1 . ( 18 points ) Let :` [ 1 = ( a biz` cm / m , n gt; ] ] [.2 = [ a bm @ 2 m / m, n gt; ! ) a ) Give CFG's for [ ] and [. 2. b ) Is

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1 . ( 18 points ) Let :`[ 1 = ( a " biz` cm / m , n > ] ][.2 = [ a "bm @ 2 m / m, n > ! )a ) Give CFG's for [ ] and [. 2.b ) Is LIN LE a CFL ? Justify your answer .C ) Using the CFG designed for I , as a template , design another CFG for the language*( denoted as [pref ) of all strings that are prefixes of the strings in L . _ i.e .I pres = ( * \ I is a prefix of a string in [ I ]Note , by this definition , each string in [ , will generate multiple strings in Lipres . Forexample , the string abber which is in I , will generate the following list of strings inL prep : LE , a, ab , abb , abbe, abbce !`