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A "state machine" is an abstract model of computation whereby a computational process alternates among a series of states, each defined by a certain set of instructions or data, and transitioning among the various states as triggered by external stimuli. Hence, a stateless machine is a device that simply processes according to some set of instructions, without any knowledge of prior history, like an amnesiac. -Chaos Monkeys
A "state machine" is an abstract model of computation whereby a computational process alternates among a series of states, each defined by a certain set of instructions or data, and transitioning among the various states as triggered by external stimuli. Hence, a stateless machine is a device that simply processes according to some set of instructions, without any knowledge of prior history, like an amnesiac. -Chaos Monkeys