{"id":28062,"date":"2021-03-08T13:00:59","date_gmt":"2021-03-08T13:00:59","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28062"},"modified":"2024-08-18T10:09:27","modified_gmt":"2024-08-18T10:09:27","slug":"%d8%a7%d9%84%d8%b9%d8%a7%d9%82%d8%a8%d8%a9-%d9%88%d8%a7%d9%84%d8%aa%d9%83%d8%a7%d9%81%d8%a4-%d8%a7%d9%84%d8%af%d9%84%d8%a7%d9%84%d9%8a","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d8%b9%d8%a7%d9%82%d8%a8%d8%a9-%d9%88%d8%a7%d9%84%d8%aa%d9%83%d8%a7%d9%81%d8%a4-%d8%a7%d9%84%d8%af%d9%84%d8%a7%d9%84%d9%8a\/","title":{"rendered":"\u0627\u0644\u0639\u0627\u0642\u0628\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u0627\u0644\u0645\u0644\u062e\u0635<\/strong><br \/><em>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u0646\u062f\u0631\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a\u060c \u0648\u0647\u0648 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0637\u0628\u064a\u0639\u064a \u0644\u0645\u0627 \u062f\u0631\u0633\u0646\u0627\u0647 \u0633\u0627\u0628\u0642\u064b\u0627. \u0633\u0646\u062a\u0639\u0644\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0635\u0627\u062f\u0642\u0629 \u0648\u0643\u064a\u0641 \u064a\u0631\u062a\u0628\u0637 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0646\u0634\u0627\u0647\u062f \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0645\u0641\u064a\u062f\u0629 \u0645\u062b\u0644 \u062d\u0630\u0641 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0646 \u0648\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0641\u0635\u0644. \u0633\u0646\u0633\u062a\u0643\u0634\u0641 \u0623\u064a\u0636\u064b\u0627 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0648\u0633\u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u064a \u0646\u0639\u0631\u0641\u0647\u0627 \u0628\u0627\u0644\u0641\u0639\u0644. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0633\u0646\u0648\u0636\u062d \u0643\u064a\u0641 \u0623\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0628\u0633\u0637 \u062f\u0631\u0627\u0633\u0629 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a.<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:<\/strong><br \/>\n\u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649\n<\/p>\n<ol>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0644\u0631\u0645\u0632 \u22a8.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0625\u062b\u0628\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0641\u064a \u0646\u0633\u062e\u062a\u0647\u0627 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a.<\/li>\n<li><strong>\u0641\u0647\u0645<\/strong> \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0648\u0639\u0644\u0627\u0642\u062a\u0647 \u0628\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0635\u0627\u062f\u0642\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0641\u064a \u0646\u0633\u062e\u062a\u0647\u0627 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0644\u062a\u062d\u0648\u064a\u0644 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0625\u0644\u0649 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0641\u064a\u062f\u0629 \u0641\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0644\u0625\u062b\u0628\u0627\u062a \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629.<\/li>\n<li><strong>\u062a\u0637\u0628\u064a\u0642<\/strong> \u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0627\u0645\u062a\u0635\u0627\u0635\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u0642\u0648\u0627\u0646\u064a\u0646 \u062f\u064a \u0645\u0648\u0631\u063a\u0627\u0646 \u0641\u064a \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u0639\u0642\u062f\u0629.<\/li>\n<li><strong>\u062a\u062d\u0644\u064a\u0644<\/strong> \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0627\u062a \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0627\u0644\u0641\u0647\u0631\u0633<\/strong><br \/>\n<a href=\"#1\">\u0627\u0644\u062a\u0639\u064a\u064a\u0646\u0627\u062a \u0648\u0627\u0644\u0646\u0645\u0627\u0630\u062c<\/a><br \/>\n<a href=\"#2\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c (\u0627\u0644\u0646\u0633\u062e\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629)<\/a><br \/>\n<a href=\"#3\">\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a<\/a><br \/>\n<a href=\"#4\">\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635<\/a><br \/>\n<a href=\"#5\">\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/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; color: #000000;\">\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0647\u0648 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0637\u0628\u064a\u0639\u064a \u0644\u0645\u0627 \u0641\u0639\u0644\u0646\u0627\u0647 \u0639\u0646\u062f \u0645\u0631\u0627\u062c\u0639\u0629 <a href=\"https:\/\/toposuranos.com\/semantica-de-la-logica-proposicional\/\" rel=\"noopener\" target=\"_blank\">\u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a<\/a>. \u0627\u0644\u0622\u0646 \u0633\u0646\u0631\u0627\u062c\u0639 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0635\u0627\u062f\u0642\u0629 \u0648\u0643\u064a\u0641 \u064a\u0646\u0634\u0623 \u0645\u0646 \u0647\u0630\u0627 \u0628\u0634\u0643\u0644 \u0637\u0628\u064a\u0639\u064a \u0646\u0633\u062e\u0629 \u062f\u0644\u0627\u0644\u064a\u0629 \u0645\u0646 <a href=\"https:\/\/toposuranos.com\/tecnicas-deduccion-logica-proposicional\/\" rel=\"noopener\" target=\"_blank\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c<\/a>. \u0645\u0646 \u0647\u0630\u0627 \u0633\u064a\u062a\u0645 \u0639\u0631\u0636 \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0641\u064a\u062f\u0629. \u064a\u0645\u0643\u0646\u0643 \u0645\u0634\u0627\u0647\u062f\u0629 \u0643\u0644 \u0647\u0630\u0627 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 <a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY\" rel=\"noopener\" target=\"_blank\">\u0642\u0646\u0627\u0629 \u0627\u0644\u064a\u0648\u062a\u064a\u0648\u0628<\/a>.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u0627\u0644\u062a\u0639\u064a\u064a\u0646\u0627\u062a \u0648\u0627\u0644\u0646\u0645\u0627\u0630\u062c<\/h2>\n<p style=\"text-align: justify; color: #000000;\">\u0644\u0646\u0628\u062f\u0623 \u0623\u0648\u0644\u0627\u064b \u0628\u062a\u0639\u0631\u064a\u0641 \u0636\u0631\u0648\u0631\u064a \u0644\u0644\u062a\u0637\u0648\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0633\u0646\u0631\u0627\u0647\u0627 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629\u060c \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629.<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u0627\u0644\u062a\u0639\u0631\u064a\u0641:<\/strong><\/span> \u0627\u0644\u062a\u0639\u0628\u064a\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u0647\u0648 <strong>\u0646\u062a\u064a\u062c\u0629 \u062f\u0644\u0627\u0644\u064a\u0629<\/strong> \u0644\u062a\u0639\u0628\u064a\u0631 \u0622\u062e\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0643\u0644 \u062a\u0639\u064a\u064a\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u064a\u0643\u0648\u0646 \u0641\u064a\u0647 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models F \\Rightarrow \\mathcal{A}\\models G<\/span><\/span>. \u0646\u062d\u0646 \u0646\u0639\u0628\u0631 \u0639\u0646 \u0630\u0644\u0643 \u0628\u0643\u062a\u0627\u0628\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span> \u0648\u0646\u0642\u0631\u0623\u0647 \u00ab\u0627\u0644\u062a\u0639\u0628\u064a\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u064a\u0639\u0628\u0631 \u0639\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span>\u00bb \u0623\u0648 \u00ab<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u0647\u0648 \u0646\u062a\u064a\u062c\u0629 \u062f\u0644\u0627\u0644\u064a\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span>.\u00bb<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0639 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0641\u064a \u0627\u0644\u064a\u062f\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0631\u0645\u0632 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models<\/span><\/span> \u0644\u0647 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0642\u0631\u0627\u0621\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u062d\u0633\u0628 \u0627\u0644\u0633\u064a\u0627\u0642:<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models F<\/span><\/span> \u064a\u0639\u0646\u064a \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}(F) = 1<\/span><\/span>\u061b \u0623\u064a \u0623\u0646 \u00ab<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}<\/span><\/span> \u064a\u0639\u0628\u0631 \u0639\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span>\u00ab.<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G \\models F<\/span><\/span> \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u064a \u062a\u0639\u064a\u064a\u0646 \u064a\u0639\u0628\u0631 \u0639\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span>\u060c \u0641\u0625\u0646\u0647 \u064a\u0639\u0628\u0631 \u0623\u064a\u0636\u064b\u0627 \u0639\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0648\u0646\u0642\u0631\u0623\u0647 \u0639\u0644\u0649 \u0623\u0646\u0647 \u00ab<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0647\u0648 \u0646\u062a\u064a\u062c\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span>.