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Results tagged with type-theory
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user 89916
8
votes
1
answer
789
views
Easier Girard's paradox in a circular pure type system (PTS)
System U is an inconsistent PTS in that one has a term of type $\bot = \forall p\colon \ast \ldotp p$, and such a term is explicitly constructed in Hurkens' A Simplification of Girard's Paradox.
One- …
- 369
5
votes
1
answer
921
views
New foundation in homotopy type theory
Is there any model of NF (New Foundations) on HoTT (homotopy type theory)?
Because there is a model of ZF(C) on HoTT (The HoTT book, Section 10.5) and NF on ZFC (by this Wikipedia articile), I think …
- 369