Which of the following is true for the language {a^p} p is prine ?
A)It is not accepted by a turing machine
B)It is regular but not context free
C)It is context free but not regular
D)It is neither regular nor context free but accepted by a turing machine

Question

Quizplus · Accepted Answer

The language {a^p | p is prime} is not regular because it does not satisfy the pumping lemma for regular languages. It is also not context-free, as context-free languages cannot handle the prime number constraint without additional mechanisms. However, it can be accepted by a Turing machine, which is capable of performing the necessary computations to check if the length of the string (number of 'a's) is prime. Turing machines are more powerful than both finite automata and pushdown automata, which recognize regular and context-free languages, respectively.

Which of the Following Is True for the Language {A^p}