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Write a DFA that recognizes the language L={w?{0,1}* | w ends in 0}. Treat this DFA as if it were a PDA and apply Sipser's

Write a DFA that recognizes the language L={w?{0,1}* | w ends in 0}. Treat this DFA as if it were a PDA and apply Sipser's algorithm for constructing a CFG from a PDA to it. Demonstrate derivations of the strings 10, and 1100 in the resulting grammar. (Note that this problem specifically asks you to apply the PDA to CFG conversion algorithm, not simply create a grammar from scratch.)

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