{"id":33933,"date":"2021-04-18T13:00:42","date_gmt":"2021-04-18T13:00:42","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33933"},"modified":"2025-08-01T02:36:03","modified_gmt":"2025-08-01T02:36:03","slug":"%e6%ad%a3%e8%a6%8f%e5%bd%a2%e3%81%a8%e3%81%9d%e3%81%ae%e6%80%a7%e8%b3%aa","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e6%ad%a3%e8%a6%8f%e5%bd%a2%e3%81%a8%e3%81%9d%e3%81%ae%e6%80%a7%e8%b3%aa\/","title":{"rendered":"\u6b63\u898f\u5f62\u3068\u305d\u306e\u6027\u8cea"},"content":{"rendered":"<p><center><\/p>\n<h1>\u6b63\u898f\u5f62\u3068\u305d\u306e\u6027\u8cea<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u8981\u7d04<\/strong><br \/><em>\u547d\u984c\u8ad6\u7406\u306f\u3001\u6570\u5b66\u304a\u3088\u3073\u60c5\u5831\u79d1\u5b66\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u30c4\u30fc\u30eb\u3067\u3042\u308b\u3002\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u6b63\u898f\u5f62\u306b\u95a2\u3059\u308b\u8208\u5473\u6df1\u304f\u6709\u7528\u306a\u7d50\u679c\u3092\u7d39\u4ecb\u3059\u308b\u3002\u305d\u306e\u305f\u3081\u306b\u3001\u30ea\u30c6\u30e9\u30eb\u3001\u9023\u8a00\u6b63\u898f\u5f62\uff08FNC\uff09\u3001\u9078\u8a00\u6b63\u898f\u5f62\uff08FND\uff09\u306e\u6982\u5ff5\u3092\u5b9a\u7fa9\u3059\u308b\u3002\u3055\u3089\u306b\u3001\u3059\u3079\u3066\u306e\u547d\u984c\u8ad6\u7406\u306e\u5f0f\u304cFND\u304a\u3088\u3073FNC\u306e\u5f62\u5f0f\u3068\u8ad6\u7406\u7684\u306b\u540c\u5024\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u300c\u6b63\u898f\u5f62\u306e\u5b9a\u7406\u300d\u3092\u8a3c\u660e\u3059\u308b\u3002\u8a3c\u660e\u306f\u3001\u5f0f\u306e\u8907\u96d1\u3055\u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u3001\u3059\u3079\u3066\u306e\u547d\u984c\u8ad6\u7406\u5f0f\u304cFND\u304a\u3088\u3073FNC\u306e\u5f62\u5f0f\u3067\u8a18\u8ff0\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u7acb\u3059\u308b\u3002\u672c\u8b1b\u7fa9\u306f\u3001\u547d\u984c\u8ad6\u7406\u306e\u57fa\u790e\u3092\u7406\u89e3\u3057\u3001\u305d\u308c\u3092\u69d8\u3005\u306a\u77e5\u8b58\u9818\u57df\u306b\u5fdc\u7528\u3059\u308b\u305f\u3081\u306b\u975e\u5e38\u306b\u6709\u7528\u3067\u3042\u308b\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u3053\u306e\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u3068\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002\n<\/p>\n<ol>\n<li><strong>\u60f3\u8d77\u3059\u308b<\/strong>\uff1a\u30ea\u30c6\u30e9\u30eb\u304a\u3088\u3073\u9023\u8a00\u6b63\u898f\u5f62\u30fb\u9078\u8a00\u6b63\u898f\u5f62\u306e\u5b9a\u7fa9\u3092\u601d\u3044\u51fa\u3059\u3002<\/li>\n<li><strong>\u8b58\u5225\u3059\u308b<\/strong>\uff1aFNC\u304a\u3088\u3073FND\u306b\u304a\u3051\u308b\u5f0f\u306e\u69cb\u9020\u3092\u8a8d\u8b58\u3059\u308b\u3002<\/li>\n<li><strong>\u6d3b\u7528\u3059\u308b<\/strong>\uff1a\u547d\u984c\u8ad6\u7406\u5f0f\u306e\u7c21\u7565\u5316\u306e\u305f\u3081\u306bFNC\u307e\u305f\u306fFND\u3092\u7528\u3044\u308b\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u76ee\u6b21<\/strong><br \/>\n<a href=\"#1\">\u30ea\u30c6\u30e9\u30eb\u306e\u5b9a\u7fa9<\/a><br \/>\n<a href=\"#2\">\u6b63\u898f\u5f62\u306e\u5b9a\u7fa9<\/a><br \/>\n<a href=\"#3\">\u6b63\u898f\u5f62\u306e\u5b9a\u7406<\/a><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/CrTcmmE4Q6c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p style=\"text-align: