{"id":3057,"date":"2021-11-22T23:10:52","date_gmt":"2021-11-22T20:10:52","guid":{"rendered":"https:\/\/demensdeum.com\/blog\/?p=3057"},"modified":"2024-12-16T22:32:21","modified_gmt":"2024-12-16T19:32:21","slug":"alan-turing-machine-paper","status":"publish","type":"post","link":"https:\/\/demensdeum.com\/blog\/zh\/2021\/11\/22\/alan-turing-machine-paper\/","title":{"rendered":"\u56fe\u7075\u8ba1\u7b97\u673a"},"content":{"rendered":"<p>\u6211\u5411\u60a8\u5c55\u793a\u4e86\u827e\u4f26\u00b7\u56fe\u7075\u6587\u7ae0\u300a\u4e16\u754c\u300b\u7b2c\u4e00\u9875\u7684\u7ffb\u8bd1\u3002 \u201c\u5173\u4e8e\u53ef\u8ba1\u7b97\u6570\u5b57\u53ca\u5176\u89e3\u51b3\u95ee\u9898\u7684\u5e94\u7528\u201d 1936\u5e74\u3002\u7b2c\u4e00\u7ae0\u5305\u542b\u5bf9\u8ba1\u7b97\u673a\u7684\u63cf\u8ff0\uff0c\u540e\u6765\u6210\u4e3a\u73b0\u4ee3\u8ba1\u7b97\u7684\u57fa\u7840\u3002<\/p>\n<p>\u6587\u7ae0\u7684\u5168\u6587\u7ffb\u8bd1\u548c\u89e3\u91ca\u53ef\u4ee5\u5728\u7f8e\u56fd\u666e\u53ca\u8005\u67e5\u5c14\u65af\u00b7\u4f69\u63aa\u5c14\u5fb7\uff08Charles Petzold\uff09\u6240\u8457\u7684\u300a\u8bfb\u56fe\u7075\u300b\u4e00\u4e66\u4e2d\u9605\u8bfb\u3002\u6d4f\u89c8\u56fe\u7075\u5173\u4e8e\u53ef\u8ba1\u7b97\u6027\u548c\u56fe\u7075\u673a\u7684\u91cc\u7a0b\u7891\u5f0f\u8bba\u6587\u2014\u2014 \uff08ISBN 978-5-97060-231-7\u3001978-0-470-22905-7\uff09<\/p>\n<p>\u539f\u6587\uff1a<br \/><a href=\"https:\/\/www.astro.puc.cl\/~rparra\/tools\/PAPERS\/turing_1936.pdf\" rel=\"noopener\" target=\"_blank\">https:\/\/www.astro.puc.cl\/~rparra\/tools\/PAPERS\/turing_1936.pdf<\/a><\/p>\n<p>&#8212;<\/p>\n<p>\u5173\u4e8e\u5e94\u7528\u4e8e\u89e3\u51b3\u95ee\u9898\u7684\u53ef\u8ba1\u7b97\u6570\u5b57<\/p>\n<p>A. M\u00b7\u56fe\u7075<\/p>\n<p>[1936 \u5e74 5 \u6708 28 \u65e5\u6536\u5230 &#8211; 1936 \u5e74 11 \u6708 12 \u65e5\u9605\u8bfb]<\/p>\n<p>\u53ef\u8ba1\u7b97\u6570\u53ef\u4ee5\u7b80\u5355\u5730\u63cf\u8ff0\u4e3a\u5b9e\u6570\uff0c\u5176\u5c0f\u6570\u5f62\u5f0f\u7684\u8868\u8fbe\u5f0f\u53ef\u4ee5\u901a\u8fc7\u6709\u9650\u591a\u79cd\u65b9\u5f0f\u8ba1\u7b97\u3002\u5c3d\u7ba1\u4e4d\u4e00\u770b\u672c\u6587\u5c06\u6570\u5b57\u89c6\u4e3a\u53ef\u8ba1\u7b97\u7684\uff0c\u4f46\u5b9a\u4e49\u548c\u63a2\u7d22\u6574\u6570\u53d8\u91cf\u3001\u5b9e\u6570\u53d8\u91cf\u3001\u53ef\u8ba1\u7b97\u53d8\u91cf\u3001\u53ef\u8ba1\u7b97\u8c13\u8bcd\u7b49\u7684\u53ef\u8ba1\u7b97\u51fd\u6570\u51e0\u4e4e\u540c\u6837\u5bb9\u6613\u3002\u7136\u800c\uff0c\u4e0e\u8fd9\u4e9b\u53ef\u8ba1\u7b97