DcoBA · co-Büchi ω-regular
Eventually always b
FG b as a deterministic co-Büchi automaton — the same language a Büchi automaton can only recognise by guessing. Swapping α from Büchi to co-Büchi is the entire difference.
The author’s examples, run
(b) → accepta(b) → acceptab(b) → acceptaaaa(b) → accept(a) → reject(ab) → rejectbbb(ab) → reject