{"id":33885,"date":"2021-03-08T13:00:51","date_gmt":"2021-03-08T13:00:51","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33885"},"modified":"2025-08-01T01:56:42","modified_gmt":"2025-08-01T01:56:42","slug":"%e6%84%8f%e5%91%b3%e8%ab%96%e7%9a%84%e5%b8%b0%e7%b5%90%e3%81%a8%e5%90%8c%e5%80%a4","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e6%84%8f%e5%91%b3%e8%ab%96%e7%9a%84%e5%b8%b0%e7%b5%90%e3%81%a8%e5%90%8c%e5%80%a4\/","title":{"rendered":"\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u8981\u7d04<\/strong><br \/><em>\u3053\u306e\u6388\u696d\u3067\u306f\u3001\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024\u3092\u5b66\u3073\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3053\u308c\u307e\u3067\u306b\u5b66\u3093\u3060\u5185\u5bb9\u306e\u81ea\u7136\u306a\u7d9a\u304d\u3067\u3059\u3002\u771f\u7406\u5024\u306e\u5272\u308a\u5f53\u3066\u304b\u3089\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u306e\u6982\u5ff5\u3092\u3069\u306e\u3088\u3046\u306b\u5f97\u308b\u304b\u3001\u305d\u3057\u3066\u3053\u306e\u8003\u3048\u65b9\u304c\u63a8\u8ad6\u5b9a\u7406\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u9023\u3059\u308b\u304b\u3092\u5b66\u3073\u307e\u3059\u3002\u307e\u305f\u3001\u9023\u8a00\u9664\u53bb\u3084\u9078\u8a00\u5c0e\u5165\u306e\u3088\u3046\u306a\u6709\u7528\u306a\u6027\u8cea\u3092\u5f97\u308b\u305f\u3081\u306b\u771f\u7406\u5024\u8868\u3092\u4f7f\u3046\u5b9f\u7528\u7684\u306a\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u610f\u5473\u8ad6\u7684\u540c\u5024\u306e\u6982\u5ff5\u3092\u63a2\u6c42\u3057\u3001\u305d\u308c\u304c\u65e2\u306b\u77e5\u3063\u3066\u3044\u308b\u6027\u8cea\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u9023\u3059\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u30e2\u30c7\u30eb\u3084\u63a8\u8ad6\u6280\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024\u306e\u554f\u984c\u306e\u7814\u7a76\u3092\u7c21\u7565\u5316\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n\u3053\u306e\u6388\u696d\u306e\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\n<\/p>\n<ol>\n<li><strong>\u610f\u5473\u8ad6\u7684\u5e30\u7d50<\/strong>\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li>\u8a18\u53f7 \u22a8 \u306e<strong>\u3055\u307e\u3056\u307e\u306a\u89e3\u91c8<\/strong>\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li><strong>\u610f\u5473\u8ad6\u7684\u30d0\u30fc\u30b8\u30e7\u30f3\u306e\u63a8\u8ad6\u5b9a\u7406<\/strong>\u306e\u8a3c\u660e\u3068\u3001\u305d\u308c\u304c\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u304a\u3088\u3073\u540c\u5024\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u3069\u306e\u3088\u3046\u306b\u7528\u3044\u3089\u308c\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li><strong>\u610f\u5473\u8ad6\u7684\u540c\u5024<\/strong>\u306e\u5b9a\u7fa9\u3068\u3001\u305d\u308c\u304c\u771f\u7406\u5024\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3057\u3066\u3044\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li>\u610f\u5473\u8ad6\u7684\u63a8\u8ad6\u5b9a\u7406\u3092<strong>\u5fdc\u7528\u3057\u3066\u3001\u5e30\u7d50\u306e\u554f\u984c\u3092\u59a5\u5f53\u6027\u306e\u554f\u984c\u306b\u5909\u63db<\/strong>\u3059\u308b\u3002<\/li>\n<li>\u771f\u7406\u5024\u8868\u306e\u6709\u7528\u306a\u6027\u8cea\u3092<strong>\u5fdc\u7528\u3057\u3066\u3001\u610f\u5473\u8ad6\u7684\u540c\u5024\u3092\u8a3c\u660e<\/strong>\u3059\u308b\u3002<\/li>\n<li>\u5438\u53ce\u5f8b\u3001\u5206\u914d\u5f8b\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u3092<strong>\u9069\u7528\u3057\u3066\u8907\u96d1\u306a\u5f0f\u3092\u7c21\u7565\u5316<\/strong>\u3059\u308b\u3002<\/li>\n<li>\u547d\u984c\u8ad6\u7406\u306e\u7814\u7a76\u306b\u304a\u3051\u308b<strong>\u30e2\u30c7\u30eb\u3068\u63a8\u8ad6\u306e\u95a2\u4fc2\u3092\u5206\u6790<\/strong>\u3059\u308b\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\">\u5272\u308a\u5f53\u3066\u3068\u30e2\u30c7\u30eb<\/a><br \/>\n<a href=\"#2\">\u63a8\u8ad6\u5b9a\u7406\uff08\u610f\u5473\u8ad6\u7684\u30d0\u30fc\u30b8\u30e7\u30f3\uff09<\/a><br \/>\n<a href=\"#3\">\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024\u306e\u7814\u7a76\u306b\u304a\u3051\u308b\u63a8\u8ad6\u5b9a\u7406\u306e\u4f7f\u7528<\/a><br \/>\n<a href=\"#4\">\u610f\u5473\u8ad6\u7684\u540c\u5024\u3068\u6027\u8cea<\/a><br \/>\n<a href=\"#5\">\u307e\u3068\u3081<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/vjkzDxbG8LY\" 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;\">\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024\u306e\u7814\u7a76\u306f\u3001<a href=\"https:\/\/toposuranos.com\/semantica-de-la-logica-proposicional\/\" rel=\"noopener\" target=\"_blank\">\u547d\u984c\u8ad6\u7406\u306e\u610f\u5473\u8ad6<\/a>\u3092\u78ba\u8a8d\u3057\u305f\u3068\u304d\u306e\u81ea\u7136\u306a\u7d9a\u304d\u3067\u3059\u3002\u4eca\u56de\u306f\u3001\u771f\u7406\u5024\u306e\u5272\u308a\u5f53\u3066\u304b\u3089\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u306e\u6982\u5ff5\u304c\u3069\u306e\u3088\u3046\u306b\u5f97\u3089\u308c\u308b\u304b\u3001\u305d\u3057\u3066\u305d\u3053\u304b\u3089\u3069\u306e\u3088\u3046\u306b\u3057\u3066<a href=\"https:\/\/toposuranos.com\/tecnicas-deduccion-logica-proposicional\/\" rel=\"noopener\" target=\"_blank\">\u63a8\u8ad6\u5b9a\u7406<\/a>\u306e\u610f\u5473\u8ad6\u7684\u30d0\u30fc\u30b8\u30e7\u30f3\u304c\u81ea\u7136\u306b\u751f\u307e\u308c\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3053\u3053\u304b\u3089\u3001\u771f\u7406\u5024\u8868\u3092\u7528\u3044\u3066\u6709\u7528\u306a\u6027\u8cea\u3092\u5f97\u308b\u5b9f\u7528\u7684\u306a\u4f8b\u304c\u793a\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5185\u5bb9\u306f<a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY\" rel=\"noopener\" target=\"_blank\">YouTube \u30c1\u30e3\u30f3\u30cd\u30eb<\/a>\u3067\u3082\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5272\u308a\u5f53\u3066\u3068\u30e2\u30c7\u30eb<\/h2>\n<p style=\"text-align: justify;\">\u307e\u305a\u306f\u3001\u3053\u306e\u9805\u76ee\u3067\u5c55\u958b\u3055\u308c\u308b\u7406\u8ad6\u306e\u57fa\u790e\u3068\u306a\u308b\u91cd\u8981\u306a\u5b9a\u7fa9\u3067\u3042\u308b\u300c\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u300d\u304b\u3089\u59cb\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><span style=\"color: #880000;\"><strong>\u5b9a\u7fa9\uff1a<\/strong><\/span> \u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u306f\u3001\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306e<strong>\uff08\u610f\u5473\u8ad6\u7684\uff09\u5e30\u7d50<\/strong>\u3067\u3042\u308b\u3068\u306f\u3001\u3059\u3079\u3066\u306e\u5272\u308a\u5f53\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span> \u306b\u5bfe\u3057\u3066\u3001<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models F \\Rightarrow \\mathcal{A}\\models G<\/span>\n<p>\u304c\u6210\u308a\u7acb\u3064\u3068\u304d\u3067\u3042\u308b\u3002\u3053\u308c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u3068\u8a18\u8ff0\u3055\u308c\u3001\u300c\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306f\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u300d\u307e\u305f\u306f\u300c<span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306e\uff08\u610f\u5473\u8ad6\u7684\uff09\u5e30\u7d50\u3067\u3042\u308b\u300d\u3068\u8aad\u3080\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u5b9a\u7fa9\u3092\u3082\u3068\u306b\u3001\u8a18\u53f7 <span class=\"katex-eq\" data-katex-display=\"false\">\\models<\/span> \u306b\u306f\u6587\u8108\u306b\u3088\u3063\u3066\u3044\u304f\u3064\u304b\u306e\u7570\u306a\u308b\u89e3\u91c8\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models F<\/span> \u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(F) = 1<\/span>\u3001\u3059\u306a\u308f\u3061\u300c<span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u300d\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">G \\models F<\/span> \u306f\u3001\u4efb\u610f\u306e\u5272\u308a\u5f53\u3066\u304c <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u3092\u30e2\u30c7\u30eb\u5316\u3059\u308c\u3070 <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u3082\u30e2\u30c7\u30eb\u5316\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u3001\u300c<span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u306e\u5e30\u7d50\u3067\u3042\u308b\u300d\u3068\u8aad\u3080\u3002<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\models F<\/span> \u306f\u3001\u3059\u3079\u3066\u306e\u5272\u308a\u5f53\u3066\u306b\u304a\u3044\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3001\u3059\u306a\u308f\u3061 <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u304c\u6052\u771f\u5f0f\uff08\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\uff09\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u3053\u306e\u3088\u3046\u306b\u3001\u8a18\u53f7 <span class=\"katex-eq\" data-katex-display=\"false\">\\models<\/span> \u306f\u8907\u6570\u306e\u610f\u5473\u3092\u6301\u3061\u3046\u308b\u304c\u3001\u6587\u8108\u306b\u3088\u3063\u3066\u89e3\u91c8\u304c\u66d6\u6627\u306b\u306a\u308b\u3053\u3068\u306f\u306a\u3044\u3002<\/p>\n<p style=\"text-align: justify;\">\uff08\u610f\u5473\u8ad6\u7684\uff09\u5e30\u7d50\u306e\u6982\u5ff5\u306f\u3001\u4ee5\u524d\u306b\u898b\u305f\u300c\u542b\u610f\u300d\u306e\u6982\u5ff5\u3068\u8fd1\u3044\u3082\u306e\u3067\u3042\u308a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u304c\u6210\u308a\u7acb\u3064\u306a\u3089\u3070 <span class=\"katex-eq\" data-katex-display=\"false\">\\models (F\\rightarrow G)<\/span> \u304c\u6210\u308a\u7acb\u3064\u3002\u5b9f\u969b\u3001\u3053\u306e\u6027\u8cea\u306f\u3001\u4ee5\u524d\u306e\u6388\u696d\u3067\u5b66\u3093\u3060\u63a8\u8ad6\u5b9a\u7406\u3068\u975e\u5e38\u306b\u985e\u4f3c\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u63a8\u8ad6\u5b9a\u7406\uff08\u610f\u5473\u8ad6\u7684\u30d0\u30fc\u30b8\u30e7\u30f3\uff09<\/h2>\n<p><strong><span style=\"color: #000000;\">[<a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY&amp;t=444s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">\u8996\u8074<\/span><\/a>]<\/span><\/strong><\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><span style=\"color: #aa0000;\"><strong>\u5b9a\u7406\uff1a<\/strong><\/span> <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u304c\u4efb\u610f\u306e\u5f0f\u3067\u3042\u308b\u3068\u304d\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> F\\models G \\Leftrightarrow \\models (F\\rightarrow G) <\/span>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;\"><span style=\"color: #0000aa;\"><strong>\u8a3c\u660e\uff1a<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u306e\u5b9a\u7406\u306e\u8a3c\u660e\u306f\u3001\u771f\u7406\u5024\u8868\u3092\u89b3\u5bdf\u3059\u308b\u3053\u3068\u3067\u5bb9\u6613\u306b\u5f97\u3089\u308c\u308b\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G):=(\\neg F \\vee