\u5bf9\u8c61\u76f8\u5173\u7684\u57fa\u672c\u95ee\u9898\u5728\u6bcf\u79cd\u60c5\u51b5\u4e0b\u90fd\u662f\u76f8\u540c\u7684\u3002\u4e3a\u4e86\u8be6\u7ec6\u8003\u8651\uff0c\u6211\u9009\u62e9\u53ef\u8ba1\u7b97\u6570\u5b57\u4f5c\u4e3a\u53ef\u8ba1\u7b97\u5bf9\u8c61\uff0c\u56e0\u4e3a\u8003\u8651\u5b83\u4eec\u7684\u65b9\u6cd5\u662f\u6700\u4e0d\u9ebb\u70e6\u7684\u3002\u6211\u5e0c\u671b\u5c3d\u5feb\u63cf\u8ff0\u53ef\u8ba1\u7b97\u6570\u4e0e\u53ef\u8ba1\u7b97\u51fd\u6570\u7684\u5173\u7cfb\u7b49\u7b49\u3002\u540c\u65f6\uff0c\u5c06\u5728\u4ee5\u53ef\u8ba1\u7b97\u6570\u8868\u793a\u7684\u5b9e\u53d8\u91cf\u51fd\u6570\u7406\u8bba\u9886\u57df\u8fdb\u884c\u7814\u7a76\u3002\u6839\u636e\u6211\u7684\u5b9a\u4e49\uff0c\u5982\u679c\u673a\u5668\u53ef\u4ee5\u5199\u51fa\u5c0f\u6570\u5f62\u5f0f\u7684\u5b9e\u6570\uff0c\u90a3\u4e48\u8be5\u5b9e\u6570\u5c31\u662f\u53ef\u8ba1\u7b97\u7684\u3002<\/p>\n<p>\u5728\u7b2c 9 \u6bb5\u548c\u7b2c 10 \u6bb5\u4e2d\uff0c\u6211\u7ed9\u51fa\u4e86\u4e00\u4e9b\u8bba\u636e\u6765\u8868\u660e\u53ef\u8ba1\u7b97\u6570\u5305\u62ec\u6240\u6709\u81ea\u7136\u88ab\u8ba4\u4e3a\u662f\u53ef\u8ba1\u7b97\u7684\u6570\u3002\u7279\u522b\u662f\uff0c\u6211\u8bc1\u660e\u4e86\u4e00\u4e9b\u5927\u7c7b\u6570\u5b57\u662f\u53ef\u8ba1\u7b97\u7684\u3002\u4f8b\u5982\uff0c\u5b83\u4eec\u5305\u62ec\u6240\u6709\u4ee3\u6570\u6570\u7684\u5b9e\u90e8\u3001\u8d1d\u585e\u5c14\u51fd\u6570\u96f6\u70b9\u7684\u5b9e\u90e8\u3001\u6570\u5b57 \u03c0\u3001e \u7b49\u3002\u4f46\u662f\uff0c\u53ef\u8ba1\u7b97\u6570\u5e76\u4e0d\u5305\u62ec\u6240\u6709\u53ef\u5b9a\u4e49\u6570\uff0c\u5982\u4ee5\u4e0b\u4e0d\u53ef\u8ba1\u7b97\u7684\u53ef\u5b9a\u4e49\u6570\u793a\u4f8b\u6240\u793a\u3002<\/p>\n<p>\u5c3d\u7ba1\u53ef\u8ba1\u7b97\u6570\u7684\u7c7b\u522b\u975e\u5e38\u5927\uff0c\u5e76\u4e14\u5728\u8bb8\u591a\u65b9\u9762\u4e0e\u5b9e\u6570\u7684\u7c7b\u522b\u76f8\u4f3c\uff0c\u4f46\u5b83\u4ecd\u7136\u662f\u53ef\u679a\u4e3e\u7684\u3002\u5728\u7b2c 8 \u8282\u4e2d\uff0c\u6211\u8003\u8651\u4e86\u67d0\u4e9b\u770b\u4f3c\u76f8\u53cd\u7684\u8bba\u70b9\u3002\u5f53\u5176\u4e2d\u4e00\u4e2a\u8bba\u8bc1\u5f97\u5230\u6b63\u786e\u5e94\u7528\u65f6\uff0c\u4e4d\u4e00\u770b\uff0c\u5f97\u51fa\u7684\u7ed3\u8bba\u4e0e\u54e5\u5fb7\u5c14*\u7684\u7ed3\u8bba\u76f8\u4f3c\u3002\u8fd9\u4e9b\u7ed3\u679c\u5177\u6709\u6781\u5176\u91cd\u8981\u7684\u5e94\u7528\u3002\u7279\u522b\u662f\u5982\u4e0b\u56fe\uff08\u00a711\uff09\u6240\u793a\uff0c\u5206\u8fa8\u7387\u95ee\u9898\u65e0\u6cd5\u89e3\u51b3\u3002<\/p>\n<p>Alonzo