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Select all true statements1 pointAll finite languages are regular.All infinite languages are regularAll infinite languages are context-free.All finite languages are context-free.

Question

Select all true statements1 pointAll finite languages are regular.All infinite languages are regularAll infinite languages are context-free.All finite languages are context-free.

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Solution

The true statements are:

  1. All finite languages are regular.
  2. All finite languages are context-free.

Explanation:

  1. All finite languages are regular: This is true because a finite language can always be represented by a regular expression or a finite automaton, which is the definition of a regular language.

  2. All infinite languages are regular: This is false. Not all infinite languages are regular. An example of an infinite language that is not regular is the set of all strings over {0,1} that have an equal number of 0s and 1s.

  3. All infinite languages are context-free: This is also false. Not all infinite languages are context-free. An example of an infinite language that is not context-free is the language of all strings over {0,1} where the number of 0s is the square of the number of 1s.

  4. All finite languages are context-free: This is true because a finite language can always be represented by a context-free grammar, which is the definition of a context-free language.

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Similar Questions

Select all true statements1 pointThere are languages A, B such that A is regular, B is undecidable, and A is a superset of B.There are languages A, B such that A is regular, B is undecidable, and A is a subset of B.There are languages A, B such that A is context-free, B is undecidable, and A is a subset of B.There are languages A, B such that A is context-free, B is undecidable, and A is a superset of B.

True or False: All finite languages are decidable.1 pointTrueFalse

Question 1Prove that the class of context-free languages is closed under the concatenation operationi.e., if L1𝐿1 and L2𝐿2 are context-free languages, then L1∘L2𝐿1∘𝐿2 is context-free.

Recursive languages are a subset of:a.Recursively enumerable languagesb.Context-sensitive languagesc.Context-free languagesd.Regular languages

Which of the following is a regular language?

1/2

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