An augmented context-free grammar can represent languages that a regular context-free grammar cannot. Show an augmented context-free

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An augmented context-free grammar can represent languages that a regular context-free grammar cannot. Show an augmented context-free grammar for the language an bn cn. The allowable values for augmentation variables are 1 and SUCCESSOR(n), where n is a value. 

The rule for a sentence in this language is

S(n) → A(n) B(n) C(n).

Show the rule(s) for each of A, B, and C.

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