10. Let B be the language of all palindromes over {0,1) containing equal numbers of 0s and 1s. Show that B is not context free.

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10. Let B be the language of all palindromes over {0,1) containing equal numbers of 0s and 1s. Show that B
is not context free.
11. Find context-free grammars for the following languages:
(a) L=a", n is even.
(b) L="b", n is odd.
(c) L="b", n is a multiple of three.
(d) L="b", n is not a multiple of three.
12. Find context-free grammars for the following languages (with n 20,m 20, k > 0):
(a) L= (a"b":n=mor m≤k}
(b) L (a"b":n-m or mk)
13. Show that the following grammar is ambiguous
SaSbSbSaS |e.
Transcribed Image Text:10. Let B be the language of all palindromes over {0,1) containing equal numbers of 0s and 1s. Show that B is not context free. 11. Find context-free grammars for the following languages: (a) L=a", n is even. (b) L="b", n is odd. (c) L="b", n is a multiple of three. (d) L="b", n is not a multiple of three. 12. Find context-free grammars for the following languages (with n 20,m 20, k > 0): (a) L= (a"b":n=mor m≤k} (b) L (a"b":n-m or mk) 13. Show that the following grammar is ambiguous SaSbSbSaS |e.
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