how do we prove a process is markov?

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W_Heisenberg

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given a state diagram,

what should I do to prove it is markov chain?
 

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.
 

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