Construct context-free grammars that generate the following languages. In all cases, Σ = {0,1}. Do not copy other peoples answers. In addition, please explain thoroughly.
Here number of 0's are twice the number of 1's
Grammer :
S --> 00S1/001/
Explanation:
L = {, 001, 000011, 000000111, ....}
S --> 00S1 ; for every 1 we are putting 2 0's
Construct context-free grammars that generate the following languages. In all cases, Σ = {0,1}. Do not...
Write the context-free grammars which generate the following languages: a. ?={?∈{?,?}∗ | ? is an odd length string}
Give context-free grammars to generate the following languages. Each CFG should have at most two variables.
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 }.
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 }
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}
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
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
3.) a. Explain the difference between context free and context sensitive languages and grammars. Provide an example of a context free language and a context sensitive language (that is not Context free) b. Explain the differences in the grammar representation (i.e. specifically state what grammar constructs are allowed in a Context Sensitive Grammar as compared to a Context Free Grammar)