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In the construction of W described in Subsection 13.3.2 show that, if (w,v)L, then (u1w,u1v) L for any u1A*. Deduce that L(W)= (LA*). (This fact

In the construction of W described in Subsection 13.3.2 show that, if (w,v)L, then (u1w,u1v) L for any u1A*. Deduce that L(W)= (LA*). (This fact enables us to construct W slightly more efficiently.) Show that the fsa constructed in Subsection 13.3.3 have the language claimed.

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