Yes, it is true that if a language is undecidable, then it must be infinite.
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Yes, it is true that determining whether a given context-free grammar generates a specific language is undecidable.
No, not all deterministic finite automata (DFA) are decidable. Some DFAs may lead to undecidable problems or situations.
Yes, it is true that a context-free language is a superset of a regular language.
No, it is not necessarily true that if language A is regular and language B reduces to A, then language B is also regular.
Yes, it is true that every finite language is regular.