G)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u306e\u610f\u5473\u306b\u6ce8\u76ee\u3059\u308b\u3068\u3001\u3053\u308c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models F \\Rightarrow \\mathcal{A}\\models G<\/span> \u3068\u8a00\u3046\u306e\u3068\u540c\u3058\u3067\u3042\u308a\u3001\u3055\u3089\u306b\u305d\u308c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\not\\models F \\vee \\mathcal{A}\\models G<\/span> \u3068\u8a00\u3044\u63db\u3048\u3089\u308c\u308b\u3002\u305d\u3057\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\not\\models F<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models \\neg F<\/span> \u3068\u7b49\u4fa1\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models \\neg F \\vee \\mathcal{A}\\models G<\/span> \u3092\u610f\u5473\u3059\u308b\u3002\u4eca\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F \\rightarrow G<\/span> \u306e\u771f\u7406\u5024\u8868\u3092\u4f5c\u6210\u3057\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models \\neg F \\vee \\mathcal{A}\\models G<\/span> \u304c\u6210\u308a\u7acb\u3064\u9818\u57df\u3092 <span style=\"color: #008800;\"><strong>\u7dd1\u8272<\/strong><\/span>\u3067\u793a\u3059\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff1a<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G):=(\\neg F \\vee G)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #008800; color: #ffffff;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u3053\u3068\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u306e\u3068\u304d\u3001\u5e38\u306b <span class=\"katex-eq\" data-katex-display=\"false\">\\models (F \\rightarrow G)<\/span> \u304c\u6210\u308a\u7acb\u3061\u3001\u305d\u306e\u9006\u3082\u307e\u305f\u6210\u308a\u7acb\u3064\u3002\u3053\u308c\u306f\u307e\u3055\u306b\u610f\u5473\u8ad6\u7684\u30d0\u30fc\u30b8\u30e7\u30f3\u306b\u304a\u3051\u308b\u63a8\u8ad6\u5b9a\u7406\u304a\u3088\u3073\u305d\u306e\u9006\u3092\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3042\u308b\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u304c\u5225\u306e\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306e\u5e30\u7d50\u3067\u3042\u308b\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u3092<strong>\u5e30\u7d50\u554f\u984c<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u524d\u8ff0\u306e\u5b9a\u7406\u3092\u7528\u3044\u308c\u3070\u3001\u3053\u306e\u554f\u984c\u306f<strong>\u59a5\u5f53\u6027\u306e\u554f\u984c<\/strong>\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u300c<span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306e\u5e30\u7d50\u3067\u3042\u308b\u306e\u306f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G)<\/span> \u304c\u5b9a\u7406\u3067\u3042\u308b\u3068\u304d\u3001\u304b\u3064\u305d\u306e\u3068\u304d\u306b\u9650\u308b\u300d\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024\u306e\u7814\u7a76\u306b\u304a\u3051\u308b\u63a8\u8ad6\u5b9a\u7406\u306e\u4f7f\u7528<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY&amp;t=796s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u771f\u7406\u5024\u8868\u306b\u57fa\u3065\u3044\u3066<\/span><\/strong><\/a>\u3001\u904e\u53bb\u306b\u898b\u305f\u6027\u8cea\u306b\u985e\u4f3c\u3057\u305f\u3044\u304f\u3064\u304b\u306e\u6027\u8cea\u3092\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td colspan=\"2\" style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b<\/span><\/strong>: \u771f\u7406\u5024\u8868\u3092\u4f7f\u3063\u3066\u6b21\u306e\u6027\u8cea\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3059<\/td>\n<\/tr>\n<tr>\n<td>\u9023\u8a00\u9664\u53bb\uff1a<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G)\\models