论文标题

小家庭的感应恢复宇宙通用

An inductive-recursive universe generic for small families

论文作者

Gratzer, Daniel

论文摘要

我们表明,有可能在所有Grothendieck Topoi中构建一个宇宙,并具有注射式代码la pujet和tabareau,但对于小家庭来说仍然是通用的。作为一个微不足道的后果,我们表明他们的观察类型理论接受了适合用作内部语言的Grothendieck Topoi中的解释。

We show that it is possible to construct a universe in all Grothendieck topoi with injective codes a la Pujet and Tabareau which is nonetheless generic for small families. As a trivial consequence, we show that their observational type theory admits interpretations in Grothendieck topoi suitable for use as internal languages.

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