Please explain why 3. True of False: The regular languages are closed under unio

Question

Please explain why

3. True of False: The regular languages are closed under unior The regular languages are closed under complement. The regular languages are closed under intersection The regular languages are closed under Kleene closure There is a language described by a regular expression that is not accepted by some DFA If a language is accepted by a DFA then its complement is accepted by some NFA If languages K and S are generated by a grammar, then there is a grammar generating R U S Every context-sensitive grammar is a context-free grammar. Every PDA accepts a language generated by some context-free grammar.

Explanation / Answer

Answer)

1) True

The regular language have closure properties with respect to Union, intersection, difference, concatenation, kleen closure, reversal, homomorphism, inverse homomorphism.

2) True - Same as 1

3) True - Same as 1

4) True - Same as 1

8) True - The context free grammar is a broader term which has the context sensitive grammar

9) True - In case the grammar G is said to be context-free, then an equivalent PDA is built which would accept the language being produced by the context-free grammar G.

Hope this answer helps. :) Happy to help.

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