🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

Automata and Language Theory Quiz #1
9 Questions
6 Views

Automata and Language Theory Quiz #1

Created by
@RobustNirvana

Podcast Beta

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following best describes the statements about ε and Ф?

  • Statement 1 and 2 both are false
  • Statement 1 is false but 2 is correct (correct)
  • Statement 1 and 2 both are correct
  • There is no difference between both the statements, ε and Ф are different notation for same reason
  • Which combination of statements makes the correct representation of a Finite Automata?

  • All of the mentioned (correct)
  • Statement 1, 2, and 3 are false
  • Statement 1 is false but Statement 2 and 3 are correct
  • None of the mentioned statements are correct
  • Which of the following is not part of the 5-tuple finite automata?

  • Initial State
  • Input alphabet
  • Transition function
  • Output Alphabet (correct)
  • For the following change of state in FA, which of the following codes is an incorrect option?

    <p>δ (m,0) = Φ</p> Signup and view all the answers

    What does the symbol ε represent in the context of sets?

    <p>A single string in the set</p> Signup and view all the answers

    Which statements about representing a Finite Automata graphically make the correct combination?

    <p>All of the mentioned</p> Signup and view all the answers

    Which of the following is not a part of the 5-tuple finite automata?

    <p>Output Alphabet</p> Signup and view all the answers

    For the given change of state in FA (Q = {m, n} ∑ = {0, 1}), which option does not correctly represent the transition function?

    <p>δ (m,0) = Φ</p> Signup and view all the answers

    Which of the following best describes the symbol Ф in the context of language theory?

    <p>It denotes the language consisting of no string</p> Signup and view all the answers

    Study Notes

    Finite Automata

    • The 5-tuple finite automata consists of five components: Q (set of states), ∑ (input alphabet), δ (transition function), q0 (initial state), and F (set of final states).
    • The symbol ε (epsilon) represents the empty string in the context of sets.
    • The symbol Ф (phi) represents the empty set in the context of language theory.

    Representing Finite Automata Graphically

    • A Finite Automata can be represented graphically using states (represented by circles) and transitions (represented by arrows labeled with input symbols).

    Transition Function in Finite Automata

    • The transition function δ takes the current state and input symbol as input and produces the next state as output.
    • The change of state in FA is represented as δ(q, a) = q', where q is the current state, a is the input symbol, and q' is the next state.

    Incorrect Options

    • The incorrect options for representing a Finite Automata graphically or defining the 5-tuple finite automata include:
      • Including ε or Ф as part of the 5-tuple finite automata.
      • Representing the transition function as a simple list or set of states.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Test your knowledge of automata and language theory with this quiz. The quiz covers topics such as ε and Ф notation, language representation, and set theory.

    More Quizzes Like This

    Use Quizgecko on...
    Browser
    Browser