{"id":1172,"date":"2014-11-11T07:29:49","date_gmt":"2014-11-10T22:29:49","guid":{"rendered":"http:\/\/www.nil.co.jp\/Japanese\/blog\/?p=1172"},"modified":"2014-11-11T07:29:49","modified_gmt":"2014-11-10T22:29:49","slug":"kaos-92-%e9%81%8e%e7%a8%8b%e3%83%99%e3%83%bc%e3%82%b9%e3%81%ae%e4%bb%95%e6%a7%98-4-4-2-4","status":"publish","type":"post","link":"https:\/\/www.nil.co.jp\/Japanese\/blog\/?p=1172","title":{"rendered":"KAOS (92) \u904e\u7a0b\u30d9\u30fc\u30b9\u306e\u4ed5\u69d8 (4.4.2-4)"},"content":{"rendered":"

\u6f14\u7b97\u5b50\u306e\u7d9a\u304d\u3067\u3042\u308b\uff0e<\/p>\n

\u300c\u4ee5\u5f8c(henceforth)\u300d\u6f14\u7b97\u5b50 \u25a1<\/strong><\/p>\n

(\u03c3, j)\u00a0\u22a7 \u25a1p \u00a0 iff \u00a0 (\u03c3, k) \u22a7\u00a0p for all k\u00a0\u2265\u00a0j.<\/span><\/p>\n

\u3053\u308c\u3068\u3044\u3063\u305f\u8a33\u8a9e\u304c\u306a\u3044\uff0e\u300c\u305a\u3063\u3068 p \u3067\u3042\u308b\u300d\u3068\u3044\u3063\u305f\u610f\u5473\u306b\u306a\u308b\uff0e<\/p>\n

\u3053\u306e\u8a18\u53f7\u306f\uff0c\u69d8\u76f8\u8ad6\u7406\u3067\u306f\uff0c\u300c\u5fc5\u7136\u300d\u3067\u3042\u3063\u305f\uff0e\u5fc5\u7136\u3068\u3044\u3046\u3053\u3068\u3070\u306f\uff0c\u300c\u301c\u3057\u3066\u5f53\u7136\u300d\u3068\u3044\u3046\u542b\u610f\u3082\u3042\u308a\uff0c\u305d\u306e\u89e3\u91c8\u306f\u3055\u307e\u3056\u307e\u3067\u3042\u3063\u305f\uff0e\u6642\u76f8\u8ad6\u7406\u306b\u304a\u3051\u308b\u25a1\u306b\u306f\uff0c\u305d\u3046\u3044\u3046\u3084\u3084\u3053\u3057\u3055\u306f\u306a\u3044\uff0e<\/p>\n

\u6b21\u306b\uff0c\u25a1 (x > 3) \u306e\u771f\u7406\u5024\u8868\u3092\u8003\u3048\u3066\u307f\u308b\uff0e\u4eca\u56de\u3082\uff0c\u6642\u9593\u7d4c\u904e\u3092\u793a\u3059 j \u3068 x \u3092\u6df7\u540c\u3057\u306a\u3044\u3088\u3046\u306b\u3068\u3044\u3046\u306e\u304c\u6ce8\u610f\u3067\u3042\u308b\uff0e<\/p>\n\n\n\n\n\n\n
\u300c\u25a1 (x > 3)\u300d\u771f\u7406\u5024\u8868<\/caption>\n
j<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n<\/tr>\n
x<\/td>\n1<\/td>\n3<\/td>\n2<\/td>\n4<\/td>\n3<\/td>\n5<\/td>\n4<\/td>\n<\/tr>\n
x > 3<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\n<\/tr>\n
\u25a1 (x > 3)<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u6642\u9593 7 \u4ee5\u964d\u3082\uff0cx \u306f 4 \u3088\u308a\u5927\u304d\u3044\u3068\u3057\u3066\u3044\u308b\uff0e<\/p>\n

