Write up the "verified" portion of the forward analysis

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
2024-12-25 19:03:51 -08:00
parent fa180ee24e
commit 3b9c2edcdd
4 changed files with 569 additions and 1 deletions

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@@ -55,6 +55,7 @@ Now, let's start with the least element of our lattice, denoted \(\bot\).
A lattice of finite height is guaranteed to have such an element. If it didn't,
we could always extend chains by tacking on a smaller element to their bottom,
and then the lattice wouldn't have a finite height anymore.
{#start-least}
Now, apply \(f\) to \(\bot\) to get \(f(\bot)\). Since \(\bot\) is the least
element, it must be true that \(\bot \le f(\bot)\). Now, if it's "less than or equal",