F<\/span><\/td>\n<\/tr>\n<tr>\n<td>\u9078\u8a00\u5c0e\u5165\uff1a<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">F\\models (F\\vee G)<\/span><\/td>\n<\/tr>\n<tr>\n<td>\u77db\u76fe\uff1a<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge\\neg F)\\models G<\/span><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><span style=\"color: #008800;\"><strong>\u89e3\u7b54\uff1a<\/strong><\/span><span style=\"color: #000000;\"> \u5148\u307b\u3069\u78ba\u8a8d\u3057\u305f\u63a8\u8ad6\u5b9a\u7406\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u5e30\u7d50\u554f\u984c\u3092\u59a5\u5f53\u6027\u306e\u554f\u984c\u306b\u5909\u63db\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>\u9023\u8a00\u9664\u53bb<\/strong>\u3092\u89e3\u304f\u305f\u3081\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u771f\u7406\u5024\u8868\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G)<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge G) \\rightarrow F)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u3053\u3068\u304b\u3089\u3001<span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge G)\\rightarrow F)<\/span> \u304c\u6052\u771f\u5f0f\uff08\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\uff09\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u3001\u63a8\u8ad6\u5b9a\u7406\u306e\u9006\u3092\u7528\u3044\u3066 <span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G) \\models F<\/span> \u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u9078\u8a00\u5c0e\u5165<\/strong>\u3082\u540c\u69d8\u306b\u3001\u9069\u5207\u306a\u771f\u7406\u5024\u8868\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u3067\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee G)<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow(F\\vee G))<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u3053\u3067\u3001<span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow (F\\vee G))<\/span> \u304c\u6052\u771f\u5f0f\uff08\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\uff09\u3067\u3042\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u63a8\u8ad6\u5b9a\u7406\u306e\u9006\u3092\u7528\u3044\u308b\u3068\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F\\models (F\\vee G)<\/span> \u304c\u5c0e\u304b\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u6700\u5f8c\u306b\u3001<strong>\u77db\u76fe<\/strong>\u306e\u6027\u8cea\u3082\u540c\u3058\u65b9\u6cd5\u3092\u7528\u3044\u3066\u8a3c\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\neg F)<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge \\neg F)\\rightarrow G)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">0<\/span><\/td>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<td style=\"text-align: center; background-color: #dddd00;\"><span class=\"katex-eq\" data-katex-display=\"false\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u3053\u306e\u771f\u7406\u5024\u8868\u306b\u3088\u3063\u3066\u3001<span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge \\neg F)\\rightarrow G)<\/span> \u304c\u6052\u771f\u5f0f\u3067\u3042\u308b\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u3001\u3057\u305f\u304c\u3063\u3066\u63a8\u8ad6\u5b9a\u7406\u306e\u9006\u306b\u3088\u308a <span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\neg F)\\models G<\/span> \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u610f\u5473\u8ad6\u7684\u540c\u5024\u3068\u305d\u306e\u6027\u8cea<\/h2>\n<p><span style=\"color: #000000;\"><strong>[<a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY&amp;t=1058s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\">\u8996\u8074<\/span><\/a>]<\/strong><\/span><\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><span