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Automata and Language Theory Quiz #1

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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?

δ (m,0) = Φ Signup and view all the answers

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

A single string in the set Signup and view all the answers

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

All of the mentioned Signup and view all the answers

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

Output Alphabet 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?

δ (m,0) = Φ Signup and view all the answers

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

It denotes the language consisting of no string 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.

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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.