{"id":27435,"date":"2021-01-28T13:00:58","date_gmt":"2021-01-28T13:00:58","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27435"},"modified":"2024-07-09T02:38:44","modified_gmt":"2024-07-09T02:38:44","slug":"%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%845%e4%b8%aa%e5%af%b9%e7%a7%b0%e6%80%a7","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%91%bd%e9%a2%98%e9%80%bb%e8%be%91%e7%9a%845%e4%b8%aa%e5%af%b9%e7%a7%b0%e6%80%a7\/","title":{"rendered":"\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\u5728\u8fd9\u8282\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u63a2\u8ba8\u53cc\u91cd\u5426\u5b9a\u3001\u5047\u8bbe\u4e09\u6bb5\u8bba\u3001\u8574\u6db5\u7684\u9006\u5426\u547d\u9898\u3001\u63a8\u7406\u5b9a\u7406\u4ee5\u53ca\u8fde\u7ed3\u8bcd\u7684\u5b9a\u4e49\u5982\u4f55\u7ed3\u5408\u5f62\u6210\u547d\u9898\u903b\u8f91\u7684\u5bf9\u79f0\u6027\u3002\u901a\u8fc7\u6e05\u6670\u7b80\u5355\u7684\u6f14\u793a\uff0c\u4f60\u5c06\u5b66\u4f1a\u638c\u63e1\u7b49\u4ef7\u6027\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u4f60\u81ea\u5df1\u7684\u903b\u8f91\u6311\u6218\u4e2d\u3002<\/p>\n<p>\u672c\u8bfe\u8ba8\u8bba\u7684\u5bf9\u79f0\u6027\u5305\u62ec\uff1a<span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span>-\u5bf9\u79f0\u6027\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span>-\u5bf9\u79f0\u6027\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span>-\u5bf9\u79f0\u6027\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span>-\u5bf9\u79f0\u6027\u548c<span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span>-\u5bf9\u79f0\u6027\u3002\u6b64\u5916\uff0c\u8fd8\u5f3a\u8c03\u4e86\u8bc1\u660e\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u4ee5\u53ca\u6bcf\u4e2a\u8bc1\u660e\u5982\u4f55\u4f9d\u8d56\u4e8e\u524d\u4e00\u4e2a\u8bc1\u660e\u6765\u7b80\u5316\u672a\u6765\u7684\u63a8\u7406\u3002\u8fd9\u8282\u8bfe\u4e0d\u4ec5\u80fd\u8ba9\u4f60\u6df1\u5165\u4e86\u89e3\u547d\u9898\u903b\u8f91\uff0c\u8fd8\u80fd\u6559\u4f60\u5982\u4f55\u5229\u7528\u5148\u524d\u7684\u8bc1\u660e\u6765\u4f18\u5316\u5b66\u4e60\u8fc7\u7a0b\u3002<br \/>\n<\/em><\/p>\n<p style=\"text-align:center;\"><strong><u>\u5b66\u4e60\u76ee\u6807<\/u>\uff1a<\/strong><br \/>\u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f<\/p>\n<ol>\n<li><strong>\u8bb0\u4f4f<\/strong>\u547d\u9898\u903b\u8f91\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u5982\u5047\u8bbe\u4e09\u6bb5\u8bba\u548c\u53cc\u91cd\u5426\u5b9a\u3002<\/li>\n<li><strong>\u8bc6\u522b<\/strong>\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong>\u5bf9\u79f0\u6027\u7b49\u4ef7\u8bc1\u660e\u7684\u8fc7\u7a0b\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u5047\u8bbe\u3001\u63a8\u7406\u5b9a\u7406\u53ca\u5176\u9006\u547d\u9898\u4e8e\u8bc1\u660e\u4e2d\u3002<\/li>\n<li><strong>\u5173\u8054<\/strong>\u8fde\u7ed3\u8bcd\u7684\u5b9a\u4e49\u4e0e\u5bf9\u79f0\u6027\u3002<\/li>\n<li><strong>\u91cd\u89c6<\/strong>\u4e00\u6b21\u6027\u5b8c\u6210\u8bc1\u660e\u5e76\u5728\u672a\u6765\u7684\u8bc1\u660e\u4e2d\u91cd\u590d\u4f7f\u7528\u7684\u91cd\u8981\u6027\u3002<\/li>\n<li><strong>\u53d1\u5c55<\/strong>\u8fdb\u884c\u903b\u8f91\u8bc1\u660e\u7684\u5206\u6790\u548c\u6279\u5224\u6280\u80fd\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u5185\u5bb9\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span> &#8211; \u5bf9\u79f0\u6027<\/a><br \/>\n<a href=\"#2\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span> &#8211; \u5bf9\u79f0\u6027<\/a><br \/>\n<a href=\"#3\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span> &#8211; \u5bf9\u79f0\u6027<\/a><br \/>\n<a href=\"#4\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span> &#8211; \u5bf9\u79f0\u6027<\/a><br \/>\n<a