Studies on Properties of a Computation System over the Linear Category
| Project/Area Number |
19500008
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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 | The University of Tokyo |
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Principal Investigator |
HASEGAWA Ryu The University of Tokyo, 大学院・数理科学研究科, 准教授 (20243107)
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| Co-Investigator(Kenkyū-buntansha) |
外山 芳人 東北大学, 電気通信研究所, 教授 (00251968)
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| Co-Investigator(Renkei-kenkyūsha) |
TOYAMA Yoshihito 東北大学, 電気通信研究所, 教授 (00251968)
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| Project Period (FY) |
2007 – 2008
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| Project Status |
Completed (Fiscal Year 2008)
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| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | ラムダ計算 / 圏論 / 型理論 / ソフトウェア学 |
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| Research Abstract |
We studied novel computation systems based on category theory. Relations between the lambda calculus, which forms a basis of programming languages, and the category theory, which is a foundation of mathematics, are well-known. This project is a part of a series of researches toward construction of computation systems based on rigid mathematical foundations, restructuring category theory as computation systems. In this project, we developed a computation system over the classical linear category, and we studied its properties.
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Report
(3 results)
Research Products
(5 results)
