Design an NFA for the language of all strings over alphabet {0,1} that contain a “0101” somewhere…

Design an NFA for the language of all strings over alphabet {0,1} that contain a “0101” somewhere. Use Jove’s markdown syntax to capture your design. Next, (a) Simulate this NFA using the accepts_nfa function on the first 20 strings in numeric order, showing that it works. (b) Next, apply subset conversion by hand, and convert this NFA to an equivalent DFA. Capture this DFA using Jove’s markdown. (c) Now, invoke the nfa2dfa function that automatically converts your NFA to a DFA. (d) Show that these two DFA are language-equivalent using the langeq_dfa function.

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