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  1. 理工学研究科
  2. 理工学研究科・博士論文

Probability meets Non-Probability via Complete IL-Semirings

http://hdl.handle.net/10232/12580
http://hdl.handle.net/10232/12580
91cf4aef-4467-4ff1-9ea0-d8221873844b
名前 / ファイル ライセンス アクション
rikouken364.pdf rikouken364.pdf (707.2 kB)
TSUMAGARI_phdthesis_2012.pdf TSUMAGARI_phdthesis_2012.pdf (342.3 kB)
Item type 学位論文 / Thesis or Dissertation(1)
公開日 2015-02-18
タイトル
タイトル Probability meets Non-Probability via Complete IL-Semirings
著者 津曲, 紀宏

× 津曲, 紀宏

WEKO 125979

津曲, 紀宏

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著者よみ
姓名 ツマガリ, ノリヒロ
別言語の著者
姓名 TSUMAGARI, Norihiro
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_db06
資源タイプ doctoral thesis
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
要約(Abstract)
内容記述タイプ Other
内容記述 This thesis aims to provide a path to abstraction between probabilistic systems and non-probabilistic systems in order to put the verification methods for probabilistic systems into practical use. McIver et al have introduced a verification method for probabilistic systems using probabilistic Kleene algebras and their model of probabilistic systems. However it is difficult to put their method in practical use because their model of probabilistic systems still includes probabilistic components. Thus we have to find more abstract semantic domain excluded probabilistic components in order to enable their verification method to be put into practical use. This thesis offers multirelations -- extended binary relations -- as that abstract domain for probabilistic systems. And we generalize the model of probabilistic systems as probabilistic multirelations, then we consider probabilistic multirelations and non-probabilistic multirelations via an algebra called complete IL-semiring. Giving several Galois connections between them, we begin walking to abstraction for probabilistic systems.
要約(Abstract)
内容記述タイプ Other
内容記述 理工学研究科博士論文 (理学) ; 学位取得日: 平成24年3月23日
作成日
日付 2012-03-23
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
NDC
主題Scheme NDC
主題 410
ファイル(説明)
内容記述タイプ Other
内容記述 学位論文の要旨
ファイル(説明)
内容記述タイプ Other
内容記述 学位論文本文
公開者・出版者
出版者 鹿児島大学
公開者よみ
公開者よみ カゴシマ ダイガク
公開者別名
公開者別名 Kagoshima University
備考
備考 【指導教員: 古澤仁准教授】
学位記番号
理工研第364号
学位名
学位名 博士(理学)Doctor of Philosophy in Science
学位授与機関
学位授与機関識別子Scheme kakenhi
学位授与機関識別子 17701
学位授与機関名 鹿児島大学
学位授与年月日
学位授与年月日 2012-03-23
学位授与番号
学位授与番号 甲理工研第364号
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