href=\"#5\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span> &#8211; \u5bf9\u79f0\u6027<\/a><br \/>\n<a href=\"#6\">\u6700\u540e\u7684\u89c2\u5bdf<\/a>\n<\/p>\n<p><center><br \/>\n<iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/XKY_nS5Mizk\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p style=\"text-align: justify; color: #000000;\">\u5047\u8bbe\u4e09\u6bb5\u8bba\u3001\u53cc\u91cd\u5426\u5b9a\u548c\u8574\u6db5\u7684\u9006\u5426\u547d\u9898\u3001\u63a8\u7406\u5b9a\u7406\u4ee5\u53ca\u8fde\u7ed3\u8bcd\u5b9a\u4e49\u7684\u76f4\u63a5\u7ed3\u679c\u662f\u6211\u4eec\u5c06\u8981\u5ba1\u67e5\u7684\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027\u3002<\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\downarrow \\beta) \\dashv\\vdash (\\beta\\downarrow \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\vee \\beta) \\dashv\\vdash (\\beta\\vee \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\wedge \\beta) \\dashv\\vdash (\\beta\\wedge \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\leftrightarrow \\beta) \\dashv\\vdash (\\beta\\leftrightarrow \\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\veebar \\beta) \\dashv\\vdash (\\beta\\veebar\\alpha)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u4e9b\u7b49\u4ef7\u8bc1\u660e\u5e76\u975e\u5b8c\u5168\u76f4\u89c2\uff0c\u4f46\u4e0e\u6211\u4eec\u4e4b\u524d\u770b\u5230\u7684\u4e00\u4e9b\u8bc1\u660e\u4e0d\u540c\uff0c\u5b83\u4eec\u76f8\u5bf9\u7b80\u5355\u3002\u4ee5\u4e0b\u663e\u793a\u4e86\u6bcf\u4e2a\u8bc1\u660e\u7684\u5355\u5411\u6f14\u793a\uff1b\u9006\u5411\u8bc1\u660e\u51e0\u4e4e\u76f8\u540c\uff0c\u8bfb\u8005\u53ef\u4ee5\u7ec3\u4e60\u9006\u5411\u8bc1\u660e\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u5bf9\u79f0\u6027<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=203s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u67e5\u770b<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\alpha \\vee\\beta)<\/span><\/span><\/td>\n<td>; \u524d\u63d0<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\neg \\alpha \\rightarrow \\beta)<\/span><\/span><\/td>\n<td>; \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\vee \\beta) := (\\neg \\alpha \\rightarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\vee \\beta)\\}\\vdash (\\neg \\beta \\rightarrow \\alpha)<\/span><\/span><\/td>\n<td>; CPI(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\vee \\beta)\\}\\vdash ( \\beta \\vee \\alpha)}<\/span><\/span><\/td>\n<td>; \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">( \\beta \\vee \\alpha) := (\\neg\\beta\\rightarrow\\alpha)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u9006\u5411\u63a8\u7406\u53ea\u9700\u5f88\u5c11\u7684\u53d8\u52a8\uff0c\u5047\u8bbe\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\beta\\vee\\alpha)\\}\\vdash (\\beta\\vee\\alpha)<\/span><\/span><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u5bf9\u79f0\u6027<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=383s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u67e5\u770b<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash \\neg(\\alpha \\downarrow \\beta) <\/span><\/span><\/td>\n<td>; \u524d\u63d0<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash (\\alpha \\vee \\beta) <\/span><\/span><\/td>\n<td>; \u4ece (1) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> (\\alpha\\vee\\beta) := \\neg(\\alpha \\downarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\{\\neg(\\alpha \\downarrow \\beta)\\}\\vdash (\\beta \\vee \\alpha) <\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vee<\/span><\/span>-\u5bf9\u79f0\u6027<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg(\\alpha \\downarrow \\beta) \\rightarrow (\\beta \\vee \\alpha)) <\/span><\/span><\/td>\n<td>; TD(3)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg(\\beta \\vee \\alpha) \\rightarrow (\\alpha \\downarrow \\beta)) <\/span><\/span><\/td>\n<td>; CPI(4)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(6)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash ((\\beta \\downarrow \\alpha) \\rightarrow (\\alpha \\downarrow \\beta)) <\/span><\/span><\/td>\n<td>; \u4ece (5) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta\\vee\\alpha) := \\neg(\\beta \\downarrow \\alpha)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(7)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\beta \\downarrow \\alpha) \\} \\vdash (\\alpha \\downarrow \\beta)}<\/span><\/span><\/td>\n<td>; RTD(6)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u6700\u7ec8\uff0c\u9006\u5411\u63a8\u7406\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg(\\beta\\downarrow\\alpha)\\}\\vdash \\neg(\\beta\\downarrow\\alpha)<\/span><\/span>\u7684\u5047\u8bbe\u5f00\u59cb\u83b7\u5f97\u76f8\u53cd\u65b9\u5411\u7684\u63a8\u7406<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u5bf9\u79f0\u6027<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=659s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u67e5\u770b<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\alpha \\wedge \\beta)<\/span><\/span><\/td>\n<td>; \u524d\u63d0<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\neg\\alpha \\downarrow \\neg\\beta)<\/span><\/span><\/td>\n<td>; \u4ece (1) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\wedge \\beta) := (\\neg\\alpha \\downarrow \\neg\\beta)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\wedge \\beta)\\} \\vdash (\\neg\\beta \\downarrow \\neg\\alpha)<\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\downarrow<\/span><\/span>-\u5bf9\u79f0\u6027 (2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\wedge \\beta)\\} \\vdash ( \\beta \\wedge \\alpha)}<\/span><\/span><\/td>\n<td>; \u4ece (3) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta \\wedge \\alpha) := (\\neg\\beta \\downarrow \\neg\\alpha)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u4e0e\u524d\u4e00\u4e2a\u4e00\u6837\uff0c\u9006\u5411\u63a8\u7406\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{( \\beta \\wedge \\alpha)\\}\\vdash ( \\beta \\wedge \\alpha)<\/span><\/span>\u7684\u5047\u8bbe\u5f00\u59cb\u83b7\u5f97\u76f8\u53cd\u65b9\u5411\u7684\u63a8\u7406<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u5bf9\u79f0\u6027<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=830s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u67e5\u770b<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\alpha \\leftrightarrow \\beta)<\/span><\/span><\/td>\n<td>; \u524d\u63d0<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ((\\alpha \\rightarrow \\beta) \\wedge (\\alpha \\rightarrow \\beta))<\/span><\/span><\/td>\n<td>; \u4ece (1) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\leftrightarrow \\beta) := ((\\alpha \\rightarrow \\beta) \\wedge (\\beta \\rightarrow \\alpha)) <\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ((\\beta \\rightarrow \\alpha) \\wedge (\\alpha \\rightarrow \\beta) )<\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\wedge<\/span><\/span>-\u5bf9\u79f0\u6027(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\beta \\leftrightarrow \\alpha)}<\/span><\/span><\/td>\n<td>; \u4ece (3) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\beta \\leftrightarrow \\alpha) := ((\\beta \\rightarrow \\alpha) \\wedge (\\alpha \\rightarrow \\beta)) <\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u4e0e\u524d\u4e00\u4e2a\u4e00\u6837\uff0c\u4f46\u5047\u8bbe\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{( \\beta \\leftrightarrow \\alpha)\\}\\vdash ( \\beta\\leftrightarrow \\alpha)<\/span><\/span><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\veebar<\/span><\/span>-\u5bf9\u79f0\u6027<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=982s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u67e5\u770b<\/span><\/strong><\/a><\/p>\n<table style=\"text-align: justify; color: #000000;\">\n<tbody>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(1)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash (\\alpha \\leftrightarrow \\beta) <\/span><\/span><\/td>\n<td>; \u524d\u63d0<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(2)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\alpha \\leftrightarrow \\beta)\\} \\vdash ( \\beta \\leftrightarrow \\alpha) <\/span><\/span><\/td>\n<td>; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\leftrightarrow<\/span><\/span>-\u5bf9\u79f0\u6027(1)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(3)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash ((\\alpha \\leftrightarrow \\beta) \\rightarrow ( \\beta \\leftrightarrow \\alpha)) <\/span><\/span><\/td>\n<td>; TD(2)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(4)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\vdash (\\neg ( \\beta \\leftrightarrow \\alpha) \\rightarrow \\neg (\\alpha \\leftrightarrow \\beta)) <\/span><\/span><\/td>\n<td>; CPI(3)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(5)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{\\neg ( \\beta \\leftrightarrow \\alpha)\\} \\vdash \\neg (\\alpha \\leftrightarrow \\beta) <\/span><\/span><\/td>\n<td>; RTD(4)<\/td>\n<\/tr>\n<tr>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(6)<\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\{ ( \\beta \\veebar \\alpha)\\} \\vdash (\\alpha \\veebar \\beta)} <\/span><\/span><\/td>\n<td>; \u4ece (5) \u56e0\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">( \\beta \\veebar \\alpha) := \\neg\\beta \\leftrightarrow \\alpha)<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\alpha \\veebar \\beta) := \\neg (\\alpha \\leftrightarrow \\beta)<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u5982\u540c\u6240\u6709\u5176\u4ed6\u60c5\u51b5\u4e00\u6837\uff0c\u8bc1\u660e\u5047\u8bbe\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\{(\\beta \\leftrightarrow \\alpha)\\} \\vdash (\\beta \\leftrightarrow \\alpha)<\/span><\/span> \u4ee5\u83b7\u5f97\u76f8\u53cd\u65b9\u5411\u7684\u63a8\u7406\u3002<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u6700\u540e\u7684\u89c2\u5bdf<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=XKY_nS5Mizk&#038;t=1145s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u8bfb\u8005\u5e94\u6ce8\u610f\u7684\u4e00\u4e2a\u65b9\u9762<\/span><\/strong><\/a>\u662f\u9009\u62e9\u8bc1\u660e\u8fd95\u4e2a\u547d\u9898\u903b\u8f91\u5bf9\u79f0\u6027\u7684\u987a\u5e8f\u3002\u6ce8\u610f\u6bcf\u4e2a\u8bc1\u660e\u7684\u9009\u62e9\u65b9\u5f0f\u4f7f\u5176\u5229\u7528\u4e4b\u524d\u5b8c\u6210\u7684\u4e00\u4e9b\u8bc1\u660e\u3002\u8fd9\u53cd\u6620\u4e86\u8fdb\u884c\u8bc1\u660e\u65f6\u5e94\u9075\u5faa\u7684\u65b9\u6cd5\uff1a\u8bc1\u660e\u53ea\u8fdb\u884c\u4e00\u6b21\uff08\u4e14\u4ec5\u4e00\u6b21\uff01\uff09\uff1b\u5728\u90a3\u4e4b\u540e\uff0c\u4f60\u7684\u76ee\u6807\u5e94\u96c6\u4e2d\u5728\u4f7f\u7528\u5148\u524d\u7684\u8bc1\u660e\u6765\u7b80\u5316\u672a\u6765\u7684\u63a8\u7406\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027 \u6458\u8981\uff1a\u5728\u8fd9\u8282\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u63a2\u8ba8\u53cc\u91cd\u5426\u5b9a\u3001\u5047\u8bbe\u4e09\u6bb5\u8bba\u3001\u8574\u6db5\u7684\u9006\u5426\u547d\u9898\u3001\u63a8\u7406\u5b9a\u7406\u4ee5\u53ca\u8fde\u7ed3\u8bcd\u7684\u5b9a\u4e49\u5982\u4f55\u7ed3\u5408\u5f62\u6210\u547d\u9898\u903b\u8f91\u7684\u5bf9\u79f0\u6027\u3002\u901a\u8fc7\u6e05\u6670\u7b80\u5355\u7684\u6f14\u793a\uff0c\u4f60\u5c06\u5b66\u4f1a\u638c\u63e1\u7b49\u4ef7\u6027\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u4f60\u81ea\u5df1\u7684\u903b\u8f91\u6311\u6218\u4e2d\u3002 \u672c\u8bfe\u8ba8\u8bba\u7684\u5bf9\u79f0\u6027\u5305\u62ec\uff1a-\u5bf9\u79f0\u6027\uff0c-\u5bf9\u79f0\u6027\uff0c-\u5bf9\u79f0\u6027\uff0c-\u5bf9\u79f0\u6027\u548c-\u5bf9\u79f0\u6027\u3002\u6b64\u5916\uff0c\u8fd8\u5f3a\u8c03\u4e86\u8bc1\u660e\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u4ee5\u53ca\u6bcf\u4e2a\u8bc1\u660e\u5982\u4f55\u4f9d\u8d56\u4e8e\u524d\u4e00\u4e2a\u8bc1\u660e\u6765\u7b80\u5316\u672a\u6765\u7684\u63a8\u7406\u3002\u8fd9\u8282\u8bfe\u4e0d\u4ec5\u80fd\u8ba9\u4f60\u6df1\u5165\u4e86\u89e3\u547d\u9898\u903b\u8f91\uff0c\u8fd8\u80fd\u6559\u4f60\u5982\u4f55\u5229\u7528\u5148\u524d\u7684\u8bc1\u660e\u6765\u4f18\u5316\u5b66\u4e60\u8fc7\u7a0b\u3002 \u5b66\u4e60\u76ee\u6807\uff1a\u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f \u8bb0\u4f4f\u547d\u9898\u903b\u8f91\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u5982\u5047\u8bbe\u4e09\u6bb5\u8bba\u548c\u53cc\u91cd\u5426\u5b9a\u3002 \u8bc6\u522b\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027\u3002 \u7406\u89e3\u5bf9\u79f0\u6027\u7b49\u4ef7\u8bc1\u660e\u7684\u8fc7\u7a0b\u3002 \u5e94\u7528\u5047\u8bbe\u3001\u63a8\u7406\u5b9a\u7406\u53ca\u5176\u9006\u547d\u9898\u4e8e\u8bc1\u660e\u4e2d\u3002 \u5173\u8054\u8fde\u7ed3\u8bcd\u7684\u5b9a\u4e49\u4e0e\u5bf9\u79f0\u6027\u3002 \u91cd\u89c6\u4e00\u6b21\u6027\u5b8c\u6210\u8bc1\u660e\u5e76\u5728\u672a\u6765\u7684\u8bc1\u660e\u4e2d\u91cd\u590d\u4f7f\u7528\u7684\u91cd\u8981\u6027\u3002 \u53d1\u5c55\u8fdb\u884c\u903b\u8f91\u8bc1\u660e\u7684\u5206\u6790\u548c\u6279\u5224\u6280\u80fd\u3002 \u5185\u5bb9\u76ee\u5f55 &#8211; \u5bf9\u79f0\u6027 &#8211; \u5bf9\u79f0\u6027 &#8211; \u5bf9\u79f0\u6027 &#8211; \u5bf9\u79f0\u6027 &#8211; \u5bf9\u79f0\u6027 \u6700\u540e\u7684\u89c2\u5bdf \u5047\u8bbe\u4e09\u6bb5\u8bba\u3001\u53cc\u91cd\u5426\u5b9a\u548c\u8574\u6db5\u7684\u9006\u5426\u547d\u9898\u3001\u63a8\u7406\u5b9a\u7406\u4ee5\u53ca\u8fde\u7ed3\u8bcd\u5b9a\u4e49\u7684\u76f4\u63a5\u7ed3\u679c\u662f\u6211\u4eec\u5c06\u8981\u5ba1\u67e5\u7684\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027\u3002 -\u5bf9\u79f0\u6027 -\u5bf9\u79f0\u6027 -\u5bf9\u79f0\u6027 -\u5bf9\u79f0\u6027 -\u5bf9\u79f0\u6027 \u8fd9\u4e9b\u7b49\u4ef7\u8bc1\u660e\u5e76\u975e\u5b8c\u5168\u76f4\u89c2\uff0c\u4f46\u4e0e\u6211\u4eec\u4e4b\u524d\u770b\u5230\u7684\u4e00\u4e9b\u8bc1\u660e\u4e0d\u540c\uff0c\u5b83\u4eec\u76f8\u5bf9\u7b80\u5355\u3002\u4ee5\u4e0b\u663e\u793a\u4e86\u6bcf\u4e2a\u8bc1\u660e\u7684\u5355\u5411\u6f14\u793a\uff1b\u9006\u5411\u8bc1\u660e\u51e0\u4e4e\u76f8\u540c\uff0c\u8bfb\u8005\u53ef\u4ee5\u7ec3\u4e60\u9006\u5411\u8bc1\u660e\u3002 -\u5bf9\u79f0\u6027 \u67e5\u770b ; \u524d\u63d0 ; \u56e0\u4e3a ; CPI(2) ; \u56e0\u4e3a \u9006\u5411\u63a8\u7406\u53ea\u9700\u5f88\u5c11\u7684\u53d8\u52a8\uff0c\u5047\u8bbe\u4ece -\u5bf9\u79f0\u6027 \u67e5\u770b ; \u524d\u63d0 ; \u4ece (1) \u56e0\u4e3a ; -\u5bf9\u79f0\u6027 ; TD(3) ; CPI(4) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":27410,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":1,"footnotes":""},"categories":[623,575,609],"tags":[],"class_list":["post-27435","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-623","category-575","category-609"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u547d\u9898\u903b\u8f91\u76845\u4e2a\u5bf9\u79f0\u6027 - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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