(a) Prove the Arden's Theorem including the proof for unique solution…

Question

(a) Prove the Arden's Theorem including the proof for unique solutions given by $R = Q P^*$

(b) Construct a DFA equivalent to $M = (\{q_0, q_1, q_2, q_3\}, \{0, 1\}, \delta, q_0, \{q_3\})$ where $q_3$ is the final state. The $\delta$ function is as follows:

| | 0 | 1 |

|---|---|---|

| $\rightarrow q_0$ | $\{q_0, q_1\}$ | $q_0$ |

| $q_1$ | $q_2$ | $q_1$ |

| $q_2$ | $q_3$ | $q_3$ |

| $q_3$ | $\phi$ | $q_2$ |

Related pages

• Conversion of NFA to DFA — topic
• Theory of Computation syllabus

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