Church**\u5728\u4ed6\u6700\u8fd1\u7684\u6587\u7ae0\u4e2d\u4ecb\u7ecd\u4e86\u201c\u6709\u6548\u53ef\u8ba1\u7b97\u6027\u201d\u7684\u60f3\u6cd5\uff0c\u8fd9\u4e0e\u6211\u7684\u201c\u53ef\u8ba1\u7b97\u6027\u201d\u7684\u60f3\u6cd5\u76f8\u5f53\uff0c\u4f46\u5b9a\u4e49\u5b8c\u5168\u4e0d\u540c\u3002\u5173\u4e8e\u89e3\u51b3\u95ee\u9898\uff0c\u4e18\u5947\u4e5f\u5f97\u51fa\u4e86\u7c7b\u4f3c\u7684\u7ed3\u8bba\u3002\u672c\u6587\u9644\u5f55\u4e2d\u7ed9\u51fa\u4e86\u201c\u53ef\u8ba1\u7b97\u6027\u201d\u548c\u201c\u6709\u6548\u8ba1\u7b97\u80fd\u529b\u201d\u7b49\u4ef7\u6027\u7684\u8bc1\u660e\u3002<\/p>\n<p>1.\u8ba1\u7b97\u673a<\/p>\n<p>\u6211\u4eec\u5df2\u7ecf\u8bf4\u8fc7\uff0c\u53ef\u8ba1\u7b97\u6570\u662f\u90a3\u4e9b\u5c0f\u6570\u4f4d\u6570\u53ef\u4ee5\u901a\u8fc7\u6709\u9650\u65b9\u5f0f\u8ba1\u7b97\u7684\u6570\u3002\u8fd9\u91cc\u9700\u8981\u4e00\u4e2a\u66f4\u6e05\u6670\u7684\u5b9a\u4e49\u3002\u5728\u6211\u4eec\u5230\u8fbe\u7b2c 9 \u8282\u4e4b\u524d\uff0c\u672c\u6587\u4e0d\u4f1a\u771f\u6b63\u5c1d\u8bd5\u8bc1\u660e\u6b64\u5904\u7ed9\u51fa\u7684\u5b9a\u4e49\u7684\u5408\u7406\u6027\u3002\u73b0\u5728\uff0c\u6211\u53ea\u60f3\u6307\u51fa\uff08\u8fd9\u6837\u505a\u7684\uff09\uff08\u903b\u8f91\uff09\u57fa\u672c\u539f\u7406\u662f\u4eba\u7c7b\u7684\u8bb0\u5fc6\u5fc5\u7136\u662f\u6709\u9650\u7684\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u5c06\u8ba1\u7b97\u5b9e\u6570\u7684\u8fc7\u7a0b\u4e2d\u7684\u4eba\u4e0e\u53ea\u80fd\u6ee1\u8db3\u6709\u9650\u6570\u91cf\u7684\u6761\u4ef6 q1, q2, &#8230;, qR; \u7684\u673a\u5668\u8fdb\u884c\u6bd4\u8f83\u3002\u6211\u4eec\u5c06\u8fd9\u4e9b\u6761\u4ef6\u79f0\u4e3a\u201cm \u914d\u7f6e\u201d\u3002\u8fd9\u53f0\uff08\u5373\u5982\u6b64\u5b9a\u4e49\u7684\uff09\u673a\u5668\u914d\u5907\u6709\u201c\u80f6\u5e26\u201d\uff08\u7c7b\u4f3c\u4e8e\u7eb8\uff09\u3002\u7a7f\u8fc7\u673a\u5668\u7684\u76ae\u5e26\u88ab\u5206\u6210\u51e0\u6bb5\u3002\u6211\u4eec\u79f0\u5b83\u4eec\u4e3a\u201c\u6b63\u65b9\u5f62\u201d\u3002\u6bcf\u4e2a\u8fd9\u6837\u7684\u65b9\u5757\u90fd\u53ef\u4ee5\u5305\u542b\u67d0\u79cd\u201c\u7b26\u53f7\u201d\u3002\u5728\u4efb\u4f55\u65f6\u523b\uff0c\u53ea\u6709\u4e00\u4e2a\u8fd9\u6837\u7684\u6b63\u65b9\u5f62\uff0c\u6bd4\u5982\u7b2c r \u4e2a\uff0c\u5305\u542b\u201c\u5728\u8fd9\u53f0\u673a\u5668\u4e2d\u201d\u7684\u7b26\u53f7\u3002\u6211\u4eec\u5c06\u8fd9\u6837\u7684\u6b63\u65b9\u5f62\u79f0\u4e3a\u201c\u626b\u63cf\u7b26\u53f7\u201d\u3002\u53ef\u4ee5\u8bf4\uff0c\u201c\u626b\u63cf\u5b57\u7b26\u201d\u662f\u673a\u5668\u201c\u76f4\u63a5\u611f\u77e5\u201d\u7684\u552f\u4e00\u5b57\u7b26\u3002\u7136\u800c\uff0c\u901a\u8fc7\u6539\u53d8\u5b83\u7684 