style=\"color: #880000;\"><strong>\u5b9a\u7fa9\uff1a<\/strong><\/span> <span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span> \u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">G\\models F<\/span> \u304c\u540c\u6642\u306b\u6210\u308a\u7acb\u3064\u3068\u304d\u3001<span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u306f<strong>\u610f\u5473\u8ad6\u7684\u306b\u540c\u5024<\/strong>\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002\u3053\u308c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">F\\equiv G<\/span> \u3068\u8868\u8a18\u3055\u308c\u307e\u3059\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><strong>\u3053\u306e\u5b9a\u7fa9\u306e\u5e30\u7d50\u3068\u3057\u3066\u30012\u3064\u306e\u5f0f\u304c\u610f\u5473\u8ad6\u7684\u306b\u540c\u5024\u3067\u3042\u308b\u3068\u306f\u3001\u305d\u308c\u3089\u304c\u540c\u3058\u771f\u7406\u5024\u3092\u6301\u3064\u3053\u3068\u3068\u540c\u5024\u3067\u3042\u308b<\/strong>\u3068\u3044\u3048\u307e\u3059\u3002<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b\uff1a<\/span><\/strong> \u771f\u7406\u5024\u8868\u3092\u7528\u3044\u3066\u3001<strong>\u5bfe\u79f0\u6027\u306b\u57fa\u3065\u304f\u610f\u5473\u8ad6\u7684\u540c\u5024<\/strong>\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\downarrow G) \\equiv (G\\downarrow F)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee G) \\equiv (G\\vee F)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G) \\equiv (G\\wedge F)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\leftrightarrow G) \\equiv (G\\leftrightarrow F)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\underline{\\vee} G) \\equiv (G\\underline{\\vee} F)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b\uff1a<\/span><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u304c\u4efb\u610f\u306e\u5f0f\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\top<\/span> \u304c\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\uff08\u6052\u771f\u5f0f\uff09\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\bot<\/span> \u304c\u77db\u76fe\uff08\u6052\u507d\u5f0f\uff09\u3067\u3042\u308b\u3068\u304d\u3001\u771f\u7406\u5024\u8868\u3092\u7528\u3044\u3066\u6b21\u306e\u610f\u5473\u8ad6\u7684\u540c\u5024\u304c\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\top) \\equiv F<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee \\top) \\equiv \\top<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\bot) \\equiv \\bot<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee \\bot) \\equiv F<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;\">\u3053\u308c\u3089\u306e\u540c\u5024\u306f\u3001<strong>\u5438\u53ce\u5f8b\uff08Absorption Laws\uff09<\/strong>\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b\uff1a<\/span><\/strong> \u547d\u984c\u8ad6\u7406\u306e\u610f\u5473\u8ad6\u306b\u304a\u3044\u3066\u306f\u3001\u9023\u8a00\u3068\u9078\u8a00\u306e<strong>\u5206\u914d\u5f8b\uff08Distributive Laws\uff09<\/strong>\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge (G\\vee H)) \\equiv ((F\\wedge G) \\vee (F\\wedge H))<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee (G\\wedge H)) \\equiv ((F\\vee G) \\wedge (F\\vee H))<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b\uff1a<\/span><\/strong> \u547d\u984c\u8ad6\u7406\u306e\u610f\u5473\u8ad6\u3067\u306f\u3001<strong>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\uff08DeMorgan Laws\uff09<\/strong>\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(F\\wedge G) \\equiv (\\neg F \\vee \\neg G)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(F\\vee G) \\equiv (\\neg