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2014 Fiscal Year Final Research Report

Sheaf structure in higher-order computaton and logic

Research Project

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Project/Area Number 24500025
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fundamental theory of informatics
Research InstitutionHosei University

Principal Investigator

KURATA Toshihiko  法政大学, 経営学部, 教授 (40311899)

Co-Investigator(Kenkyū-buntansha) KOMORI Yuichi  千葉大学, 理学(系)研究科(研究院), 名誉教授 (10022302)
FUJITA Ken-etsu  群馬大学, 理工学研究院, 准教授 (30228994)
Co-Investigator(Renkei-kenkyūsha) KASHIMA Ryo  東京工業大学, 情報理工学(系)研究科, 准教授 (10240756)
Project Period (FY) 2012-04-01 – 2015-03-31
Keywords分配具象領域 / 高階逐次性 / 層論
Outline of Final Research Achievements

The structure of distributive concrete domains is known to model the machinery of sequential evaluation of higher-order programming languages, which is obtained by incorporating three technical conditions into a naive structure of models based on the well-known theory of domains. In this respect, we show that these three conditions are comparable with the structure of sheaves studied in mathematics, and actually obtain a both-way translation between distributive concrete domains and sheaves endowed with a domain theoretical feature.

Free Research Field

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Published: 2016-06-03  

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