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DESIGN TM FOR {a^n b^n c^n | n>=1}


Concept:-

General_idea: click_me

L={a^n b^n c^n | n>=1}
w={abc,aabbcc,aaabbbccc,....}
a a a b b b c c c 
X a a Y b b Z c c

X X a Y Y b Z Z c

Step_1: Replace a by X and go right side. TM tape can move any side. It has infinite memory in both side. And it can remember previous states details.
Step_2: Replace b by Y and go right side of tape.
Step_3: Replace c by Z and turn left till X . 
Step_4: After seeing X(capital X) replace next a by X and do same loop.
Step_5: X portions finished.
Step_6: Move to Y states. Denote it for one move first and after that notate self loops. Goto final state Z in self loop. Finally stop turing machine. Success.


Next step:
How to add self loop states?

Ok listen me...
For that we are taking two steps
X a a Y b b Z c c

X X a Y Y b Z Z c 

Just understand in between symbols. And make it as self loops. If any doubt please post comments..I can explain it.

Small editing...This one is right answer. 


Thanks.

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