use the following two languages to establish that the set of context-free languages is not closed...

 

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use the following two languages to establish that the set of context-free languages is not closed under intersection: A= {amb"c" | m,n≥0} B={ab"cm,n≥0} Obviously, the intersection of these two languages is the language that we had discussed in class as the prototypical example of a non- context-free language: C=AB={a"b"c" | n≥0} Establish that A is indeed context-free by supplying a context-free grammar that generates its strings. In the dialogue box below, supply such a grammar. (10 pts.) use the following two languages to establish that the set of context-free languages is not closed under intersection: A= {amb"c" | m,n≥0} B={ab"cm,n≥0} Obviously, the intersection of these two languages is the language that we had discussed in class as the prototypical example of a non- context-free language: C=AB={a"b"c" | n≥0} Establish that A is indeed context-free by supplying a context-free grammar that generates its strings. In the dialogue box below, supply such a grammar. (10 pts.)

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To establish that the set of contextfree languages is not closed under intersection we can consider ... View the full answer