Conversion of Left Linear Grammar to Finite Automata

Converting left linear grammar to Finite Automata is simple.
Follow the steps:

  1. Take reverse of CFG
  2. Create Finite automata using privious example
  3. Then again take reverse of the FA and that will be our final output
  4. Start State: It will be the first production's state
  5. Final State: Take those states which end up with input alphabets. eg. State A and C are below CFG

Here we are giving one right linear grammar
			A -> Ba/Ab/b
			B -> Ca/Bb
			C -> Aa/Cb

We will follow the steps

  1. Take the reverse of the CFG
  2. 			A -> aB/bA/b
    			B -> aC/bB
    			C -> aA/bC/a
    
  3. Now create the FA

  4. Note: Only state A is final state in this example
  5. Now take reverse of the above FA (this is final output)

  6. Note: Here state A was itself a final state that is why it again become start state as well as final state.