The language L = {aⁱb cⁱ │ i >= 0} over the alphabet {a, b, c} is:
(A) a regular language.
(B) not a deterministic context free language but a context free language.
(C) recursive and is a deterministic context free language.
(D) not recursive.


Answer: (C)

Explanation: For a launguage to be recursive it can be decided by Turing machine which means it will enter into final state and reject the rest and for DCFL it must decidable that- for a particular language, next character is going to accepted or not.
and for more information Refer:Recursive and Recursive Enumerable Languages
So, option (C) is correct.


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