So I'm trying to learn cubical type theory (specifically to use cubical agda), and there's one point that feels like I almost grasp it but not quite, and that's what exactly PathP is. I think I have a sort of intuition, so I wanted to ask if it's valid.
So I'm trying to learn cubical type theory (specifically to use cubical agda), and there's one point that feels like I almost grasp it but not quite, and that's what exactly
PathP
is. I think I have a sort of intuition, so I wanted to ask if it's valid.Is the difference between
p: I -> Type
and
PathP p (p i0) (p i1)
analogous to the difference between
B: A -> Type
and
Pi x. B x
?I believe so. At least, it seems to be typed similarly.