\u300c\u3044\u3064\u304b(eventually)\u300d\u6f14\u7b97\u5b50 \u25c7<\/strong><\/p>\n

(\u03c3, j)\u00a0\u22a7 \u25c7p \u00a0 iff \u00a0 (\u03c3, k) \u22a7\u00a0p for some k \u2265\u00a0j.<\/span><\/p>\n

\u300c\u3044\u3064\u304b\u306f p \u306b\u306a\u308b\u300d\u3068\u3044\u3046\u610f\u5473\u3067\u3042\u308b\uff0e<\/p>\n

\u69d8\u76f8\u8ad6\u7406\u3067\u306f\uff0c\u300c\u53ef\u80fd\u300d\u3068\u3044\u3046\u610f\u5473\u3067\u3042\u3063\u305f\uff0e<\/p>\n\n\n\n\n\n\n
\u300c\u25c7 (x = 4)\u300d\u771f\u7406\u5024\u8868<\/caption>\n
j<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n<\/tr>\n
x<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n<\/tr>\n
x = 4<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\n<\/tr>\n
\u25c7 (x = 4)<\/td>\nT<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u300c\u307e\u3067\u300dU (until) \u6f14\u7b97\u5b50
\n<\/strong><\/p>\n

(\u03c3, j)\u00a0\u22a7 p U q \u00a0 iff \u00a0 k \u2265\u00a0j \u3068\u306a\u308b k \u304c\u3042\u308a\uff0c(\u03c3, k) \u22a7 q \u304c\u6210\u308a\u7acb\u3064\uff0e\u304b\u3064\uff0c\u5168\u3066\u306e i \u306b\u304a\u3044\u3066\uff0cj\u00a0\u2264 i < k \u3067\uff0c(\u03c3, i)\u00a0\u22a7 p.<\/span><\/p>\n

\u3069\u3053\u304b\u3067 q \u306b\u51fa\u4f1a\u3046\uff0e\u305d\u308c\u307e\u3067 p \u304c\u7d9a\u304f\uff0ep … p q \u3068\u3044\u3046\u5217\u3092\u8003\u3048\u3066\u3044\u308b\uff0e<\/p>\n

\u6b21\u306f\uff0c(3\u00a0\u2264 x\u00a0\u2264 5) U ( x = 6) \u306e\u4f8b\u3067\u3042\u308b<\/p>\n\n\n\n\n\n\n\n
\u300c(3\u00a0\u2264 x\u00a0\u2264 5) U ( x = 6)\u00a0\u300d\u771f\u7406\u5024\u8868<\/caption>\n
j<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n<\/tr>\n
x<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n<\/tr>\n
3\u00a0\u2264 x\u00a0\u2264 5<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nF<\/td>\n<\/tr>\n
x = 6<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nF<\/td>\n<\/tr>\n
(3\u00a0\u2264 x\u00a0\u2264 5) U ( x = 6)<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nF<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u300c\uff08\u3088\u308f\u3044\uff09\u307e\u3067\u300dW (Unless, Waiting-for) \u6f14\u7b97\u5b50
\n<\/strong><\/p>\n

(\u03c3, j)\u00a0\u22a7 p W q \u00a0 iff \u00a0 \u00a0(\u03c3, j) \u22a7 p U q or\u00a0(\u03c3, j) \u22a7 \u25a1p.<\/span><\/p>\n

\u57fa\u672c\u7684\u306b\u306f\uff0cU\u3068\u540c\u3058\u3067\u3042\u308b\uff0e\u305f\u3060\uff0cq \u306b\u51fa\u4f1a\u308f\u306a\u304f\u3066\u3082\u826f\u3044\uff0e\u305d\u306e\u5834\u5408\u306f\uff0cp \u304c\u7d9a\u304f\uff0e<\/p>\n

