u4f50\u00b7\u90b1\u5947\u7684\u8ca2\u737b\uff1a\u03bb-\u6f14\u7b97<\/h2>\n<p>\u90b1\u5947\u57281932\u5e74\u958b\u59cb\u767c\u5c55\u03bb-\u6f14\u7b97\uff0c\u9019\u662f\u4e00\u7a2e\u5f62\u5f0f\u5316\u7684\u51fd\u6578\u5b9a\u7fa9\u65b9\u6cd5\u3002\u03bb-\u6f14\u7b97\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a<strong>\u51fd\u6578\u65e2\u53ef\u4ee5\u4f5c\u70ba\u53c3\u6578\u50b3\u905e\uff0c\u4e5f\u53ef\u4ee5\u4f5c\u70ba\u8fd4\u56de\u503c<\/strong>\u3002\u9019\u7a2e\u9ad8\u968e\u51fd\u6578\u7684\u6982\u5ff5\u5f8c\u4f86\u6210\u70ba\u73fe\u4ee3\u7de8\u7a0b\u8a9e\u8a00\uff08\u5982Haskell\u3001JavaScript\u3001Python\uff09\u7684\u91cd\u8981\u7279\u6027\u3002<\/p>\n<h3>\u03bb-\u6f14\u7b97\u7684\u57fa\u672c\u7d50\u69cb<\/h3>\n<p>\u03bb-\u6f14\u7b97\u53ea\u6709\u4e09\u7a2e\u57fa\u672c\u5143\u7d20\uff1a<\/p>\n<ol>\n<li><strong>\u8b8a\u91cf<\/strong>\uff1ax, y, z<\/li>\n<li><strong>\u51fd\u6578\u62bd\u8c61<\/strong>\uff1a\u03bbx.M\uff08\u5b9a\u7fa9\u4e00\u500b\u63a5\u53d7\u53c3\u6578x\u7684\u51fd\u6578\uff0c\u8fd4\u56deM\uff09<\/li>\n<li><strong>\u51fd\u6578\u61c9\u7528<\/strong>\uff1a(M N)\uff08\u5c07\u51fd\u6578M\u61c9\u7528\u5230\u53c3\u6578N\u4e0a\uff09<\/li>\n<\/ol>\n<p>\u4f8b\u5982\uff0c\u6046\u7b49\u51fd\u6578\u53ef\u4ee5\u8868\u793a\u70ba\uff1a\u03bbx.x<br \/>\n\u5c07\u9019\u500b\u51fd\u6578\u61c9\u7528\u5230\u53c3\u65785\u4e0a\uff1a(\u03bbx.x) 5 \u2192 5<\/p>\n<h3>\u90b1\u5947\u7684\u8b49\u660e\u7b56\u7565<\/h3>\n<p>\u90b1\u5947\u57281936\u5e74\u767c\u8868\u7684\u8ad6\u6587\u4e2d\u8b49\u660e\u4e86\u300c\u5224\u5b9a\u554f\u984c\u300d\u5728\u03bb-\u6f14\u7b97\u6846\u67b6\u4e0b\u662f\u4e0d\u53ef\u89e3\u7684\u3002\u4ed6\u7684\u8b49\u660e\u601d\u8def\u662f\uff1a<\/p>\n<ol>\n<li>\u5c07\u6578\u5b78\u547d\u984c\u7de8\u78bc\u70ba\u03bb-\u8868\u9054\u5f0f<\/li>\n<li>\u8b49\u660e\u4e0d\u5b58\u5728\u4e00\u500b\u03bb-\u51fd\u6578\u80fd\u5920\u5224\u5b9a\u6240\u6709\u03bb-\u8868\u9054\u5f0f\u7684\u6027\u8cea<\/li>\n<li>\u56e0\u6b64\uff0c\u5224\u5b9a\u554f\u984c\u7121\u89e3<\/li>\n<\/ol>\n<p>\u90b1\u5947\u9084\u63d0\u51fa\u4e86\u300c\u90b1\u5947\u8ad6\u984c\u300d\uff08Church&#8217;s Thesis\uff09\uff1a<strong>\u6240\u6709\u6709\u6548\u53ef\u8a08\u7b97\u7684\u51fd\u6578\u90fd\u662f\u03bb-\u53ef\u5b9a\u7fa9\u7684<\/strong>\u3002\u9019\u662f\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u7684\u65e9\u671f\u7248\u672c\u3002<\/p>\n<h2>\u827e\u502b\u00b7\u5716\u9748\u7684\u8ca2\u737b\uff1a\u5716\u9748\u6a5f<\/h2>\n<p>\u5716\u9748\u57281936\u5e74\u767c\u8868\u7684\u8ad6\u6587\u300a\u8ad6\u53ef\u8a08\u7b97\u6578\u53ca\u5176\u5728\u5224\u5b9a\u554f\u984c\u4e2d\u7684\u61c9\u7528\u300b\u4e2d\uff0c\u63d0\u51fa\u4e86\u5716\u9748\u6a5f\u6a21\u578b\u3002\u8207\u90b1\u5947\u7684\u62bd\u8c61\u6578\u5b78\u65b9\u6cd5\u4e0d\