F \\wedge \\neg G)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #880000;\">\u7df4\u7fd2\u554f\u984c\uff1a<\/span><\/strong> \u826f\u3044\u7df4\u7fd2\u3068\u3057\u3066\u3001\u771f\u7406\u5024\u8868\u3092\u4f7f\u3063\u3066\u5438\u53ce\u5f8b\u3001\u5206\u914d\u5f8b\u3001\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u6cd5\u5247\u306b\u304a\u3051\u308b\u610f\u5473\u8ad6\u7684\u540c\u5024\u304c\u5b9f\u969b\u306b\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u4f8b\uff1a<\/span><\/strong> \u6b21\u306e\u540c\u5024\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u610f\u5473\u8ad6\u7684\u540c\u5024\u3092\u4f7f\u3063\u3066\u8a3c\u660e\u3059\u308b\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">((C\\wedge D) \\vee A) \\wedge (C\\wedge D) \\vee B) \\wedge (E \\vee \\neg E))\\equiv ((A\\wedge B)\\vee(C\\wedge D))<\/span>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"color: #000000;\"><span style=\"color: #008800;\"><strong>\u89e3\u7b54\uff1a<\/strong><\/span> \u3053\u306e\u540c\u5024\u306f\u771f\u7406\u5024\u8868\u3092\u7528\u3044\u3066\u8a3c\u660e\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u3053\u306e\u5834\u5408\u30015\u3064\u306e\u547d\u984c\u5909\u6570\u3092\u542b\u3080\u305f\u3081 <span class=\"katex-eq\" data-katex-display=\"false\">2^5 = 32<\/span> \u884c\u306e\u771f\u7406\u5024\u8868\u3092\u4f5c\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u305d\u308c\u306f\u907f\u3051\u305f\u3044\u3068\u3053\u308d\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u308c\u307e\u3067\u306b\u78ba\u8a8d\u3057\u305f\u540c\u5024\u3092\u6d3b\u7528\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify;\">\u307e\u305a\u3001<span class=\"katex-eq\" data-katex-display=\"false\">(E\\vee \\neg E)<\/span> \u304c\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\uff08\u6052\u771f\u5f0f\uff09\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002\u3053\u306e\u30c8\u30fc\u30c8\u30ed\u30b8\u30fc\u3092 <span class=\"katex-eq\" data-katex-display=\"false\">\\top<\/span> \u3068\u8868\u8a18\u3057\u307e\u3057\u3087\u3046\u3002\u3059\u308b\u3068\u3001\u5438\u53ce\u5f8b\u3092\u7528\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">((C\\wedge D) \\vee A) \\wedge (C\\wedge D) \\vee B) \\wedge (E \\vee \\neg E)) \\equiv ((C\\wedge D) \\vee A) \\wedge (C\\wedge D) \\vee B)) <\/span>\n<p style=\"text-align: justify;\">\u6b21\u306b\u3001\u5206\u914d\u5f8b\u3092\u7528\u3044\u308b\u3068\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> ((C\\wedge D) \\vee A) \\wedge (C\\wedge D) \\vee B)) \\equiv ((C\\wedge D) \\vee (A\\wedge B))<\/span>\n<p style=\"text-align: justify;\">\u6700\u5f8c\u306b\u3001\u5bfe\u79f0\u6027\u3088\u308a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> ((C\\wedge D) \\vee (A\\wedge B)) \\equiv ((A\\wedge B) \\vee (C\\wedge D))<\/span>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3089\u306e\u540c\u5024\u3092\u9806\u306b\u9069\u7528\u3059\u308b\u3068\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">((C\\wedge D) \\vee A) \\wedge (C\\wedge D) \\vee B) \\wedge (E \\vee \\neg E)) \\equiv ((A\\wedge B) \\vee (C\\wedge D))<\/span>\n<p style=\"text-align: justify;\">\u3053\u308c\u304c\u8a3c\u660e\u3057\u305f\u304b\u3063\u305f\u547d\u984c\u3067\u3059\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p style=\"text-align: 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href=\"https:\/\/amzn.to\/3t6XASK\" target=\"_blank\" rel=\"noopener\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u610f\u5473\u8ad6\u7684\u5e30\u7d50\u3068\u540c\u5024 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