(Unlike most posts on stackexchange with that word,
I really do doubt that they work as described.)

In Figure 15 of this paper, the cells two to the right of the leftmost circle and two to the left of the rightmost circle hold the values 3 and 1 respectively. $\:$ Due to the rows of 1s that are three above each of those circles, the mostly-blank area is presumably supposed to have no mines, which would make the value 3 impossible. $\:$ Since the figure is otherwise mostly symmetric, I believe the 3 I mentioned two sentences ago should be replaced with a 1. $\:$ However, even if that is done, I do not see any way to determine the status of the $z$s even after both $r$ and $s$ are revealed, despite the three sentences on the previous page whose middle sentence starts with "Additionally". $\:$ For the same reason, Figure 14 also does not seem to do what it is supposed to.

Am I missing something here?

Since the figure is otherwise mostly symmetric, I believe the 3 I mentioned two sentences ago should be replaced with a 1.

Indeed, the 3 is obviously a typo.

However, even if that is done, I do not see any way to determine the status of the zs even after...

Am I missing something here?

After $r$ is revealed:

• If it was a mine, you can reveal the numbers on the fields occupied by $r'$.
• If it was not a mine, you can reveal the numbers on the fields occupied by $r$.

In both cases, you can deduce the status of the $z$s from the revealed numbers.

• Out of curiousity, any particular reason you marked this as community wiki? (Not that it's important or that you're under any obligation to answer, of course.)
– D.W.
Jun 5 '15 at 0:29
• @D.W. After I wrote this, I noticed that I didn't upvote the question. Then I decided to mark this as community wiki, instead of upvoting the question. When I ask a question which turns out to have a trivial answer, then often somebody writes the answer in a comment. But this makes it difficult to mark the question as answered. I wish people would instead give answers marked as community wiki in these cases. Jun 5 '15 at 7:56