What are the differences between DFA's and FSM's?

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Hey there guys! So I recently decided to take a CS course. One of my HW questions asks me to form a regular expression given a DFA. Now I have actually never ran into DFA's before but I do have some experience with finite state machines. My question is this: Is the regular expression formed from a DFA the same thing as the output logic of a finite state machine?
 
I misunderstood the subject of this thread.

Illustration of the Flying Spaghetti Monster: a tangle of pale noodles with two meatballs and two eyeballs on stalks, on a cream background.
 
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