m \u914d\u7f6e\uff0c\u673a\u5668\u53ef\u4ee5\u6709\u6548\u5730\u8bb0\u4f4f\u5b83\u4e4b\u524d\u201c\u770b\u5230\u201d\uff08\u626b\u63cf\u8fc7\uff09\u7684\u4e00\u4e9b\u5b57\u7b26\u3002\u673a\u5668\u5728\u4efb\u4f55\u65f6\u523b\u53ef\u80fd\u7684\u884c\u4e3a\u7531 m \u914d\u7f6e qn \u548c\u626b\u63cf\u7684\u7b26\u53f7***\u51b3\u5b9a\u3002\u6211\u4eec\u5c06\u8fd9\u5bf9\u7b26\u53f7\u79f0\u4e3a qn\uff0c\u201c\u914d\u7f6e\u201d\u3002\u7531\u6b64\u6307\u5b9a\u7684\u914d\u7f6e\u51b3\u5b9a\u4e86\u7ed9\u5b9a\u673a\u5668\u7684\u53ef\u80fd\u884c\u4e3a\u3002\u5728\u5176\u4e2d\u6240\u626b\u63cf\u7684\u65b9\u5757\u662f\u7a7a\u767d\u7684\uff08\u5373\uff0c\u4e0d\u5305\u542b\u5b57\u7b26\uff09\u7684\u4e00\u4e9b\u914d\u7f6e\u4e2d\uff0c\u673a\u5668\u5728\u6240\u626b\u63cf\u7684\u65b9\u5757\u4e0a\u5199\u5165\u65b0\u5b57\u7b26\uff0c\u800c\u5728\u8fd9\u4e9b\u914d\u7f6e\u4e2d\u7684\u5176\u4ed6\u914d\u7f6e\u4e2d\uff0c\u673a\u5668\u64e6\u9664\u6240\u626b\u63cf\u7684\u5b57\u7b26\u3002\u8fd9\u53f0\u673a\u5668\u4e5f\u80fd\u591f\u79fb\u52a8\u6765\u626b\u63cf\u53e6\u4e00\u4e2a\u65b9\u683c\uff0c\u4f46\u8fd9\u6837\u5b83\u53ea\u80fd\u79fb\u52a8\u5230\u53f3\u4fa7\u6216\u5de6\u4fa7\u7684\u76f8\u90bb\u65b9\u683c\u3002\u9664\u4e86\u8fd9\u4e9b\u64cd\u4f5c\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5\u66f4\u6539\u673a\u5668\u7684 m \u914d\u7f6e\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e00\u4e9b\u5199\u5165\u7684\u5b57\u7b26\u5c06\u5f62\u6210\u4e00\u4e2a\u6570\u5b57\u5e8f\u5217\uff0c\u8fd9\u662f\u6b63\u5728\u8ba1\u7b97\u7684\u5b9e\u6570\u7684\u5c0f\u6570\u90e8\u5206\u3002\u5176\u4f59\u7684\u65e0\u975e\u662f\u4e3a\u4e86\u201c\u5e2e\u52a9\u8bb0\u5fc6\u201d\u800c\u505a\u7684\u4e0d\u51c6\u786e\u7684\u6807\u8bb0\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u53ea\u80fd\u64e6\u9664\u4e0a\u8ff0\u4e0d\u51c6\u786e\u7684\u6807\u8bb0\u3002<\/p>\n<p>\u6211\u58f0\u79f0\u8fd9\u91cc\u8003\u8651\u7684\u64cd\u4f5c\u5305\u62ec\u6240\u6709\u8ba1\u7b97\u4e2d\u4f7f\u7528\u7684\u64cd\u4f5c\u3002\u5bf9\u4e8e\u4e86\u89e3\u673a\u5668\u7406\u8bba\u7684\u8bfb\u8005\u6765\u8bf4\uff0c\u8fd9\u79cd\u8bf4\u6cd5\u7684\u57fa\u672c\u539f\u7406\u66f4\u5bb9\u6613\u7406\u89e3\u3002\u56e0\u6b64\uff0c\u5728\u4e0b\u4e00\u8282\u4e2d\uff0c\u6211\u5c06\u5728\u7406\u89e3\u201c\u673a\u5668\u201d\u3001\u201c\u78c1\u5e26\u201d\u3001\u201c\u626b\u63cf\u201d\u7b49\u672f\u8bed\u7684\u57fa\u7840\u4e0a\u7ee7\u7eed\u53d1\u5c55\u76f8\u5173\u7406\u8bba\u3002<br \/><strong><br \/>*\u54e5\u5fb7\u5c14\u201c\u8bba\u6570\u5b66\u539f\u7406\u4e2d\u7684\u5f62\u5f0f\u4e0a\u4e0d\u53ef\u5224\u5b9a\u7684\u53e5\u5b50\uff08\u7531\u6000\u7279\u6d77\u548c\u7f57\u7d20\u4e8e 1910 \u5e74\u30011912 \u5e74\u548c 1913 \u5e74\u51fa\u7248\uff09\u548c\u76f8\u5173\u7cfb\u7edf\uff0c\u7b2c\u4e00\u90e8\u5206\u201d\uff0c\u300a\u6570\u5b66\u6742\u5fd7\u300b\u3002\u7269\u7406\u5b66\uff0c\u5fb7\u6587\u6708\u520a\u7b2c 38 \u671f\uff081931 \u5e74\uff0c\u7b2c 173-198 \u9875\u3002<br \/>** Alonzo Church\uff0c\u201c\u521d\u7b49\u6570\u8bba\u4e2d\u7684\u4e00\u4e2a\u4e0d\u53ef\u5224\u5b9a\u95ee\u9898\u201d\uff0cAmerican J. of Math.\uff0c\u7b2c 58 \u671f (1936)\uff0c\u7b2c 345-363 \u9875\u3002<br \/>*** Alonzo Church\uff0c\u201c\u5173\u4e8e\u89e3\u51b3\u95ee\u9898\u7684\u6ce8\u91ca\u201d\uff0cJ. of Symbolic Logic\uff0c\u7b2c 1 \u671f\uff081936 \u5e74\uff09\uff0c\u7b2c 40-41 \u9875<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u5411\u60a8\u5c55\u793a\u4e86\u827e\u4f26\u00b7\u56fe\u7075\u6587\u7ae0\u300a\u4e16\u754c\u300b\u7b2c\u4e00\u9875\u7684\u7ffb\u8bd1\u3002 \u201c\u5173\u4e8e\u53ef\u8ba1\u7b97\u6570\u5b57\u53ca\u5176\u89e3\u51b3\u95ee\u9898\u7684\u5e94\u7528\u201d 1936\u5e74\u3002\u7b2c\u4e00\u7ae0\u5305\u542b\u5bf9\u8ba1\u7b97\u673a\u7684\u63cf\u8ff0\uff0c\u540e\u6765\u6210\u4e3a\u73b0\u4ee3\u8ba1\u7b97\u7684\u57fa\u7840\u3002 \u6587\u7ae0\u7684\u5168\u6587\u7ffb\u8bd1\u548c\u89e3\u91ca\u53ef\u4ee5\u5728\u7f8e\u56fd\u666e\u53ca\u8005\u67e5\u5c14\u65af\u00b7\u4f69\u63aa\u5c14\u5fb7\uff08Charles Petzold\uff09\u6240\u8457\u7684\u300a\u8bfb\u56fe\u7075\u300b\u4e00\u4e66\u4e2d\u9605\u8bfb\u3002\u6d4f\u89c8\u56fe\u7075\u5173\u4e8e\u53ef\u8ba1\u7b97\u6027\u548c\u56fe\u7075\u673a\u7684\u91cc\u7a0b\u7891\u5f0f\u8bba\u6587\u2014\u2014 \uff08ISBN 978-5-97060-231-7\u3001978-0-470-22905-7\uff09 \u539f\u6587\uff1ahttps:\/\/www.astro.puc.cl\/~rparra\/tools\/PAPERS\/turing_1936.pdf &#8212; \u5173\u4e8e\u5e94\u7528\u4e8e\u89e3\u51b3\u95ee\u9898\u7684\u53ef\u8ba1\u7b97\u6570\u5b57 A. M\u00b7\u56fe\u7075 [1936 \u5e74 5 \u6708 28 \u65e5\u6536\u5230 &#8211; 1936 \u5e74 11 \u6708 12 \u65e5\u9605\u8bfb] \u53ef\u8ba1\u7b97\u6570\u53ef\u4ee5\u7b80\u5355\u5730\u63cf\u8ff0\u4e3a\u5b9e\u6570\uff0c\u5176\u5c0f\u6570\u5f62\u5f0f\u7684\u8868\u8fbe\u5f0f\u53ef\u4ee5\u901a\u8fc7\u6709\u9650\u591a\u79cd\u65b9\u5f0f\u8ba1\u7b97\u3002\u5c3d\u7ba1\u4e4d\u4e00\u770b\u672c\u6587\u5c06\u6570\u5b57\u89c6\u4e3a\u53ef\u8ba1\u7b97\u7684\uff0c\u4f46\u5b9a\u4e49\u548c\u63a2\u7d22\u6574\u6570\u53d8\u91cf\u3001\u5b9e\u6570\u53d8\u91cf\u3001\u53ef\u8ba1\u7b97\u53d8\u91cf\u3001\u53ef\u8ba1\u7b97\u8c13\u8bcd\u7b49\u7684\u53ef\u8ba1\u7b97\u51fd\u6570\u51e0\u4e4e\u540c\u6837\u5bb9\u6613\u3002\u7136\u800c\uff0c\u4e0e\u8fd9\u4e9b\u53ef\u8ba1\u7b97\u5bf9\u8c61\u76f8\u5173\u7684\u57fa\u672c\u95ee\u9898\u5728\u6bcf\u79cd\u60c5\u51b5\u4e0b\u90fd\u662f\u76f8\u540c\u7684\u3002\u4e3a\u4e86\u8be6\u7ec6\u8003\u8651\uff0c\u6211\u9009\u62e9\u53ef\u8ba1\u7b97\u6570\u5b57\u4f5c\u4e3a\u53ef\u8ba1\u7b97\u5bf9\u8c61\uff0c\u56e0\u4e3a\u8003\u8651\u5b83\u4eec\u7684\u65b9\u6cd5\u662f\u6700\u4e0d\u9ebb\u70e6\u7684\u3002\u6211\u5e0c\u671b\u5c3d\u5feb\u63cf\u8ff0\u53ef\u8ba1\u7b97\u6570\u4e0e\u53ef\u8ba1\u7b97\u51fd\u6570\u7684\u5173\u7cfb\u7b49\u7b49\u3002\u540c\u65f6\uff0c\u5c06\u5728\u4ee5\u53ef\u8ba1\u7b97\u6570\u8868\u793a\u7684\u5b9e\u53d8\u91cf\u51fd\u6570\u7406\u8bba\u9886\u57df\u8fdb\u884c\u7814\u7a76\u3002\u6839\u636e\u6211\u7684\u5b9a\u4e49\uff0c\u5982\u679c\u673a\u5668\u53ef\u4ee5\u5199\u51fa\u5c0f\u6570\u5f62\u5f0f\u7684\u5b9e\u6570\uff0c\u90a3\u4e48\u8be5\u5b9e\u6570\u5c31\u662f\u53ef\u8ba1\u7b97\u7684\u3002 \u5728\u7b2c 9 \u6bb5\u548c\u7b2c 10 \u6bb5\u4e2d\uff0c\u6211\u7ed9\u51fa\u4e86\u4e00\u4e9b\u8bba\u636e\u6765\u8868\u660e\u53ef\u8ba1\u7b97\u6570\u5305\u62ec\u6240\u6709\u81ea\u7136\u88ab\u8ba4\u4e3a\u662f\u53ef\u8ba1\u7b97\u7684\u6570\u3002\u7279\u522b\u662f\uff0c\u6211\u8bc1\u660e\u4e86\u4e00\u4e9b\u5927\u7c7b\u6570\u5b57\u662f\u53ef\u8ba1\u7b97\u7684\u3002\u4f8b\u5982\uff0c\u5b83\u4eec\u5305\u62ec\u6240\u6709\u4ee3\u6570\u6570\u7684\u5b9e\u90e8\u3001\u8d1d\u585e\u5c14\u51fd\u6570\u96f6\u70b9\u7684\u5b9e\u90e8\u3001\u6570\u5b57 \u03c0\u3001e \u7b49\u3002\u4f46\u662f\uff0c\u53ef\u8ba1\u7b97\u6570\u5e76\u4e0d\u5305\u62ec\u6240\u6709\u53ef\u5b9a\u4e49\u6570\uff0c\u5982\u4ee5\u4e0b\u4e0d\u53ef\u8ba1\u7b97\u7684\u53ef\u5b9a\u4e49\u6570\u793a\u4f8b\u6240\u793a\u3002 \u5c3d\u7ba1\u53ef\u8ba1\u7b97\u6570\u7684\u7c7b\u522b\u975e\u5e38\u5927\uff0c\u5e76\u4e14\u5728\u8bb8\u591a\u65b9\u9762\u4e0e\u5b9e\u6570\u7684\u7c7b\u522b\u76f8\u4f3c\uff0c\u4f46\u5b83\u4ecd\u7136\u662f\u53ef\u679a\u4e3e\u7684\u3002\u5728\u7b2c 8 \u8282\u4e2d\uff0c\u6211\u8003\u8651\u4e86\u67d0\u4e9b\u770b\u4f3c\u76f8\u53cd\u7684\u8bba\u70b9\u3002\u5f53\u5176\u4e2d\u4e00\u4e2a\u8bba\u8bc1\u5f97\u5230\u6b63\u786e\u5e94\u7528\u65f6\uff0c\u4e4d\u4e00\u770b\uff0c\u5f97\u51fa\u7684\u7ed3\u8bba\u4e0e\u54e5\u5fb7\u5c14*\u7684\u7ed3\u8bba\u76f8\u4f3c\u3002\u8fd9\u4e9b\u7ed3\u679c\u5177\u6709\u6781\u5176\u91cd\u8981\u7684\u5e94\u7528\u3002\u7279\u522b\u662f\u5982\u4e0b\u56fe\uff08\u00a711\uff09\u6240\u793a\uff0c\u5206\u8fa8\u7387\u95ee\u9898\u65e0\u6cd5\u89e3\u51b3\u3002 Alonzo Church**\u5728\u4ed6\u6700\u8fd1\u7684\u6587\u7ae0\u4e2d\u4ecb\u7ecd\u4e86\u201c\u6709\u6548\u53ef\u8ba1\u7b97\u6027\u201d\u7684\u60f3\u6cd5\uff0c\u8fd9\u4e0e\u6211\u7684\u201c\u53ef\u8ba1\u7b97\u6027\u201d\u7684\u60f3\u6cd5\u76f8\u5f53\uff0c\u4f46\u5b9a\u4e49\u5b8c\u5168\u4e0d\u540c\u3002\u5173\u4e8e\u89e3\u51b3\u95ee\u9898\uff0c\u4e18\u5947\u4e5f\u5f97\u51fa\u4e86\u7c7b\u4f3c\u7684\u7ed3\u8bba\u3002\u672c\u6587\u9644\u5f55\u4e2d\u7ed9\u51fa\u4e86\u201c\u53ef\u8ba1\u7b97\u6027\u201d\u548c\u201c\u6709\u6548\u8ba1\u7b97\u80fd\u529b\u201d\u7b49\u4ef7\u6027\u7684\u8bc1\u660e\u3002 1.\u8ba1\u7b97\u673a \u6211\u4eec\u5df2\u7ecf\u8bf4\u8fc7\uff0c\u53ef\u8ba1\u7b97\u6570\u662f\u90a3\u4e9b\u5c0f\u6570\u4f4d\u6570\u53ef\u4ee5\u901a\u8fc7\u6709\u9650\u65b9\u5f0f\u8ba1\u7b97\u7684\u6570\u3002\u8fd9\u91cc\u9700\u8981\u4e00\u4e2a\u66f4\u6e05\u6670\u7684\u5b9a\u4e49\u3002\u5728\u6211\u4eec\u5230\u8fbe\u7b2c 9 \u8282\u4e4b\u524d\uff0c\u672c\u6587\u4e0d\u4f1a\u771f\u6b63\u5c1d\u8bd5\u8bc1\u660e\u6b64\u5904\u7ed9\u51fa\u7684\u5b9a\u4e49\u7684\u5408\u7406\u6027\u3002\u73b0\u5728\uff0c\u6211\u53ea\u60f3\u6307\u51fa\uff08\u8fd9\u6837\u505a\u7684\uff09\uff08\u903b\u8f91\uff09\u57fa\u672c\u539f\u7406\u662f\u4eba\u7c7b\u7684\u8bb0\u5fc6\u5fc5\u7136\u662f\u6709\u9650\u7684\u3002 \u8ba9\u6211\u4eec\u5c06\u8ba1\u7b97\u5b9e\u6570\u7684\u8fc7\u7a0b\u4e2d\u7684\u4eba\u4e0e\u53ea\u80fd\u6ee1\u8db3\u6709\u9650\u6570\u91cf\u7684\u6761\u4ef6 q1, q2, &#8230;, qR; \u7684\u673a\u5668\u8fdb\u884c\u6bd4\u8f83\u3002\u6211\u4eec\u5c06\u8fd9\u4e9b\u6761\u4ef6\u79f0\u4e3a\u201cm \u914d\u7f6e\u201d\u3002\u8fd9\u53f0\uff08\u5373\u5982\u6b64\u5b9a\u4e49\u7684\uff09\u673a\u5668\u914d\u5907\u6709\u201c\u80f6\u5e26\u201d\uff08\u7c7b\u4f3c\u4e8e\u7eb8\uff09\u3002\u7a7f\u8fc7\u673a\u5668\u7684\u76ae\u5e26\u88ab\u5206\u6210\u51e0\u6bb5\u3002\u6211\u4eec\u79f0\u5b83\u4eec\u4e3a\u201c\u6b63\u65b9\u5f62\u201d\u3002\u6bcf\u4e2a\u8fd9\u6837\u7684\u65b9\u5757\u90fd\u53ef\u4ee5\u5305\u542b\u67d0\u79cd\u201c\u7b26\u53f7\u201d\u3002\u5728\u4efb\u4f55\u65f6\u523b\uff0c\u53ea\u6709\u4e00\u4e2a\u8fd9\u6837\u7684\u6b63\u65b9\u5f62\uff0c\u6bd4\u5982\u7b2c