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软件学报  1998 

Constructive Semantics of Inductive Types
归纳类型的构造集语义

Keywords: 类型理论,归纳类型,ω-集合.

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Abstract:

Inductive types in Martin-Lof type theory have simple interpretations in classical set theory. The calculus of constructions however does not enjoy such a model. This paper shows how inductive types in the calculus of constructions can be interpreted in the category of omega sets.

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