Design a CFG which recognizes the language L={ w | all the letters on the first half of w are the same, and the second half is a substring where no consecutive letters are the same } over the alphabet Σ={0,1,2}. Explain your derivation rules. Note: consecutive means two letters which follow each other, " no consecutive letters are the same" means you can't repeat letters, so you can't have "00", "11" or "22" on the second half.

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Design a CFG which recognizes the language L={ w | all the letters on the first half of w are the same, and the second half is a substring where no consecutive letters are the same } over the alphabet Σ={0,1,2}. Explain your derivation rules.

Note: consecutive means two letters which follow each other, " no consecutive letters are the same" means you can't repeat letters, so you can't have "00", "11" or "22" on the second half.

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