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応用数理研究部門（長谷川 真人）
Showing the original Japanese · View translation
計算の根底にある数学構造を圏論で読み解く研究室。
AboutAbout the lab
計算の数学構造を取り出して分析する。
長谷川研究室は、
コンピュータ上の
複雑な
主に
Key terms
- 意味論
- プログラムが
何を 計算するかを、 数学の 対象と して 厳密に 表す理論 - 圏論
- 対象と、
その あいだの 矢印 （射）の つながり方に 注目して、 数学の 構造を 扱う 理論 - モナド
- 副作用を
伴う 計算などを、 圏論の 言葉で まとめて 扱う ための 構造
ResearchResearch themes
計算が
*Illustrative image計算の表現論
多様な
*Illustrative image再帰・副作用・線型論理のモデル
副作用を
*Illustrative imageプログラム意味論と量子トポロジー
プログラム意味論と、
MembersFaculty
- Professor長谷川 真人
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Kleisli Category - morphism composition” AugPi / CC BY-SA 4.0 (cropped)
- 計算の
表現論: “CommutativeClifford” AromaticPolygon / CC0 (cropped) - 再帰・
副作用・線型論理の モデル: “Commutative diagram used in proof of relative exact sequence” Dom walden / CC BY-SA 4.0 (cropped) - プログラム意味論と
量子トポロジー: “Quantum gate teleportation” Vtomole / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（河村 彰星） ): “Turing Machine” Porao / Public domain (cropped) - Related lab (応用数理研究部門
（牧野 和久） ): “B functies 2var versie02” Bob.v.R / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（小林 佑輔） ): “Graph-matroid” Didia / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（川北 真之） ): “Du Val singularities” Aizenr / CC BY-SA 4.0 (cropped)
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