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Is it true that if a language a is regular and language b reduces to a, then language b is also regular?
No, it is not necessarily true that if language A is regular and language B reduces to A, then language B is also regular.
Can you demonstrate that the language defined by the regular expression "add" is not a regular language?
The language defined by the regular expression "add" is not a regular language because it requires counting the number of occurrences of the letter "d," which cannot be done using a finite automaton, a key characteristic of regular languages.
Is it true that a context-free language is a subset of a regular language?
Yes, it is true that a context-free language is a superset of a regular language.
How can the keyword "pumping lemma" be used to prove that a language is regular?
The keyword "pumping lemma" can be used to prove that a language is regular by showing that any sufficiently long string in the language can be divided into parts that can be repeated or "pumped" to create more strings in the language. If this property holds true for a language, it indicates that the language is regular.
Is it true that if a language is undecidable, then it must be infinite?
Yes, it is true that if a language is undecidable, then it must be infinite.