justify;\">\u547d\u984c\u8ad6\u7406\u306b\u304a\u3051\u308b\u8208\u5473\u6df1\u304f\u6709\u7528\u306a\u7d50\u679c\u306f\u3001\u6b63\u898f\u5f62\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u3089\u306e\u5185\u5bb9\u3092\u8a73\u3057\u304f\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u3044\u304f\u3064\u304b\u306e\u6982\u5ff5\u3092\u898b\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u30ea\u30c6\u30e9\u30eb\u306e\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=CrTcmmE4Q6c&amp;t=309s\" target=\"_blank\" rel=\"noopener\"><strong>\u30ea\u30c6\u30e9\u30eb\u3068\u306f\u3001<\/strong><\/a>\u4efb\u610f\u306e\u539f\u5b50\u7684\u8868\u73fe\u3001\u307e\u305f\u306f\u539f\u5b50\u7684\u8868\u73fe\u306e\u5426\u5b9a\u3067\u3042\u308b\u3002\u3053\u306e\u89b3\u70b9\u304b\u3089\u3001\u5426\u5b9a\u304c\u524d\u7f6e\u3055\u308c\u3066\u3044\u306a\u3044\u539f\u5b50\u7684\u8868\u73fe\u3092\u6b63\u30ea\u30c6\u30e9\u30eb\u3001\u5426\u5b9a\u304c\u524d\u7f6e\u3055\u308c\u305f\u3082\u306e\u3092\u8ca0\u30ea\u30c6\u30e9\u30eb\u3068\u547c\u3076\u3002\u4f8b\u3048\u3070\u3001<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u306f\u6b63\u30ea\u30c6\u30e9\u30eb\u3067\u3042\u308a\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg A<\/span><\/span> \u306f\u8ca0\u30ea\u30c6\u30e9\u30eb\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u6b63\u898f\u5f62\u306e\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=CrTcmmE4Q6c&amp;t=337s\" target=\"_blank\" rel=\"noopener\"><strong>\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u304c\u9023\u8a00\u6b63\u898f\u5f62\uff08FNC\uff09<\/strong><\/a>\u3067\u3042\u308b\u3068\u306f\u3001\u305d\u308c\u304c\u30ea\u30c6\u30e9\u30eb\u306e\u9078\u8a00\u306e\u9023\u8a00\u3068\u3057\u3066\u8868\u73fe\u3067\u304d\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u3002\u3059\u306a\u308f\u3061\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F=\\bigwedge_{i=1}^n \\left( \\bigvee_{j=1}^m L_{ij}\\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u540c\u69d8\u306b\u3001\u30ea\u30c6\u30e9\u30eb\u306e\u9023\u8a00\u306e\u9078\u8a00\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u9078\u8a00\u6b63\u898f\u5f62\uff08FND\uff09\u3067\u3042\u308b\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F=\\bigvee_{i=1}^n \\left(\\bigwedge_{j=1}^m L_{ij}\\right)<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6b63\u898f\u5f62\u306e\u5b9a\u7406<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=CrTcmmE4Q6c&amp;t=446s\" target=\"_blank\" rel=\"noopener\"><strong>\u547d\u984c\u8ad6\u7406\u306e\u3059\u3079\u3066\u306e\u5f0f\u306f\u3001<\/strong><\/a>FND\u306e\u5f0f\u304a\u3088\u3073FNC\u306e\u5f0f\u3068\u540c\u5024\u3067\u3042\u308b\u3002<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000080;\"><strong>\u8a3c\u660e\uff1a<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">\u3053\u308c\u306f\u3001\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u306e\u8907\u96d1\u3055\u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u8a3c\u660e\u3067\u304d\u308b\u3002<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>\u57fa\u672c\u306e\u5834\u5408\uff1a<\/strong><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span> \u304c\u539f\u5b50\u7684\u8868\u73fe\u3067\u3042\u308b\u306a\u3089\u3070\u3001\u305d\u308c\u306f\u540c\u6642\u306bFNC\u304a\u3088\u3073FND\u306e\u5f62\u5f0f\u3067\u66f8\u3051\u308b\u3002\u306a\u305c\u306a\u3089\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\equiv F_D \\equiv F_C<\/span><\/span> \u3068\u306a\u308a\u3001\u3053\u3053\u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_C:=((F\\vee F)\\wedge (F\\vee F)) <\/span><\/span>\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_D:=((F\\wedge F)\\vee (F\\wedge F)) <\/span><\/span> \u3067\u3042\u308b\u3002<\/li>\n<li><strong>\u5e30\u7d0d\u30b9\u30c6\u30c3\u30d7\uff1a<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">G<\/span> \u304a\u3088\u3073 <span