Formal Languages and Automata Theory

Grammar: --------- S -> 0S | 1S | 1A A -> 0A | 1A | 1B B -> 0B | 1B | 1C C -> 0C | 1C | ε
Formal Languages and Automata Theory Q2. Give context-free grammars that generate the following language: { w...
Formal Languages & Automata Theory 1411372
Pages 133,134
Problems: 7(a,b), 8 (b,c)
5.1 CoNTEXT-FREE GRAMMARS 133 EXERGISES 7. Find context-free grammars for the following languages (with n 2 0, m 0) (a) L = {a"b"": n < m + 3).
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 }
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. { 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 }
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}).
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)}
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
Automata Theory Give a context-free grammar producing the following language over Σ = {0, 1}: {w : every odd position of w is 1 and w = wR} (HINT: All strings in the language will be of odd length).
For context the class is about Automata, Computability, and
Formal Languages
I just need parts b & e done
14. Find grammars for E = {a, b} that gener- ate the sets of (a) all strings with exactly two a's. (b) all strings with at least two a’s. (c) all strings with no more than three a's. (d) all strings with at least three a’s. (e) all strings that start with a and end with b. (f) all strings with...
Give context-free grammars for the following languages: (b) {w € {a,b}* : na(w) # 2n6(w)}