\u00bb<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models F<\/span><\/span> \u064a\u0639\u0646\u064a \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u064a\u0635\u0645\u062f \u0641\u064a \u0643\u0644 \u062a\u0639\u064a\u064a\u0646\u061b \u0623\u064a \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0647\u0648 \u062a\u0643\u0631\u0627\u0631.<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0647\u0643\u0630\u0627\u060c \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0627\u0644\u0631\u0645\u0632 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models<\/span><\/span> \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0647 \u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629\u060c \u0625\u0644\u0627 \u0623\u0646 \u0627\u0644\u0633\u064a\u0627\u0642 \u0644\u064a\u0633 \u063a\u0627\u0645\u0636\u064b\u0627.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0642\u0631\u064a\u0628 \u0645\u0646 \u0645\u0641\u0647\u0648\u0645 \u00ab\u0627\u0644\u0636\u0645\u0646\u064a\u0629\u00bb \u0627\u0644\u0630\u064a \u0631\u0627\u062c\u0639\u0646\u0627\u0647 \u0633\u0627\u0628\u0642\u064b\u0627\u060c \u0628\u0645\u0639\u0646\u0649 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span> \u0635\u062d\u064a\u062d\u064b\u0627\u060c \u0641\u0625\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models (F\\rightarrow G)<\/span><\/span> \u0635\u062d\u064a\u062d \u0623\u064a\u0636\u064b\u0627. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0647\u0630\u0627 \u064a\u0634\u0628\u0647 \u062c\u062f\u064b\u0627 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0642\u0628\u0644 \u0639\u062f\u0629 \u062f\u0631\u0648\u0633.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c (\u0627\u0644\u0646\u0633\u062e\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629)<\/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;\">\u0645\u0634\u0627\u0647\u062f\u0629<\/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>\u0627\u0644\u0646\u0638\u0631\u064a\u0629:<\/strong><\/span> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0648 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0639\u0634\u0648\u0627\u0626\u064a\u0629\u060c \u0641\u0625\u0646 <\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> F\\models G \\Leftrightarrow \\models (F\\rightarrow G) <\/span><\/span><\/p>\n<p>\u0635\u062d\u064a\u062d\u0629.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;\"><span style=\"color: #0000aa;\"><strong>\u0627\u0644\u0628\u0631\u0647\u0627\u0646:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">\u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0628\u0631\u0647\u0627\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0633\u0647\u0648\u0644\u0629 \u0628\u0645\u0644\u0627\u062d\u0638\u0629 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629.<\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G):=(\\neg F \\vee G)<\/span><\/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;\">\u0625\u0630\u0627 \u0631\u0643\u0632\u0646\u0627 \u0639\u0644\u0649 \u0645\u0639\u0646\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span>\u060c \u0633\u0646\u0631\u0649 \u0623\u0646 \u0647\u0630\u0627 \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0642\u0648\u0644 \u0628\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models F \\Rightarrow \\mathcal{A}\\models G<\/span><\/span>\u060c \u0648\u0647\u0648 \u0646\u0641\u0633 \u0627\u0644\u0634\u064a\u0621 \u0645\u062b\u0644 \u0627\u0644\u0642\u0648\u0644 \u0628\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\not\\models F \\vee \\mathcal{A}\\models G<\/span><\/span>. \u0627\u0644\u0622\u0646\u060c \u0625\u0630\u0627 \u0644\u0627\u062d\u0638\u0646\u0627 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\not\\models F<\/span><\/span> \u0647\u0648 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0646\u0641\u0633 \u0627\u0644\u0634\u064a\u0621 \u0645\u062b\u0644 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A}\\models \\neg F<\/span><\/span>\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span> \u064a\u0639\u0627\u062f\u0644 \u0627\u0644\u0642\u0648\u0644 \u0628\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models \\neg F \\vee \\mathcal{A}\\models G<\/span><\/span>. \u0627\u0644\u0622\u0646\u060c \u0625\u0630\u0627 \u0635\u0646\u0639\u0646\u0627 \u062c\u062f\u0648\u0644\u064b\u0627 \u0644\u0644\u062d\u0642\u064a\u0642\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F \\rightarrow G<\/span><\/span> \u0648\u0648\u0636\u0639\u0646\u0627 \u0639\u0644\u0627\u0645\u0629 <span style=\"color: #008800;\"><strong>\u062e\u0636\u0631\u0627\u0621<\/strong><\/span> \u0639\u0644\u0649 \u0627\u0644\u0645\u0646\u0637\u0642\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u0642\u0642 \u0641\u064a\u0647\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mathcal{A} \\models \\neg F \\vee \\mathcal{A}\\models G<\/span><\/span>\u060c \u0641\u0625\u0646\u0646\u0627 \u0633\u0646\u0631\u0649 \u0627\u0644\u062a\u0627\u0644\u064a:<\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #dddddd;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G):=(\\neg F \\vee G)<\/span><\/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; color: #000000;\">\u0648\u0645\u0646 \u0647\u0646\u0627 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span> \u062f\u0627\u0626\u0645\u064b\u0627 \u064a\u062d\u062f\u062b \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\models (F \\rightarrow G)<\/span><\/span>\u060c \u0648\u0627\u0644\u0639\u0643\u0633 \u0635\u062d\u064a\u062d\u060c \u0648\u0647\u0630\u0627 \u0644\u064a\u0633 \u0633\u0648\u0649 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0639\u0643\u0648\u0633 \u0627\u0644\u062f\u0644\u0627\u0644\u064a.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\">\u0627\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u0646\u062a\u064a\u062c\u0629 \u0644\u062a\u0639\u0628\u064a\u0631 \u0622\u062e\u0631 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span>. \u0633\u0646\u0634\u064a\u0631 \u0625\u0644\u0649 \u0647\u0630\u0627 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647 <strong>\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/strong> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629\u060c \u064a\u0645\u0643\u0646 \u062a\u062d\u0648\u064a\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0625\u0644\u0649 <strong>\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629<\/strong>\u060c \u0644\u0623\u0646 \u00ab<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u0647\u0648 \u0646\u062a\u064a\u062c\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0625\u0630\u0627 \u0648\u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow G)<\/span><\/span> \u0646\u0638\u0631\u064a\u0629\u00bb.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=vjkzDxbG8LY&amp;t=796s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629<\/span><\/strong><\/a> \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u064a \u062a\u0630\u0643\u0631\u0646\u0627 \u0628\u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u064a \u0631\u0623\u064a\u0646\u0627\u0647\u0627 \u0641\u064a \u0627\u0644\u0645\u0627\u0636\u064a.<\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td colspan=\"2\" style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u0625\u0638\u0647\u0627\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0623\u0646 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0635\u062d\u064a\u062d\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u062d\u0630\u0641 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0646:<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G)\\models F<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0641\u0635\u0644:<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models (F\\vee G)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u062a\u0646\u0627\u0642\u0636:<\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge\\neg F)\\models G<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><span style=\"color: #008800;\"><strong>\u0627\u0644\u062d\u0644:<\/strong><\/span><span style=\"color: #000000;\"> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u062a\u064a \u0627\u0633\u062a\u0639\u0631\u0636\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0648\u064a\u0644 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0625\u0644\u0649 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629.<\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0644\u062d\u0644 \u0645\u0634\u0643\u0644\u0629 <strong>\u062d\u0630\u0641 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0646<\/strong>\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0639\u062f\u0627\u062f \u062c\u062f\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0627\u0644\u062a\u0627\u0644\u064a<\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge G) \\rightarrow F)<\/span><\/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; color: #000000;\">\u0628\u0647\u0630\u0627 \u0646\u062b\u0628\u062a \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge G)\\rightarrow F)<\/span><\/span> \u0647\u0648 \u0639\u0628\u0627\u0631\u0629 \u062b\u0627\u0628\u062a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0628\u0627\u062a\u0628\u0627\u0639 \u0639\u0643\u0633 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G) \\models F<\/span><\/span>.