class=\"katex-eq\" data-katex-display=\"false\">H<\/span> \u304c\u4efb\u610f\u306e\u547d\u984c\u8ad6\u7406\u5f0f\u3067\u3042\u308a\u3001\u305d\u308c\u3089\u306b\u5bfe\u3057\u3066\u3053\u306e\u5b9a\u7406\u306e\u7d50\u679c\u304c\u6210\u308a\u7acb\u3064\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3059\u306a\u308f\u3061\u3001FNC \u306b\u304a\u3051\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">H_C<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G_C<\/span><\/span>\u3001FND \u306b\u304a\u3051\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">H_D<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G_D<\/span><\/span> \u304c\u5b58\u5728\u3057\u3066\uff1a\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G\\equiv G_D \\equiv G_C<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">H\\equiv H_D \\equiv H_C<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u73fe\u3067\u304d\u308b\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle G_D := \\bigvee_{i=1}^n \\bigwedge_{j=1}^m L_{ij}^{GD}<\/span><\/span> ; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle G_C := \\bigwedge_{i=1}^n \\bigvee_{j=1}^m L_{ij}^{GC}<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle H_D := \\bigvee_{i=1}^n \\bigwedge_{j=1}^m L_{ij}^{HD}<\/span><\/span> ; <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle H_C := \\bigwedge_{i=1}^n \\bigvee_{j=1}^m L_{ij}^{HC}<\/span><\/span><\/p>\n<p>\u4e00\u822c\u6027\u3092\u5931\u3046\u3053\u3068\u306a\u304f\u3001\u3082\u3057 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F:= \\neg G<\/span><\/span> \u3067\u3042\u308b\u306a\u3089\u3070\u3001<strong>\u7f6e\u63db\u5b9a\u7406<\/strong>\u304a\u3088\u3073<strong>\u30c9\u30fb\u30e2\u30eb\u30ac\u30f3\u306e\u4e00\u822c\u5316\u6cd5\u5247<\/strong>\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\uff1a<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F:= \\neg G \\equiv \\left\\{ \\begin{matrix}\n\n\\neg G_D := \\neg \\bigvee_{i=1}^n \\bigwedge_{j=1}^m L_{ij}^{GD} \\equiv\\bigwedge_{i=1}^n \\neg \\bigwedge_{j=1}^m L_{ij}^{GD} \\equiv \\bigwedge_{i=1}^n \\bigvee_{j=1}^m \\neg L_{ij}^{GD} \\\\ \\\\ \\neg G_C := \\neg \\bigwedge_{i=1}^n \\bigvee_{j=1}^m L_{ij}^{GC} \\equiv \\bigvee_{i=1}^n \\neg \\bigvee_{j=1}^m L_{ij}^{GC} \\equiv \\bigvee_{i=1}^n \\bigwedge_{j=1}^m \\neg L_{ij}^{GC} \\end{matrix}\\right. <\/span>\n<p>\u4e00\u65b9\u3067\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F:=G\\wedge H<\/span><\/span> \u306e\u5834\u5408\u3001\u7f6e\u63db\u5b9a\u7406\u306b\u3088\u308a\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F:=G\\wedge H \\equiv G_C \\wedge H_C := \\bigwedge_{i=1}^n \\bigvee_{j=1}^m L_{ij}^{GC} \\wedge \\bigwedge_{i=1}^{n^\\prime} \\bigvee_{j=1}^{m^\\prime} L_{ij}^{HC} <\/span><\/span><\/p>\n<p>\u3053\u308c\u306f\u9023\u8a00\u6b63\u898f\u5f62\uff08FNC\uff09\u3067\u3042\u308b\u3002\u305d\u3057\u3066\u5168\u304f\u540c\u69d8\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F:=H\\vee G<\/span><\/span> \u3067\u3042\u308b\u306a\u3089\u3070\uff1a<\/p>\n<p style=\"text-align: justify;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F:=G\\wedge H \\equiv G_D \\vee H_D := \\bigvee_{i=1}^n \\bigwedge_{j=1}^m L_{ij}^{GD} \\vee \\bigvee_{i=1}^{\\overline{n}} \\bigwedge_{j=1}^{\\overline{m}} L_{ij}^{HD} <\/span><\/span><\/p>\n<p>\u3064\u307e\u308a\u3001\u9078\u8a00\u6b63\u898f\u5f62\uff08FND\uff09\u3067\u3042\u308b\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5e30\u7d0d\u6cd5\u306f\u5b8c\u7d50\u3057\u3066\u304a\u308a\u3001\u547d\u984c\u8ad6\u7406\u306e\u3059\u3079\u3066\u306e\u5f0f\u306fFND\u304a\u3088\u3073FNC\u306e\u5f62\u5f0f\u3067\u8868\u73fe\u53ef\u80fd\u3067\u3042\u308b\u3002\n<\/li>\n<\/ul>\n<p style=\"text-align: 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