I would like to practice on some problems for using LTL formulae but besides the foundations and theory there are only every few examples. I know that having understood theory is not enough. Where can I go looking for interesting applications, examples including discussions about it. Is it possible to open a thread with examples here?
$(P\to \Diamond Q)$ is intriguing. One would think "On a path $\pi$ starting at state $s$ when P holds, eventually Q will hold." But of course given LTL formula does also hold for any other path which does not satisfy $P$ but $\Diamond Q$ (def. $\rightarrow$ or $\neg P \vee Q$).
Now, this is not covered in theory in general. It is experience knowledge. I want to practice LTL formulae, where can I go looking for them?