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u064a\u062a\u0645 \u062d\u0644 <strong>\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0641\u0635\u0644<\/strong> \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u0645\u0627\u062b\u0644\u0629 \u0628\u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 \u062d\u0642\u064a\u0642\u0629 \u0645\u0646\u0627\u0633\u0628<\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee G)<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow(F\\vee G))<\/span><\/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; color: #000000;\">\u0647\u0646\u0627 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\rightarrow (F\\vee G))<\/span><\/span> \u0647\u0648 \u0639\u0628\u0627\u0631\u0629 \u062b\u0627\u0628\u062a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u062d\u0633\u0628 \u0639\u0643\u0633 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models (F\\vee G)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u062a\u0645 \u0625\u062b\u0628\u0627\u062a \u062e\u0627\u0635\u064a\u0629 <strong>\u0627\u0644\u062a\u0646\u0627\u0642\u0636<\/strong> \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0641\u0633 \u0627\u0644\u0637\u0631\u064a\u0642\u0629<\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg F<\/span><\/span><\/td>\n<td style=\"text-align: center; background-color: #bbbbbb;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\neg F)<\/span><\/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 dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge \\neg F)\\rightarrow G)<\/span><\/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; color: #000000;\">\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627 \u062c\u062f\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629\u060c \u0623\u062b\u0628\u062a\u0646\u0627 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">((F\\wedge \\neg F)\\rightarrow G)<\/span><\/span> \u0647\u0648 \u0639\u0628\u0627\u0631\u0629 \u062b\u0627\u0628\u062a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u062d\u0633\u0628 \u0639\u0643\u0633 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\neg F)\\models G<\/span><\/span>.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635<\/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;\">\u0645\u0634\u0627\u0647\u062f\u0629<\/span><\/a>]<\/strong><\/span><\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify; color: #000000;\"><span style=\"color: #880000;\"><strong>\u0627\u0644\u062a\u0639\u0631\u064a\u0641:<\/strong><\/span> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\models G<\/span><\/span> \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G\\models F<\/span><\/span> \u0635\u062d\u064a\u062d\u064a\u0646 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0648\u0642\u062a\u060c \u0641\u0646\u0642\u0648\u0644 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">G<\/span><\/span> \u0645\u062a\u0643\u0627\u0641\u0626\u064a\u0646 \u062f\u0644\u0627\u0644\u064a\u064b\u0627 \u0645\u0639\u064b\u0627. \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644 \u0630\u0644\u0643 \u0628\u0643\u062a\u0627\u0628\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F\\equiv G<\/span><\/span>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color: #000000;\"><strong>\u0646\u062a\u064a\u062c\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u0646 \u0645\u062a\u0643\u0627\u0641\u0626\u064a\u0646 \u062f\u0644\u0627\u0644\u064a\u064b\u0627 \u0625\u0630\u0627 \u0648\u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0635\u0627\u062f\u0642\u0629.<\/strong><\/p>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td style=\"text-align: justify;\"><strong><span style=\"color: #000088;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u064a\u0645\u0643\u0646 \u0625\u0638\u0647\u0627\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0623\u0646 \u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0627\u0644\u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u062a\u0646\u0627\u0638\u0631\u0629 \u0635\u062d\u064a\u062d\u0629.