r \u4e2a\uff0c\u5305\u542b\u201c\u5728\u8fd9\u53f0\u673a\u5668\u4e2d\u201d\u7684\u7b26\u53f7\u3002\u6211\u4eec\u5c06\u8fd9\u6837\u7684\u6b63\u65b9\u5f62\u79f0\u4e3a\u201c\u626b\u63cf\u7b26\u53f7\u201d\u3002\u53ef\u4ee5\u8bf4\uff0c\u201c\u626b\u63cf\u5b57\u7b26\u201d\u662f\u673a\u5668\u201c\u76f4\u63a5\u611f\u77e5\u201d\u7684\u552f\u4e00\u5b57\u7b26\u3002\u7136\u800c\uff0c\u901a\u8fc7\u6539\u53d8\u5b83\u7684 m \u914d\u7f6e\uff0c\u673a\u5668\u53ef\u4ee5\u6709\u6548\u5730\u8bb0\u4f4f\u5b83\u4e4b\u524d\u201c\u770b\u5230\u201d\uff08\u626b\u63cf\u8fc7\uff09\u7684\u4e00\u4e9b\u5b57\u7b26\u3002\u673a\u5668\u5728\u4efb\u4f55\u65f6\u523b\u53ef\u80fd\u7684\u884c\u4e3a\u7531 m \u914d\u7f6e<a class=\"more-link\" href=\"https:\/\/demensdeum.com\/blog\/zh\/2021\/11\/22\/alan-turing-machine-paper\/\">Continue reading <span class=\"screen-reader-text\">&#8220;\u56fe\u7075\u8ba1\u7b97\u673a&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[61],"tags":[180],"class_list":["post-3057","post","type-post","status-publish","format-standard","hentry","category-techie","tag-turing-machine","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"zh","enabled_languages":["en","ru","zh","de","fr","ja","pt","hi"],"languages":{"en":{"title":true,"content":true,"excerpt":false},"ru":{"title":true,"content":true,"excerpt":false},"zh":{"title":true,"content":true,"excerpt":false},"de":{"title":true,"content":true,"excerpt":false},"fr":{"title":true,"content":true,"excerpt":false},"ja":{"title":true,"content":true,"excerpt":false},"pt":{"title":true,"content":true,"excerpt":false},"hi":{"title":false,"content":false,"excerpt":false}}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/3057","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/comments?post=3057"}],"version-history":[{"count":20,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/3057\/revisions"}],"predecessor-version":[{"id":3890,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/3057\/revisions\/3890"}],"wp:attachment":[{"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/media?parent=3057"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/categories?post=3057"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demensdeum.com\/blog\/zh\/wp-json\/wp\/v2\/tags?post=3057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}