Information Semantics and Relational Programming in Dedekind Categories
| Project/Area Number |
15500013
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | KYUSHU UNIVERSITY |
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Principal Investigator |
KAWAHARA Yasuo Kyushu Univ., Graduate School of Information Science and Electrical Engineering, Professor, システム情報科学研究院, 教授 (90091181)
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| Project Period (FY) |
2003 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | binay relation / relational method / cardinality of relations / program semantics / matching of graphs / network flow / fuzzy relation / Dedekind inequality / ファジイ理論 / ネットワークフロー / 関係代数 / 関係計算 / 関係型プログラミング / プログラミング理論 / 基数 / カテゴリー論 / 形式概念 / 関係集合論 / ファジイ論理 / プログラミング意味論 / Hoare論理 |
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| Research Abstract |
The project studied on Information Semantics and Relational Programming in Dedekind categories and the relationalmethods in Computer Science for four years and the main results are the following :
(1) The foundations of the cardinality of (binary) relations, including Dedekind inequality.
(2) Another proof of Tarski's fixed point theorem in Dedekind categories,
(3) Determination of the reversibility for classic automata with triplet local transition rules.
(4) Verification of demonic composition and demonic orders between meanings of programs in Dedekind categories.
By the aid of the fund the author could give lectures on the results by the study project, in particular, could serve a program committee of the International Conference on Relational Methods in Computer Science/Applications of Kleene Algebras. The author would like to express his sincere gratitude for all persons who support the scientific project.
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Report
(5 results)
Research Products
(10 results)
