Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}
Give context-free grammars that generate the following languages. { anw | w in { a, b }*, |w| = 2n, n > 0 } { an bm | n, m ≥ 0; n < 2m } { anx an y | n > 0, x,y in { a, b }* } { ai bj ck | i, j, k ≥ 0; j = i + k }
Formal Languages and Automata Theory Q2. Give context-free grammars that generate the following language: { w є {0, 1} | w contains at least three 1's)
Give context-free grammars generating each of the following languages over Σ = {0, 1}: {w : |w| ≤ 5} {w : |w| > 5 or its third symbol is 1} {w : every odd position of w is 1}
give context free grammer for this language 1. 35 Points] Give context-free grammars for the following languages: (c) wEfa, b, c}* : |w = 5na(w) +2n(w)}
can somebody answer this question? Give the Context Free Grammars which generate the following languages: a) La = {w ∈ {0, 1} ∗ : w has at least twice as many zeroes as ones }.
Give context-free grammars that generate the following languages (E = {a,b}). (a) (1 point) L1 = {w | W contains at least two b's} (b) (1 point) L2 = {w/w = wf, w is a palindrome} (c) (1 point) L3 = {w w contains less a's than b's}. (d) (1 point) LA = {w w = ayn+1, n > 2} (e) (1 points) Ls = {w w = a";2(m+n)cm, m, n >0}; (S = {a,b,c}).
Problem 2 (20 points). Give context-free grammars that generate the following languages. In all parts, the alphabet Sis {0, 1} 1. {w w contains at least two Os} 2. {ww contains a substring 010) 3. {w w starts and ends with the same symbol} 4. {ww = w that is, w is a palindrome }
Give context-free grammars to generate the following languages. Each CFG should have at most two variables.
2. (10 points) Use the pumping lemma for context free grammars to show the following languages are not context-free. (a) (5 points) . (b) (5 points) L = {w ◦ Reverse(w) ◦ w | w ∈ {0,1}∗}. I free grammar for this language L. lemma for context free grammars to show t 1. {OʻPOT<)} L = {w • Reverse(w) w we {0,1}*). DA+hattha follaurino lano
Write the context-free grammars which generate the following languages: a. ?={?∈{?,?}∗ | ? is an odd length string}