Which of the following helps in conversion of deterministic finite automata into a regular expression?a)Floyd-Warshall algorithmb)Kleene’s Algorithmc)Thompson’s Construction Algorithmd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Conversion of Deterministic Finite Automata into Regular Expression:

Deterministic Finite Automata (DFA) can be converted into a regular expression using Kleene's Algorithm. Kleene's Algorithm is a method that allows us to systematically convert a DFA into a regular expression.

Steps involved in using Kleene's Algorithm:

- Start with the DFA that needs to be converted into a regular expression.
- Remove all final states except one, which will be the new final state.
- For each pair of states q and p, create a new state r and update the transitions to bypass q and p. This step is repeated until only the start state and final state remain.
- Finally, the regular expression can be obtained by following the transitions from the start state to the final state.

Importance of Kleene's Algorithm:

- Kleene's Algorithm provides a systematic way to convert a DFA into a regular expression, allowing for a more structured and organized approach.
- This conversion process is essential in various applications, such as parsing and pattern matching, where regular expressions play a crucial role.

Therefore, the correct option for converting a deterministic finite automata into a regular expression is Kleene's Algorithm.

Answer

Given a DFA, Kleene’s algo helps to convert it into regular expression. Floyd-Warshall algorithm is out of context because it is used in graphs and Thompson’s Construction Algorithm transforms a regular expression into an equivalent NFA.

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