Question: 2. Define AV11DFA={AA is a DFA over the alphabet {0,1} such that every string in L(A) avoids 11 as a substring } Prove that AV11DFA

2. Define AV11DFA={AA is a DFA over the alphabet {0,1} such

2. Define AV11DFA={AA is a DFA over the alphabet {0,1} such that every string in L(A) avoids 11 as a substring } Prove that AV11DFA is decidable. (Your proof should include: - A high-level construction of a Turing Machine that recognizes AV11DFA - A brief argument about why the Turing Machine halts on all inputs - An argument about why the language of the Turing Machine is equal to AV11DFA )

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