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\downarrow G) \\equiv (G\\downarrow F)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee G) \\equiv (G\\vee F)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge G) \\equiv (G\\wedge F)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\leftrightarrow G) \\equiv (G\\leftrightarrow F)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\underline{\\vee} G) \\equiv (G\\underline{\\vee} F)<\/span><\/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;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F<\/span><\/span> \u062a\u0639\u0628\u064a\u0631\u064b\u0627 \u0639\u0634\u0648\u0627\u0626\u064a\u064b\u0627\u060c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\top<\/span><\/span> \u0647\u0648 \u062a\u0639\u0628\u064a\u0631 \u062b\u0627\u0628\u062a \u0648<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\bot<\/span><\/span> \u0647\u0648 \u062a\u0639\u0628\u064a\u0631 \u0645\u062a\u0646\u0627\u0642\u0636\u060c \u0641\u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629:<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\top) \\equiv F<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee \\top) \\equiv \\top<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge \\bot) \\equiv \\bot<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee \\bot) \\equiv F<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: justify;\">\u0647\u0630\u0647 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u062a\u0639\u0631\u0641 \u0628\u0640 <strong>\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0627\u0645\u062a\u0635\u0627\u0635<\/strong>.<\/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;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u0641\u064a \u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a\u060c \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u064a\u0629 \u0644\u0644\u0627\u0642\u062a\u0636\u0627\u0621 \u0648\u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0635\u062d\u064a\u062d\u0629 \u0623\u064a\u0636\u064b\u0627.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\wedge (G\\vee H)) \\equiv ((F\\wedge G) \\vee (F\\wedge H))<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(F\\vee (G\\wedge H)) \\equiv ((F\\vee G) \\wedge (F\\vee H))<\/span><\/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;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u0641\u064a \u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a\u060c \u0642\u0648\u0627\u0646\u064a\u0646 \u062f\u064a \u0645\u0648\u0631\u063a\u0627\u0646 \u0635\u062d\u064a\u062d\u0629 \u0623\u064a\u0636\u064b\u0627.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(F\\wedge G) \\equiv (\\neg F \\vee \\neg G)<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\neg(F\\vee G) \\equiv (\\neg F \\wedge \\neg G)<\/span><\/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;\">\u062a\u0645\u0631\u064a\u0646:<\/span><\/strong> \u062a\u0645\u0631\u064a\u0646 \u062c\u064a\u062f \u0647\u0648 \u0625\u062b\u0628\u0627\u062a \u0623\u0646 \u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0627\u0645\u062a\u0635\u0627\u0635\u060c \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0648\u0642\u0648\u0627\u0646\u064a\u0646 \u062f\u064a \u0645\u0648\u0631\u063a\u0627\u0646 \u0635\u062d\u064a\u062d\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629.<\/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;\">\u0645\u062b\u0627\u0644:<\/span><\/strong> \u0625\u062b\u0628\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0623\u0646 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062a\u0627\u0644\u064a \u0635\u062d\u064a\u062d:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><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><\/span>.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"color: #000000;\"><span style=\"color: #008800;\"><strong>\u0627\u0644\u062d\u0644:<\/strong><\/span> \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0627 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629\u060c \u0648\u0644\u0643\u0646 \u0625\u0630\u0627 \u0641\u0639\u0644\u0646\u0627 \u0630\u0644\u0643\u060c \u0633\u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u062a\u0639\u0628\u064a\u0631 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 5 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0642\u062a\u0631\u0627\u062d\u064a\u0629\u060c \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0625\u0646\u0634\u0627\u0621 \u062c\u062f\u0648\u0644 \u062d\u0642\u064a\u0642\u0629 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">2^5 = 32<\/span><\/span> \u0635\u0641\u064b\u0627\u060c \u0645\u0645\u0627 \u064a\u0641\u0636\u0644 \u062a\u062c\u0646\u0628\u0647. \u0644\u062a\u062d\u0642\u064a\u0642 \u0630\u0644\u0643\u060c \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0627\u0644\u062a\u064a \u0623\u0638\u0647\u0631\u0646\u0627\u0647\u0627 \u0628\u0627\u0644\u0641\u0639\u0644.