No, the context-free language is not closed under complement.
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The complement of a regular language is regular because regular languages are closed under complementation. This means that if a language is regular, its complement is also regular.
Yes, decidable languages are closed under operations such as union, intersection, concatenation, and complementation. This means that if a language is decidable, performing these operations on it will result in another decidable language.
Yes, decidable languages are closed under concatenation.
Yes, decidable languages are closed under intersection.
Yes, recognizable languages are closed under concatenation.