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Finite Automata State Diagram Quiz

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Questions and Answers

What is the main characteristic of a non-deterministic finite automaton (NFA)?

Can have more than one destination from a state with a distinct input (correct)

Always moves from a state without input

Has transitions that are completely determined by the input

Has only one possible destination from a state with a distinct input

In NFAs, which of the following statements about transition functions is true?

The transition function can result in a subset of states in the state set (correct)

The transition function maps to a single element of the state set

The transition function is a total function

The transition function is not used in NFAs

When dealing with non-deterministic finite automata, what does a 'stuck state' refer to?

A state that has no transitions out of it (correct)

A state that accepts all inputs

A state that can lead to an accepting state

A state that always moves to another state without input

What does it mean when an NFA removes the need for a 'trap state'?

It allows any resultant configurations to lead to an accepting state Signup and view all the answers

In the context of finite automata, what does it signify when a machine's input is accepted?

The machine reaches an accepting state for the given input Signup and view all the answers

What does a non-deterministic language acceptor aim to achieve?

To accept strings based on multiple possible paths Signup and view all the answers

What is a requirement for applying Arden's Theorem?

Having a single initial state Signup and view all the answers

What is the regular expression obtained for the automata with initial state q1 and final state q2?

01(0) Signup and view all the answers

What is the simplified expression for q2 in the automata?

01(0) Signup and view all the answers

What happens when applying Arden's Theorem to simplify regular expressions?

The regular expression is simplified further Signup and view all the answers

What is a characteristic of a transition diagram where Arden's Theorem can be applied?

Single initial state Signup and view all the answers

In the given state diagram, what is the initial state?

q0 Signup and view all the answers

What is the set of input symbols (alphabet) for the automaton mentioned in the text?

{a, b} Signup and view all the answers

Based on the text, what is Arden's theorem used for in the context of regular expressions?

Solving equations involving regular expressions Signup and view all the answers

Which of the following is NOT a valid transition function in the given state diagram?

(q2, a) -> q3 Signup and view all the answers

What is the final state in the automaton described in the text?

q2 Signup and view all the answers

According to Arden's theorem, when can an equation of the form R = Q + RP have a unique solution?

When P does not contain a dot symbol Signup and view all the answers