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From the list below, select all the requirements necessary to demonstrate that a language L is strictly context free.

A.Give an NFA that recognizes L.
B.Use the pumping lemma for regular languages to show L is not regular.
C.Construct a context free grammar that generates L.
D.Use the pumping lemma for regular languages to show L is also regular.

User Rifferte
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Final answer:

A.Give an NFA that recognizes L. To demonstrate that a language L is strictly context-free, one must show that L is not regular using the pumping lemma for regular languages, and construct a context-free grammar that generates L.

Step-by-step explanation:

To demonstrate that a language L is strictly context-free, it is necessary to fulfill the following requirements:

  • B. Use the pumping lemma for regular languages to show L is not regular. This helps establish that the language cannot be recognized by a finite automaton, which is less powerful than a context-free grammar.
  • C. Construct a context-free grammar that generates L. This provides a formal rule set that can produce all strings in the language and none that are outside of it.

Option A, giving an NFA that recognizes L, would demonstrate that the language is regular, which is a subset of context-free languages but not sufficient to show that L is strictly context-free. Option D, using the pumping lemma to show L is also regular, is incorrect as strictly context-free languages are not regular.

User PVilaca
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