how do we prove a process is markov?

[W_Heisenberg]

given a state diagram,

what should I do to prove it is markov chain?

 

[D.A.(Tony)Stewart]

Is it time sampled and not continuous?
Is the next state random determined by weighted values of various inputs?
Is it a control system with perceived credits or reduction of difference moving towards a goal by the new decision and unbiased by the past?

Thats my guess.