2. (50 pts) Given three context-free languages N, L and M, find if the language (LON)U(NOM)...
1. (50 pts) Given two context-free languages L and M, find if the language LUM is empty.
2. (6 pts) Use the pumping lemma for context-free languages and the string s = ap + 1 bpcP+1 to show that L (amb"cm | 0 < n < m} is not context-free. 2. (6 pts) Use the pumping lemma for context-free languages and the string s = ap + 1 bpcP+1 to show that L (amb"cm | 0
Question 3 (5 Points) Find context free grammars L = a"b",n is a multiple of three Find context-free grammars for the following languages (with n 2 0, m 2 0) ** L = {a"bm : n < m+3}. (a) (b) L= {a"bm : n = m - 1}. L = {a"bm 2m}. L {a"b" 2n < m < 3n}. (c) (d)
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Find a Context-free grammar G that generates the language L= 1n 0m | n ≥ 2m+1, m ≥ 0 U 1n 0m | 0≤n≤3m+2
Find if the following problems are algorithmically decidable and prove that your answers are correct. Given three context-free languages N, L and M, find if the language (L⋂N)⋃(N⋂M) is empty Please help.
1. Show that the following languages are context-free. You can do this by writing a context free grammar or a PDA, or you can use the closure theorems for context-free languages. For example, you could show that L is the union of two simpler context-free languages. (d) L = {0, 1}* - L1, where L1 is the language {1010010001…10n-110n1 : n n ≥ 1}.
construct a context free grammar for the language l {a^nc^mb^n: n,m Greaterthanorequalto 0}
consider the language L = { a^m b^n : m>2n}, give context free grammar and Nondeteministc pUSH DOWN AUTOMATON