u540c\uff0c\u5716\u9748\u63a1\u7528\u4e86\u66f4\u76f4\u89c0\u7684\u300c\u6a5f\u68b0\u8a08\u7b97\u300d\u8996\u89d2\u3002<\/p>\n<h3>\u5716\u9748\u6a5f\u7684\u7d50\u69cb<\/h3>\n<p>\u5716\u9748\u6a5f\u5305\u542b\u4ee5\u4e0b\u7d44\u6210\u90e8\u5206\uff1a<\/p>\n<ul>\n<li><strong>\u7121\u9650\u9577\u7684\u7d19\u5e36<\/strong>\uff1a\u4f5c\u70ba\u5b58\u5132\u5668\uff0c\u5206\u70ba\u683c\u5b50\uff0c\u6bcf\u500b\u683c\u5b50\u53ef\u4ee5\u5beb\u5165\u7b26\u865f<\/li>\n<li><strong>\u8b80\u5beb\u982d<\/strong>\uff1a\u53ef\u4ee5\u8b80\u53d6\u3001\u5beb\u5165\u7b26\u865f\uff0c\u4e26\u5de6\u53f3\u79fb\u52d5<\/li>\n<li><strong>\u72c0\u614b\u96c6\u5408<\/strong>\uff1a\u6709\u9650\u500b\u5167\u90e8\u72c0\u614b<\/li>\n<li><strong>\u8f49\u79fb\u51fd\u6578<\/strong>\uff1a\u6839\u64da\u7576\u524d\u72c0\u614b\u548c\u8b80\u53d6\u7684\u7b26\u865f\uff0c\u6c7a\u5b9a\u4e0b\u4e00\u6b65\u52d5\u4f5c<\/li>\n<\/ul>\n<h3>\u5716\u9748\u6a5f\u7684\u5de5\u4f5c\u539f\u7406<\/h3>\n<p>\u5716\u9748\u6a5f\u7684\u8a08\u7b97\u904e\u7a0b\u53ef\u4ee5\u63cf\u8ff0\u70ba\uff1a<\/p>\n<ol>\n<li>\u8b80\u5beb\u982d\u6383\u63cf\u7576\u524d\u683c\u5b50\u7684\u7b26\u865f<\/li>\n<li>\u6839\u64da\u7576\u524d\u72c0\u614b\u548c\u7b26\u865f\uff0c\u67e5\u95b1\u8f49\u79fb\u51fd\u6578<\/li>\n<li>\u5beb\u5165\u65b0\u7b26\u865f\uff08\u6216\u4fdd\u6301\u4e0d\u8b8a\uff09<\/li>\n<li>\u79fb\u52d5\u8b80\u5beb\u982d\uff08\u5de6\u79fb\u3001\u53f3\u79fb\u6216\u505c\u6b62\uff09<\/li>\n<li>\u8f49\u63db\u5230\u65b0\u72c0\u614b<\/li>\n<li>\u91cd\u8907\u4ee5\u4e0a\u6b65\u9a5f\uff0c\u76f4\u5230\u9032\u5165\u300c\u505c\u6a5f\u72c0\u614b\u300d<\/li>\n<\/ol>\n<h3>\u5716\u9748\u7684\u8b49\u660e\u7b56\u7565<\/h3>\n<p>\u5716\u9748\u8b49\u660e\u4e86\u300c\u505c\u6a5f\u554f\u984c\u300d\uff08Halting Problem\uff09\u662f\u4e0d\u53ef\u5224\u5b9a\u7684\uff1a<strong>\u4e0d\u5b58\u5728\u4e00\u500b\u901a\u7528\u7b97\u6cd5\uff0c\u80fd\u5920\u5224\u65b7\u4efb\u610f\u5716\u9748\u6a5f\u5728\u4efb\u610f\u8f38\u5165\u4e0a\u662f\u5426\u6703\u505c\u6a5f<\/strong>\u3002<\/p>\n<p>\u8b49\u660e\u63a1\u7528\u4e86\u7d93\u5178\u7684\u300c\u5c0d\u89d2\u7dda\u8ad6\u8b49\u300d\uff08Diagonalization\uff09\uff1a<\/p>\n<ol>\n<li>\u5047\u8a2d\u5b58\u5728\u4e00\u500b\u5716\u9748\u6a5fH\uff0c\u80fd\u5920\u5224\u5b9a\u4efb\u610f\u5716\u9748\u6a5f\u662f\u5426\u505c\u6a5f<\/li>\n<li>\u69cb\u9020\u4e00\u500b\u65b0\u5716\u9748\u6a5fD\uff0c\u7576H\u5224\u5b9a\u5b83\u6703\u505c\u6a5f\u6642\uff0c\u5b83\u5c31\u9677\u5165\u7121\u9650\u5faa\u74b0\uff1b\u7576H\u5224\u5b9a\u5b83\u4e0d\u505c\u6a5f\u6642\uff0c\u5b83\u5c31\u505c\u6a5f<\/li>\n<li>\u5c07D\u61c9\u7528\u5230\u81ea\u8eab\uff0c\u7522\u751f\u77db\u76fe<\/li>\n<li>\u56e0\u6b64\uff0cH\u4e0d\u5b58\u5728<\/li>\n<\/ol>\n<p>\u9019\u500b\u8b49\u660e\u76f4\u63a5\u56de\u7b54\u4e86\u5e