If it's a limited number of states in the automaton, and a limited amount of "tape" in the canvas, it's not a Turing machine, it's a Finite-State Automaton, whi

If it's a limited number of states in the automaton, and a limited amount of "tape" in the canvas, it's not a Turing machine, it's a Finite-State Automaton, which is easy to analyze for loops.