Chomsky Hierarchy
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  1. whenever
    is a move of the LBA

The two rules 5 and 6 are used to handle the two special extreme cases as indicate in the definition of the lba.

Hence every move of the LBA can be simulated by G using the above rules. It is clear that if the LBA ever enters a final state qf , then simulating this step the CSG G will produce a variable in the sentential form. At this point, the derivation must generate the original input string.

Using the production

7. a, and , (i.e. and/or could include <, > and onre tape symbol).

The ordered pair is transformed into the terminal symbol contained in the first component.

 

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