<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0623\u0648\u0644\u0627\u064b\u060c \u0644\u0627\u062d\u0638 \u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(E\\vee \\neg E)<\/span><\/span> \u0647\u0648 \u062a\u0639\u0628\u064a\u0631 \u062b\u0627\u0628\u062a. \u0633\u0646\u0631\u0645\u0632 \u0625\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062b\u0627\u0628\u062a \u0628\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\top<\/span><\/span>. \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0627\u0645\u062a\u0635\u0627\u0635 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><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><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u064a\u0629 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><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><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\"> ((C\\wedge D) \\vee (A\\wedge B)) \\equiv ((A\\wedge B) \\vee (C\\wedge D))<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u0627\u062a \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><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><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u0648\u0647\u0630\u0627 \u0645\u0627 \u0623\u0631\u062f\u0646\u0627 \u0625\u062b\u0628\u0627\u062a\u0647.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/h2>\n<p style=\"text-align: justify; color: #000000;\">\u0625\u0630\u0627 \u0644\u0627\u062d\u0638\u0646\u0627 \u062a\u0637\u0648\u0631 \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u0623\u062e\u064a\u0631\u060c \u0633\u0646\u0631\u0649 \u0623\u0646\u0647 \u0645\u0639 \u0632\u064a\u0627\u062f\u0629 \u0639\u062f\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a\u060c \u062a\u0632\u062f\u0627\u062f \u062a\u0639\u0642\u064a\u062f \u062f\u0631\u0627\u0633\u0629 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0628\u0634\u0643\u0644 \u0643\u0628\u064a\u0631 \u0625\u0630\u0627 \u0627\u0639\u062a\u0645\u062f\u0646\u0627 \u0639\u0644\u0649 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0631\u0623\u064a\u0646\u0627 \u0623\u0646 \u062a\u0637\u0648\u0631 \u0641\u0643\u0631\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0623\u0638\u0647\u0631 \u0634\u064a\u0626\u064b\u0627 \u0645\u0634\u0627\u0628\u0647\u064b\u0627 \u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u062a\u064a \u062f\u0631\u0633\u0646\u0627\u0647\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0628\u0627\u0644\u062a\u0641\u0635\u064a\u0644. \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0627\u062a \u0647\u064a \u0645\u0627 \u0633\u0646\u0631\u0627\u0647 \u0642\u0631\u064a\u0628\u064b\u0627\u060c \u0648\u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0627\u062b\u0646\u064a\u0646 \u0633\u064a\u0643\u0648\u0646 \u0645\u0627 \u064a\u0648\u0641\u0631 \u0644\u0646\u0627 \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u062a\u0627\u0639\u0628 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0646\u0637\u0642.<a href=\"https:\/\/amzn.to\/3t6XASK\" target=\"_blank\" rel=\"noopener\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0627\u0644\u0645\u0644\u062e\u0635\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0633\u060c \u0633\u0646\u062f\u0631\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u062d\u064a\u060c \u0648\u0647\u0648 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0637\u0628\u064a\u0639\u064a \u0644\u0645\u0627 \u062f\u0631\u0633\u0646\u0627\u0647 \u0633\u0627\u0628\u0642\u064b\u0627. \u0633\u0646\u062a\u0639\u0644\u0645 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0635\u0627\u062f\u0642\u0629 \u0648\u0643\u064a\u0641 \u064a\u0631\u062a\u0628\u0637 \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0646\u0634\u0627\u0647\u062f \u0623\u0645\u062b\u0644\u0629 \u0639\u0645\u0644\u064a\u0629 \u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0645\u0641\u064a\u062f\u0629 \u0645\u062b\u0644 \u062d\u0630\u0641 \u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0646 \u0648\u0625\u062f\u062e\u0627\u0644 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28055,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":10,"footnotes":""},"categories":[625,611,565],"tags":[],"class_list":["post-28062","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-625","category-611","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0627\u0644\u0639\u0627\u0642\u0628\u0629 \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u062f\u0644\u0627\u0644\u064a - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u0627\u0644\u0639\u0627\u0642\u0628\u0629 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