\u8a33\u8a9e\u304c\u96e3\u3057\u304f\uff0c\u3053\u3053\u3067\u306f\uff0c\u300c\uff08\u3088\u308f\u3044\uff09\u307e\u3067\u300d\u3068\u3057\u305f\uff0e<\/p>\n

\u6b21\u306e\u771f\u7406\u3092\u8003\u3048\u308b\uff0e[(3\u00a0\u2264 x\u00a0\u2264 5) \u00a0\u2228 \u00a0(x \u2265 8)] W ( x = 6)<\/p>\n\n\n\n\n\n\n\n
\u300c[(3\u00a0\u2264 x\u00a0\u2264 5) \u00a0\u2228 \u00a0(x\u00a0\u2265 8)] W ( x = 6)\u00a0\u300d\u771f\u7406\u5024\u8868<\/caption>\n
j<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n8<\/td>\n<\/tr>\n
x<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n8<\/td>\n9<\/td>\n<\/tr>\n
(3\u00a0\u2264 x\u00a0\u2264 5)\u00a0\u2228 (x\u00a0\u2265 8)<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\n<\/tr>\n
x = 6<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nF<\/td>\nF<\/td>\nF<\/td>\n<\/tr>\n
[(3\u00a0\u2264 x\u00a0\u2264 5) \u2228(x\u00a0\u2265 8)] W ( x = 6)<\/td>\nF<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nT<\/td>\nF<\/td>\nT<\/td>\nT<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u8868\u3092\u304a\u3044\u304b\u3051\u308b\u306e\u306f\u9762\u5012\u3060\u304c\uff0c\u5bfe\u8c61\u3068\u3059\u308b\u547d\u984c\u306e\u771f\u507d\u304c\uff0c\u6642\u9593\u306b\u3088\u3063\u3066\u5909\u308f\u308b\u306e\u304c\u5b9f\u611f\u3067\u304d\u308b\uff0e<\/p>\n

\u306a\u304a\uff0c\u3053\u3053\u307e\u3067\u306b\u3067\u3066\u304d\u305f\u6f14\u7b97\u5b50\u306f\uff0c\u304a\u6c17\u3065\u304d\u306e\u901a\u308a\uff0c\u300c\u672a\u6765\u300d\u306b\u95a2\u3059\u308b\u3082\u306e\u3067\u3042\u308b\uff0e\u6b21\u56de\u306f\uff0c\u5e7e\u3064\u304b\u306e\u4f8b\u3092\u307f\u3066\u304b\u3089\uff0c\u7c21\u5358\u306b\u904e\u53bb\u306e\u6642\u5236\u6f14\u7b97\u5b50\u3092\u898b\u308b\u3053\u3068\u306b\u3057\u305f\u3044\uff0e<\/p>\n

\n
\n
\n

(nil)<\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u6f14\u7b97\u5b50\u306e\u7d9a\u304d\u3067\u3042\u308b\uff0e \u300c\u4ee5\u5f8c(henceforth)\u300d\u6f14\u7b97\u5b50 \u25a1 (\u03c3, j)\u00a0\u22a7 \u25a1p \u00a0 iff \u00a0 (\u03c3, k) \u22a7\u00a0p for all k\u00a0\u2265\u00a0j. \u3053\u308c\u3068\u3044\u3063\u305f\u8a33\u8a9e\u304c\u306a\u3044\uff0e\u300c\u305a\u3063\u3068 p \u3067\u3042\u308b\u300d\u3068\u3044\u3063\u305f\u610f\u5473\u306b\u306a […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,40,31,10],"tags":[79],"class_list":["post-1172","post","type-post","status-publish","format-standard","hentry","category-kaos","category-40","category-requirements","category-re","tag-79"],"_links":{"self":[{"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1172"}],"version-history":[{"count":23,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1172\/revisions"}],"predecessor-version":[{"id":1238,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1172\/revisions\/1238"}],"wp:attachment":[{"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.nil.co.jp\/Japanese\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}