You can try them with simple short loops detectors, or perhaps with the "turtle and hare" method. If I do that and a friend ask me how I solved it, I'd call tha

You can try them with simple short loops detectors, or perhaps with the "turtle and hare" method. If I do that and a friend ask me how I solved it, I'd call that "bruteforce". They solved a lot of the machines with something like that, and some with more advanced methods, and "13 Sporadic Machines" that don't halt were solved with a hand coded proof.