0c\u723e\u4f2f\u7279\u7684\u5224\u5b9a\u554f\u984c\uff1a<strong>\u4e0d\u5b58\u5728\u901a\u7528\u7684\u5224\u5b9a\u7b97\u6cd5<\/strong>\u3002<\/p>\n<h2>\u5169\u7a2e\u6a21\u578b\u7684\u7b49\u50f9\u6027<\/h2>\n<p>\u5716\u9748\u5728\u5f97\u77e5\u90b1\u5947\u7684\u5de5\u4f5c\u5f8c\uff0c\u5f88\u5feb\u8b49\u660e\u4e86\u03bb-\u6f14\u7b97\u548c\u5716\u9748\u6a5f\u662f\u7b49\u50f9\u7684\uff1a<\/p>\n<ul>\n<li>\u4efb\u4f55\u03bb-\u53ef\u5b9a\u7fa9\u7684\u51fd\u6578\u90fd\u53ef\u4ee5\u7528\u5716\u9748\u6a5f\u8a08\u7b97<\/li>\n<li>\u4efb\u4f55\u5716\u9748\u53ef\u8a08\u7b97\u7684\u51fd\u6578\u90fd\u53ef\u4ee5\u7528\u03bb-\u6f14\u7b97\u8868\u9054<\/li>\n<\/ul>\n<p>\u9019\u500b\u7b49\u50f9\u6027\u8b49\u660e\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u70ba\u5b83\u8868\u660e\uff1a<strong>\u8a08\u7b97\u7684\u672c\u8cea\u8207\u5177\u9ad4\u7684\u8868\u9054\u65b9\u5f0f\u7121\u95dc<\/strong>\u3002\u7121\u8ad6\u4f7f\u7528\u51fd\u6578\u5f0f\u7684\u03bb-\u6f14\u7b97\uff0c\u9084\u662f\u6a5f\u68b0\u5f0f\u7684\u5716\u9748\u6a5f\uff0c\u90fd\u80fd\u9054\u5230\u76f8\u540c\u7684\u8a08\u7b97\u80fd\u529b\u3002<\/p>\n<p>\u5f8c\u4f86\uff0c\u905e\u6b78\u51fd\u6578\u7406\u8ad6\u4e5f\u88ab\u8b49\u660e\u8207\u9019\u5169\u8005\u7b49\u50f9\u3002\u9019\u4e09\u7a2e\u7368\u7acb\u63d0\u51fa\u7684\u6a21\u578b\u7adf\u7136\u5b9a\u7fa9\u4e86\u540c\u4e00\u985e\u51fd\u6578\uff0c\u9019\u7d55\u975e\u5de7\u5408\uff0c\u800c\u662f\u63ed\u793a\u4e86\u8a08\u7b97\u7684\u5167\u5728\u672c\u8cea\u3002<\/p>\n<h2>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u7684\u8868\u8ff0<\/h2>\n<p>\u57fa\u65bc\u4e0a\u8ff0\u767c\u73fe\uff0c\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u53ef\u4ee5\u8868\u8ff0\u70ba\uff1a<\/p>\n<blockquote>\n<p><strong>\u4efb\u4f55\u76f4\u89ba\u4e0a\u300c\u53ef\u6709\u6548\u8a08\u7b97\u300d\u7684\u51fd\u6578\uff0c\u90fd\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\uff08\u6216\u7b49\u50f9\u5730\uff0c\u03bb-\u53ef\u5b9a\u7fa9\u7684\u3001\u905e\u6b78\u7684\uff09\u3002<\/strong><\/p>\n<\/blockquote>\n<p>\u63db\u53e5\u8a71\u8aaa\uff0c<strong>\u5716\u9748\u6a5f\u5b9a\u7fa9\u4e86\u8a08\u7b97\u7684\u6975\u9650<\/strong>\u3002\u5982\u679c\u4e00\u500b\u554f\u984c\u4e0d\u80fd\u7528\u5716\u9748\u6a5f\u89e3\u6c7a\uff0c\u90a3\u9ebc\u5b83\u5c31\u7121\u6cd5\u7528\u4efb\u4f55\u7b97\u6cd5\u89e3\u6c7a\u3002<\/p>\n<h3>\u70ba\u4ec0\u9ebc\u662f\u300c\u8ad6\u984c\u300d\u800c\u975e\u300c\u5b9a\u7406\u300d\uff1f<\/h3>\n<p>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u7121\u6cd5\u88ab\u8b49\u660e\uff0c\u56e0\u70ba\u5b83\u9023\u63a5\u4e86\u5169\u500b\u4e0d\u540c\u5c64\u6b21\u7684\u6982\u5ff5\uff1a<\/p>\n<ul>\n<li><strong>\u300c\u53ef\u6709\u6548\u8a08\u7b97\u300d<\/strong>\uff1a\u4e00\u500b\u76f4\u89ba\u7684\u3001\u975e\u5f62\u5f0