Let $L = {w in {a,b }^* | #a(w) text{ is odd and } #b(w) text{ is even} }$. Show that $L^*$ is the set of strings where the number of b's is even. I know that L*= cup _{i=0}L^(i) I want to prove this by induction over i.

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Let $L =  {w  in  {a,b }^*   |    #a(w)  text{ is odd and }  #b(w)  text{ is even} }$. Show that $L^*$ is the set of strings where the number of b's is even. I know that L*= cup _{i=0}L^(i) I want  to prove this by induction over i.

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Solution for - Let $L =  {w  in  {a,b }^*   |    #a(w)  text{ is odd and }  #b(w)  text{ is even} }$. Show that $L^

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(Solved): Let $L = \{w \in \{a,b\}^* \ | \ \#a(w) \text{ is odd and } \#b(w) \text{ is even}\}$. Show that $L^ ...

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