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 }.
The language can begin with either 0 or 1, so we have the following two productions
We can also have the case when the initial two 0's are not consecutive
So the overall grammar will be as follows
This grammar always generates languages with twice as many 0's as 1's
can somebody answer this question? Give the Context Free Grammars which generate the following languages: a)...
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 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 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 }
Write the context-free grammars which generate the following languages: a. ?={?∈{?,?}∗ | ? is an odd length string}
Construct context-free grammars that generate each of these languages: A. tw E 10, 1 l w contains at least three 1s B. Hw E 10, 1 the length of w is odd and the middle symbol is 0 C. f0, 1 L fx l x xR (x is not a palindrome) m n. F. w E ta, b)* w has twice as many b's as a s G. a b ch 1, J, k20, and 1 or i k
Give context-free grammars to generate the following languages. Each CFG should have at most two variables.
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)}
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 grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}