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The complement of a language will only be defined when and only when the __________ over the language is defined.

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The complement of a language will only be defined when and only when the __________ over the language is defined.

(a) String

(b) Word

(c) Alphabet

(d) Grammar

The question was posed to me in exam.

I want to ask this question from Simpler Notations topic in division Finite Automata of Automata Theory

1 Answer

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The correct answer is (c) Alphabet

To explain: It is not possible to define the complement of a language without defining the input alphabets. Example: A language which does not consist of substring ‘ab’ while the complement would be the language which does contain a substring ‘ab’.

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