摘要
Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,本文研究了范畴Ω-Cat的Ω-值函数空间,得出了Ω-值函数空间函子与Ω-值积函子互为伴随函子,证明了范畴Ω-Cat是Cartesian闭范畴。
Ω-category has category theory and order theory double meaning,which can provide a quantitative model for the semantics of computer programming languages.In this paper we researched theΩ-valued functional space inΩ-Cat category.Furthermore,we pointed out theΩ-valued functional space functor is a right adjoint for theΩ-valued product functor.Finally we proved theΩ-Cat category is cartesian closed.
出处
《模糊系统与数学》
CSCD
北大核心
2014年第5期71-75,共5页
Fuzzy Systems and Mathematics
基金
新疆维吾尔自治区普通高校重点学科开放课题(2012ZDXK01)