Introduction to Formal Languages

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Questions and Answers

Which of the following sets is an example of a finite language?

  • {a, b, aa, bb, ab}
  • {car, truck, goose} (correct)
  • {a, aa, abba, bbba} (correct)
  • {1, 11, 111, 1111, 11111, …}

Which of the following correctly identifies an infinite language?

  • {a, aa, abba, bbba}
  • {1, 11, 111, 1111, 11111, …} (correct)
  • {car, truck, goose}
  • {cat, dog, fish}

What distinguishes a formal language from other types of languages?

  • It consists only of programming code.
  • It must include at least one vowel.
  • It is always composed of numbers.
  • It can have both finite and infinite sets of strings. (correct)

Which of the following sets does not represent a formal language as defined?

<p>The set of all English words (C)</p> Signup and view all the answers

Which of the following could be an example of a string in a formal language?

<p>aaaa (C)</p> Signup and view all the answers

Flashcards

Formal Language

A set of strings.

Example Language L1

Contains strings like 'a', 'aa', 'abba', and 'bbba'.

Example Language L2

Contains strings like 'car', 'truck', and 'goose'.

Example Language L3

Contains strings like '1', '11', '111', and so on.

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Finite/Infinite Language

Languages can have a limited or unlimited number of strings.

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Study Notes

Formal Languages

  • A formal language is a set of strings.
  • Examples of formal languages:
    • L1 = {a, aa, abba, bbba}
    • L2 = {car, truck, goose}
    • L3 = {1, 11, 111, 1111, 11111, …}
  • Languages can be either finite or infinite.

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