f\u5316\u7684\u6982\u5ff5<\/li>\n<li><strong>\u300c\u5716\u9748\u53ef\u8a08\u7b97\u300d<\/strong>\uff1a\u4e00\u500b\u7cbe\u78ba\u7684\u3001\u5f62\u5f0f\u5316\u7684\u6578\u5b78\u5b9a\u7fa9<\/li>\n<\/ul>\n<p>\u7531\u65bc\u300c\u53ef\u6709\u6548\u8a08\u7b97\u300d\u6c92\u6709\u56b4\u683c\u5b9a\u7fa9\uff0c\u7121\u6cd5\u7528\u6578\u5b78\u65b9\u6cd5\u8b49\u660e\u5169\u8005\u7b49\u50f9\u3002\u7136\u800c\uff0c80\u591a\u5e74\u4f86\uff0c\u6c92\u6709\u4eba\u627e\u5230\u53cd\u4f8b\uff0c\u6240\u6709\u88ab\u8a8d\u70ba\u662f\u53ef\u8a08\u7b97\u7684\u51fd\u6578\u90fd\u88ab\u8b49\u660e\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\u3002\u56e0\u6b64\uff0c\u5b78\u754c\u666e\u904d\u63a5\u53d7\u9019\u500b\u8ad6\u984c\u70ba\u771f\u3002<\/p>\n<h2>\u73fe\u4ee3\u610f\u7fa9\u8207\u5f71\u97ff<\/h2>\n<h3>1. \u8a08\u7b97\u6a5f\u79d1\u5b78\u7684\u7406\u8ad6\u57fa\u790e<\/h3>\n<p>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u70ba\u8a08\u7b97\u6a5f\u79d1\u5b78\u63d0\u4f9b\u4e86\u7406\u8ad6\u908a\u754c\u3002\u73fe\u4ee3\u6240\u6709\u7684\u7de8\u7a0b\u8a9e\u8a00\u2014\u2014\u5f9eC\u3001Java\u5230Python\u3001JavaScript\u2014\u2014\u90fd\u662f\u300c\u5716\u9748\u5b8c\u5168\u300d\u7684\uff0c\u610f\u5473\u8457\u5b83\u5011\u7684\u8a08\u7b97\u80fd\u529b\u7b49\u50f9\u65bc\u5716\u9748\u6a5f\u3002<\/p>\n<h3>2. \u4e0d\u53ef\u8a08\u7b97\u554f\u984c\u7684\u5b58\u5728<\/h3>\n<p>\u8ad6\u984c\u63ed\u793a\u4e86\u8a08\u7b97\u7684\u6975\u9650\uff1a<\/p>\n<ul>\n<li><strong>\u505c\u6a5f\u554f\u984c<\/strong>\uff1a\u7121\u6cd5\u5224\u5b9a\u4efb\u610f\u7a0b\u5e8f\u662f\u5426\u6703\u7d42\u6b62<\/li>\n<li><strong>\u54e5\u5fb7\u723e\u4e0d\u5b8c\u5099\u5b9a\u7406<\/strong>\uff1a\u67d0\u4e9b\u6578\u5b78\u771f\u7406\u7121\u6cd5\u88ab\u8b49\u660e<\/li>\n<li><strong>\u6ce2\u65af\u7279\u5c0d\u61c9\u554f\u984c<\/strong>\uff1a\u67d0\u4e9b\u5b57\u7b26\u4e32\u5339\u914d\u554f\u984c\u7121\u89e3<\/li>\n<\/ul>\n<p>\u9019\u4e9b\u4e0d\u53ef\u8a08\u7b97\u554f\u984c\u8868\u660e\uff0c<strong>\u5b58\u5728\u4eba\u985e\u80fd\u7406\u89e3\u4f46\u8a08\u7b97\u6a5f\u7121\u6cd5\u89e3\u6c7a\u7684\u554f\u984c<\/strong>\u3002<\/p>\n<h3>3. \u4eba\u5de5\u667a\u80fd\u7684\u54f2\u5b78\u57fa\u790e<\/h3>\n<p>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u5f15\u767c\u4e86\u95dc\u65bc\u4eba\u985e\u667a\u80fd\u7684\u6df1\u523b\u554f\u984c\uff1a<\/p>\n<ul>\n<li><strong>\u7269\u7406\u90b1\u5947-\u5716\u9748\u8ad6\u984c<\/strong>\uff1a\u5b87\u5b99\u4e2d\u7684\u6240\u6709\u7269\u7406\u904e\u7a0b\u90fd\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\u55ce\uff1f<\/li>\n<li><strong>\u8a8d\u77e5\u79d1\u5b78\u554f\u984c<\/strong>\uff1a\u4eba\u985e\u601d\u7dad\u662f\u8a08\u7b97\u904e\u7a0b\u55ce\uff1f\u5982\u679c\u662f\uff0c\u5b83\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\u55ce\uff1f<\/li>\n<\/ul>\n<p>\u7f85\u5091\u00b7\u6f58\u6d1b\u65af\uff08Roger