Question: It is possible for two different finite languages X and Y to have the same Kleene star, that is , forX = Y tobetrue. (

It is possible for two different finite languages X and Y to have the same Kleene star, that is,forX =Y tobetrue.(a) ProvethatX =Y ifandonlyifbothXY andY X.(b) Usepart(a)toshowthatX =Y ifX={a,abb,bb}andY ={a,bb,bba}.(c) ProvethatifX =Y,XY,wisanystringofminimumlengthinX,andzis any string of minimum length in Y , then w and z have the same length.

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