a) Construct Minimum State automata equivalent to FA. | State | 0 | 1…

Previous year question for Theory of Computation.

Question

a) Construct Minimum State automata equivalent to FA.

| State | 0 | 1 |

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

| $\rightarrow q_0$ | $q_1$ | $q_0$ |

| $q_1$ | $q_0$ | $q_2$ |

| $q_2$ | $q_3$ | $q_1$ |

| $q_3$ | $q_3$ | $q_0$ |

| $q_4$ | $q_3$ | $q_5$ |

| $q_5$ | $q_6$ | $q_4$ |

| $q_6$ | $q_5$ | $q_6$ |

| $q_7$ | $q_6$ | $q_3$ |

b) State and Prove Pumping Lemma for Regular Sets?

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