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1. Design an automaton to accept the language ((ab)* :k:20) Answer:
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Solution

The strings accepted by this language are strings with 0 or more occurances of aabbb.

So the strings in the given language are a2b3 , a2b3a2b3​​​​​​​ , a2b3​​​​​​​a2b3​​​​​​​a2b3​​​​​​​ , a2b3​​​​​​​a2b3​​​​​​​a2b3​​​​​​​a2b3​​​​​​​ ................................

or in other words aabbb , aabbbaabbb , aabbbaabbbaabbb , aabbbaabbbaabbbaabbb........................

A finite automata can be designed to accept the strings of this language. The NFA is shown below:

E D be Б a B A

This nondeterministic finite automata has 5 states. The initial and final state is state A.

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