Penrose\uff09\u7b49\u5b78\u8005\u8a8d\u70ba\uff0c\u4eba\u985e\u610f\u8b58\u53ef\u80fd\u6d89\u53ca\u91cf\u5b50\u6548\u61c9\uff0c\u8d85\u8d8a\u4e86\u5716\u9748\u6a5f\u7684\u80fd\u529b\u3002\u4f46\u9019\u4e00\u89c0\u9ede\u4ecd\u6709\u722d\u8b70\u3002<\/p>\n<h3>4. \u91cf\u5b50\u8a08\u7b97\u7684\u6311\u6230\uff1f<\/h3>\n<p>\u91cf\u5b50\u8a08\u7b97\u6a5f\u80fd\u5426\u9055\u53cd\u90b1\u5947-\u5716\u9748\u8ad6\u984c\uff1f<\/p>\n<p>\u76ee\u524d\u7684\u5171\u8b58\u662f\uff1a<strong>\u91cf\u5b50\u8a08\u7b97\u6a5f\u5728\u8a08\u7b97\u80fd\u529b\u4e0a\u4e26\u4e0d\u8d85\u8d8a\u5716\u9748\u6a5f<\/strong>\u3002\u4efb\u4f55\u91cf\u5b50\u7b97\u6cd5\u90fd\u53ef\u4ee5\u88ab\u7d93\u5178\u5716\u9748\u6a5f\u6a21\u64ec\uff08\u5118\u7ba1\u53ef\u80fd\u975e\u5e38\u6162\uff09\u3002\u91cf\u5b50\u8a08\u7b97\u6a5f\u7684\u512a\u52e2\u5728\u65bc<strong>\u6548\u7387<\/strong>\uff0c\u800c\u975e\u8a08\u7b97\u80fd\u529b\u672c\u8eab\u3002<\/p>\n<p>\u7136\u800c\uff0c\u300c\u64f4\u5c55\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u300d\uff08Extended Church-Turing Thesis\uff09\u8a8d\u70ba\uff1a\u4efb\u4f55\u7269\u7406\u4e0a\u53ef\u5be6\u73fe\u7684\u8a08\u7b97\uff0c\u90fd\u53ef\u4ee5\u88ab\u7d93\u5178\u8a08\u7b97\u6a5f\u4ee5\u591a\u9805\u5f0f\u6642\u9593\u958b\u92b7\u6a21\u64ec\u3002\u91cf\u5b50\u8a08\u7b97\u5c0d\u9019\u500b\u64f4\u5c55\u7248\u672c\u63d0\u51fa\u4e86\u6311\u6230\u3002<\/p>\n<h3>5. \u03bb-\u6f14\u7b97\u7684\u73fe\u4ee3\u61c9\u7528<\/h3>\n<p>\u90b1\u5947\u7684\u03bb-\u6f14\u7b97\u76f4\u63a5\u5f71\u97ff\u4e86\u73fe\u4ee3\u7de8\u7a0b\u8a9e\u8a00\u7684\u8a2d\u8a08\uff1a<\/p>\n<ul>\n<li><strong>\u51fd\u6578\u5f0f\u7de8\u7a0b<\/strong>\uff1aHaskell\u3001Lisp\u3001Scheme\u3001Clojure<\/li>\n<li><strong>\u9ad8\u968e\u51fd\u6578<\/strong>\uff1aJavaScript\u7684map\u3001filter\u3001reduce<\/li>\n<li><strong>\u985e\u578b\u7cfb\u7d71<\/strong>\uff1a\u57fa\u65bc\u03bb-\u6f14\u7b97\u7684\u985e\u578b\u7406\u8ad6<\/li>\n<li><strong>\u7de8\u8b6f\u5668\u512a\u5316<\/strong>\uff1a\u03bb-\u6f14\u7b97\u7528\u65bc\u7a0b\u5e8f\u5206\u6790\u548c\u8f49\u63db<\/li>\n<\/ul>\n<h2>\u6279\u5224\u6027\u601d\u8003\u8207\u672a\u4f86\u65b9\u5411<\/h2>\n<h3>\u8ad6\u984c\u7684\u5c40\u9650\u6027<\/h3>\n<p>\u4e00\u4e9b\u5b78\u8005\u5c0d\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u63d0\u51fa\u8cea\u7591\uff1a<\/p>\n<ul>\n<li><strong>\u8d85\u905e\u6b78\u7406\u8ad6<\/strong>\uff1a\u67d0\u4e9b\u6578\u5b78\u6a21\u578b\uff08\u5982\u7121\u9650\u6642\u9593\u5716\u9748\u6a5f\uff09\u53ef\u4ee5\u8a08\u7b97\u66f4\u591a\u51fd\u6578<\/li>\n<li><strong>\u7269\u7406\u5be6\u73fe\u554f\u984c<\/strong>\uff1a\u5716\u9748\u6a5f\u5047\u8a2d\u7121\u9650\u5b58\u5132\uff0c\u4f46\u5be6\u