Question: Show that the language is not context free, USING CLOSURE PROPERTIES ONLY 6 pts - Show that the language L - {xSy : x, yinsa,b^*,

Show that the language is not context free, USING CLOSURE PROPERTIES ONLY

6 pts - Show that the language L - {xSy : x, yinsa,b^*, x a substring of y} is not context free *using closure properties only*. Use the fact that CFLs are closed under: union, intersection WITH REGULAR LANGUAGES (not other CFLs), concatenation, asterate (star operation), homomorphism, and inverse ho- momorphism. You may also use the fact that the following languages are not context free: {anb : n 0), 6 pts - Show that the language L - {xSy : x, yinsa,b^*, x a substring of y} is not context free *using closure properties only*. Use the fact that CFLs are closed under: union, intersection WITH REGULAR LANGUAGES (not other CFLs), concatenation, asterate (star operation), homomorphism, and inverse ho- momorphism. You may also use the fact that the following languages are not context free: {anb : n 0)

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