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- W4366176057 abstract "Abstract Werner’s set-theoretical model is one of the simplest models of CIC. It combines a functional view of predicative universes with a collapsed view of the impredicative sort “ ${tt Prop}$ ”. However, this model of ${tt Prop}$ is so coarse that the principle of excluded middle $P lor neg P$ holds. Following our previous work, we interpret ${tt Prop}$ into a topological space (a special case of Heyting algebra) to make the model more intuitionistic without sacrificing simplicity. We improve on that work by providing a full interpretation of dependent product types, using Alexandroff spaces. We also extend our approach to inductive types by adding support for ${mathsf{list}}$ s." @default.
- W4366176057 created "2023-04-19" @default.
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- W4366176057 date "2023-04-17" @default.
- W4366176057 modified "2023-10-01" @default.
- W4366176057 title "An intuitionistic set-theoretical model of fully dependent CC" @default.
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- W4366176057 doi "https://doi.org/10.1017/s0960129523000087" @default.
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