969b\u8a08\u7b97\u6a5f\u662f\u6709\u9650\u7684<\/li>\n<li><strong>\u6a21\u64ec\u8207\u5be6\u73fe\u7684\u5340\u5225<\/strong>\uff1a\u5716\u9748\u6a5f\u80fd\u6a21\u64ec\u4eba\u8166\uff0c\u4e0d\u4ee3\u8868\u4eba\u8166\u5c31\u662f\u5716\u9748\u6a5f<\/li>\n<\/ul>\n<h3>\u958b\u653e\u554f\u984c<\/h3>\n<ul>\n<li>\u5b87\u5b99\u662f\u5426\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\uff1f<\/li>\n<li>\u91cf\u5b50\u5f15\u529b\u6548\u61c9\u662f\u5426\u6703\u7522\u751f\u8d85\u5716\u9748\u8a08\u7b97\uff1f<\/li>\n<li>\u610f\u8b58\u662f\u5426\u6d89\u53ca\u4e0d\u53ef\u8a08\u7b97\u7684\u904e\u7a0b\uff1f<\/li>\n<\/ul>\n<h2>Conclusion<\/h2>\n<p>\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u662f20\u4e16\u7d00\u6700\u91cd\u8981\u7684\u79d1\u5b78\u601d\u60f3\u4e4b\u4e00\u3002\u5b83\u4e0d\u50c5\u56de\u7b54\u4e86\u5e0c\u723e\u4f2f\u7279\u7684\u5224\u5b9a\u554f\u984c\uff0c\u66f4\u70ba\u6574\u500b\u8a08\u7b97\u6a5f\u79d1\u5b78\u63d0\u4f9b\u4e86\u6982\u5ff5\u57fa\u790e\u3002\u96d6\u7136\u7121\u6cd5\u88ab\u8b49\u660e\uff0c\u9019\u500b\u8ad6\u984c\u7d93\u53d7\u4e86\u8fd1\u4e00\u500b\u4e16\u7d00\u7684\u6aa2\u9a57\uff0c\u6c92\u6709\u4efb\u4f55\u53cd\u4f8b\u88ab\u767c\u73fe\u3002<\/p>\n<p>\u5716\u9748\u548c\u90b1\u5947\u7684\u5de5\u4f5c\u544a\u8a34\u6211\u5011\uff1a<strong>\u8a08\u7b97\u6709\u5176\u6975\u9650\uff0c\u4f46\u9019\u500b\u6975\u9650\u662f\u666e\u904d\u7684<\/strong>\u3002\u7121\u8ad6\u4f7f\u7528\u4f55\u7a2e\u8a08\u7b97\u6a21\u578b\u2014\u2014\u6a5f\u68b0\u7684\u5716\u9748\u6a5f\u3001\u62bd\u8c61\u7684\u03bb-\u6f14\u7b97\uff0c\u9084\u662f\u73fe\u4ee3\u7684\u8d85\u7d1a\u8a08\u7b97\u6a5f\u2014\u2014\u90fd\u7121\u6cd5\u8d85\u8d8a\u9019\u500b\u6975\u9650\u3002<\/p>\n<p>\u5728\u4eba\u5de5\u667a\u80fd\u548c\u91cf\u5b50\u8a08\u7b97\u7684\u6642\u4ee3\uff0c\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u4f9d\u7136\u662f\u6211\u5011\u7406\u89e3\u8a08\u7b97\u672c\u8cea\u7684\u6307\u5357\u91dd\uff0c\u63d0\u9192\u6211\u5011\uff1a<strong>\u6280\u8853\u7684\u9032\u6b65\u96d6\u7136\u4ee4\u4eba\u9a5a\u5606\uff0c\u4f46\u8a08\u7b97\u7684\u57fa\u672c\u908a\u754c\u65e9\u57281936\u5e74\u5c31\u5df2\u88ab\u5283\u5b9a<\/strong>\u3002<\/p>\n<hr>\n<h2>\u89c0\u9ede\u57f9\u990a\u8a13\u7df4\u5340<\/h2>\n<p>\u4ee5\u4e0b\u554f\u984c\u5c07\u5e6b\u52a9\u4f60\u5f9e\u8cc7\u8a0a\u63a5\u6536\u8005\u8f49\u8b8a\u70ba\u7368\u7acb\u601d\u8003\u8005\u3002\u5617\u8a66\u5beb\u4e0b\u4f60\u7684\u7b54\u6848\uff0c\u4e26\u900f\u904e <a href=\"https:\/\/t.me\/your_bot\">Telegram \u5c0d\u8a71<\/a> \u7372\u5f97\u9032\u4e00\u6b65\u5f15\u5c0e\u3002<\/p>\n<h3>\u7b2c\u4e00\u5c64\uff1a\u7406\u89e3\u8207\u5206\u6790<\/h3>\n<ol>\n<li>\n<p><strong>\u6838\u5fc3\u8b70\u984c\u7406\u89e3<\/strong>\uff1a\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u70ba\u4ec0\u9ebc\u662f\u300c\u8ad6\u984c\u300d\u800c\u975e\u300c\u5b9a\u7406\u300d\uff1f\u9019\u500b\u5340\u5225\u5728\u79d1\u5b78\u65b9\u6cd5\u8ad6\u4e0a\u610f\u5473\u8457\u4ec0\u9ebc\uff1f<\/p>\n<\/li>\n<li>\n<p><strong>\u6bd4\u8f03\u4e0d\u540c\u7acb\u5834<\/strong>\uff1a\u90b1\u5947\u4f7f\u7528\u03bb-\u6f14\u7b97\uff0c\u5716\u9748\u4f7f\u7528\u6a5f\u68b0\u6a21\u578b\uff0c\u5169\u8005\u7684\u54f2\u5b78\u9810\u8a2d\u6709\u4f55\u4e0d\u540c\uff1f\u9019\u53cd\u6620\u4e86\u6578\u5b78\u8207\u5de5\u7a0b\u601d\u7dad\u7684\u4ec0\u9ebc\u5dee\u7570\uff1f<\/p>\n<\/li>\n<li>\n<p><strong>\u8ad6\u8b49\u6f0f\u6d1e<\/strong>\uff1a\u6587\u7ae0\u63d0\u5230\u300c\u6240\u6709\u88ab\u8a8d\u70ba\u53ef\u8a08\u7b97\u7684\u51fd\u6578\u90fd\u88ab\u8b49\u660e\u662f\u5716\u9748\u53ef\u8a08\u7b97\u7684\u300d\u3002\u9019\u500b\u6b78\u7d0d\u8ad6\u8b49\u7684\u5f31\u9ede\u5728\u54ea\u88e1\uff1f<\/p>\n<\/li>\n<\/ol>\n<h3>\u7b2c\u4e8c\u5c64\uff1a\u9023\u7d50\u8207\u61c9\u7528<\/h3>\n<ol start=\"4\">\n<li>\n<p><strong>\u9023\u7d50\u500b\u4eba\u7d93\u9a57<\/strong>\uff1a\u56de\u60f3\u4f60\u5beb\u904e\u7684\u7a0b\u5e8f\u6216\u4f7f\u7528\u904e\u7684\u7b97\u6cd5\u3002\u6709\u6c92\u6709\u9047\u904e\u300c\u7406\u8ad6\u4e0a\u53ef\u89e3\uff0c\u4f46\u5be6\u969b\u4e0a\u7121\u6cd5\u8a08\u7b97\u300d\u7684\u554f\u984c\uff1f\u9019\u8207\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u6709\u4f55\u95dc\u806f\uff1f<\/p>\n<\/li>\n<li>\n<p><strong>\u61c9\u7528\u5230\u5177\u9ad4\u60c5\u5883<\/strong>\uff1a\u5047\u8a2d\u4f60\u8981\u8a2d\u8a08\u4e00\u500b\u300c\u81ea\u52d5\u5224\u65b7\u7a0b\u5f0f\u78bc\u6b63\u78ba\u6027\u300d\u7684\u5de5\u5177\u3002\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u6703\u5982\u4f55\u9650\u5236\u9019\u500b\u5de5\u5177\u7684\u80fd\u529b\uff1f<\/p>\n<\/li>\n<\/ol>\n<h3>\u7b2c\u4e09\u5c64\uff1a\u8a55\u4f30\u8207\u5275\u9020<\/h3>\n<ol start=\"6\">\n<li>\n<p><strong>\u50f9\u503c\u5224\u65b7<\/strong>\uff1a\u6709\u4eba\u8a8d\u70ba\u300c\u8a08\u7b97\u7684\u6975\u9650\u300d\u8b49\u660e\u4e86\u4eba\u985e\u667a\u80fd\u7684\u7368\u7279\u6027\uff0c\u4e5f\u6709\u4eba\u8a8d\u70ba\u9019\u53ea\u662f\u6280\u8853\u7684\u66ab\u6642\u969c\u7919\u3002\u4f60\u7ad9\u5728\u54ea\u4e00\u908a\uff1f\u70ba\u4ec0\u9ebc\uff1f<\/p>\n<\/li>\n<li>\n<p><strong>\u63d0\u51fa\u65b0\u89c0\u9ede<\/strong>\uff1a\u5047\u8a2d\u672a\u4f86\u767c\u73fe\u4e86\u4e00\u500b\u300c\u5716\u9748\u6a5f\u7121\u6cd5\u8a08\u7b97\u4f46\u7269\u7406\u4e0a\u53ef\u5be6\u73fe\u300d\u7684\u904e\u7a0b\u3002\u9019\u6703\u5c0d\u8a08\u7b97\u6a5f\u79d1\u5b78\u7522\u751f\u4ec0\u9ebc\u885d\u64ca\uff1f\u4f60\u6703\u5982\u4f55\u91cd\u65b0\u5b9a\u7fa9\u300c\u8a08\u7b97\u300d\uff1f<\/p>\n<\/li>\n<\/ol>\n<h3>PG \u5f0f\u601d\u8003\u63d0\u793a<\/h3>\n<p>Paul Graham \u53ef\u80fd\u6703\u9019\u6a23\u601d\u8003\u9019\u500b\u4e3b\u984c\uff1a<\/p>\n<blockquote>\n<p>\u300c\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u7684\u771f\u6b63\u50f9\u503c\u4e0d\u5728\u65bc\u5b83\u662f\u5426\u6b63\u78ba\uff0c\u800c\u5728\u65bc\u5b83\u903c\u8feb\u6211\u5011\u7cbe\u78ba\u5b9a\u7fa9&#8217;\u8a08\u7b97&#8217;\u3002\u5c31\u50cf\u5275\u696d\u4e2d\u7684 MVP\u2014\u2014\u4e0d\u662f\u8981\u505a\u5b8c\u7f8e\u7684\u7522\u54c1\uff0c\u800c\u662f\u8981\u627e\u5230\u554f\u984c\u7684\u6838\u5fc3\u3002\u5716\u9748\u6a5f\u5c31\u662f\u8a08\u7b97\u7684 MVP\uff0c\u7c21\u55ae\u5230\u7121\u6cd5\u518d\u7c21\u55ae\uff0c\u537b\u8db3\u4ee5\u6355\u6349\u8a08\u7b97\u7684\u672c\u8cea\u3002\u300d<\/p>\n<\/blockquote>\n<p><strong>\u884c\u52d5\u5efa\u8b70<\/strong>\uff1a\u9078\u64c7\u4e00\u500b\u554f\u984c\uff0c\u82b115\u5206\u9418\u5beb\u4e0b\u4f60\u7684\u60f3\u6cd5\u3002\u900f\u904e <a href=\"https:\/\/t.me\/your_bot\">Telegram \u6a5f\u5668\u4eba<\/a> \u5206\u4eab\u4f60\u7684\u7b54\u6848\uff0c\u7372\u5f97\u8607\u683c\u62c9\u5e95\u5f0f\u7684\u5c0d\u8a71\u5f15\u5c0e\uff0c\u6df1\u5316\u4f60\u7684\u89c0\u9ede\u3002<\/p>","protected":false},"excerpt":{"rendered":"<p>1936\u5e74\uff0c\u90b1\u5947\u548c\u5716\u9748\u5404\u81ea\u7368\u7acb\u5730\u63d0\u51fa\u4e86\u8a08\u7b97\u7684\u56b4\u683c\u6578\u5b78\u5b9a\u7fa9\u3002\u90b1\u5947-\u5716\u9748\u8ad6\u984c\u4e3b\u5f35\uff1a\u4efb\u4f55\u5728\u7b97\u6cd5\u4e0a\u53ef\u8a08\u7b97\u7684\u554f\u984c\uff0c\u90fd\u53ef\u4ee5\u7531\u5716\u9748\u6a5f\u4f86\u8a08\u7b97\u3002\u9019\u500b\u8ad6\u984c\u96d6\u7136\u7121\u6cd5\u88ab\u8b49\u660e\uff0c\u537b\u6210\u70ba\u8a08\u7b97\u7406\u8ad6\u7684\u57fa\u77f3\uff0c\u5b9a\u7fa9\u4e86\u8a08\u7b97\u6a5f\u80fd\u529b\u7684\u6975\u9650\u3002<\/p>","protected":false},"author":2,"featured_media":940,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[56],"tags":[74,61,59,73,72],"class_list":["post-941","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-56","tag-lambda-","tag-61","tag-59","tag-73","tag-72"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/posts\/941","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/comments?post=941"}],"version-history":[{"count":1,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/posts\/941\/revisions"}],"predecessor-version":[{"id":942,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/posts\/941\/revisions\/942"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/media\/940"}],"wp:attachment":[{"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/media?parent=941"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/categories?post=941"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learndeeplytw.com\/en\/wp-json\/wp\/v2\/tags?post=941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}