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Which among the following cannot be accepted by  a regular grammar?

(a) L is a set of numbers divisible by 2

(b) L is a set of binary complement

(c) L is a set of string with odd number of 0

(d) L is a set of 0^n1^n

I have been asked this question by my college director while I was bunking the class.

Question is from Context Free Grammar-Derivations and Definitions topic in portion Context Free Grammars and Languages of Automata Theory

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Right option is (d) L is a set of 0^n1^n

Explanation: There exists no finite automata to accept the given language i.e. 0^n1^n. For other options, it is possible to make a dfa or nfa representing the language set.

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