Skip to content

Commit f0431d1

Browse files
slspeightayberkt
authored andcommitted
Continue to update comments
1 parent 130b656 commit f0431d1

File tree

1 file changed

+4
-4
lines changed

1 file changed

+4
-4
lines changed

source/UF/SystemFNotionOfResizing.lagda

+4-4
Original file line numberDiff line numberDiff line change
@@ -39,10 +39,7 @@ open AllCombinators pt fe
3939
One can consider System F resizing in a universe polymorphic form, but we think
4040
this should be inconsistent due to some form of Girard’s Paradox. This is
4141
because it gives nested impredicative universes which is known to be
42-
inconsistent. However, there are lots of details to check here. It would be nice
43-
to have this paradox in TypeTopology.
44-
45-
TODO: show that the following axiom is inconsistent.
42+
inconsistent. However, there are lots of details to check here.
4643

4744
\begin{code}
4845

@@ -52,6 +49,9 @@ Generalized-System-F-Resizing 𝓤 𝓥 =
5249

5350
\end{code}
5451

52+
TODO: prove that this generalized form is inconsistent.
53+
54+
5555
The special case of this notion of resizing where we pick `𝓤 := 𝓤₀` and
5656
`𝓥 := 𝓤₁` should be consistent.
5757

0 commit comments

Comments
 (0)