Use induction to prove that L = M by showing that LCM and M C L...

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Use induction to prove that L = M by showing that LCM and M C L on the length of w. Let L be the language of strings w over (0,1) such that every non-empty even-length prefix of w ends with a 1. Let M be the language defined by the following recursive definition: Base case: & € M; 0 € M; 1 € M General case: For any w = M, 01w, 11w are in M. Clearly state the: > Basis > Induction hypothesis > Statement to show in the inductive step > Proof of the inductive step Use induction to prove that L = M by showing that LCM and M C L on the length of w. Let L be the language of strings w over (0,1) such that every non-empty even-length prefix of w ends with a 1. Let M be the language defined by the following recursive definition: Base case: & € M; 0 € M; 1 € M General case: For any w = M, 01w, 11w are in M. Clearly state the: > Basis > Induction hypothesis > Statement to show in the inductive step > Proof of the inductive step

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Answer Basis For the empty string both L and M accept it since it satisfies their respective conditions Induction hypothesis Assume that any string of length up to k satisfies the conditions for both ... View the full answer