Formal Languages & Automata Theory 1411372
Pages 133,134
Problems: 7(a,b), 8 (b,c)
Formal Languages & Automata Theory 1411372 Pages 133,134 Problems: 7(a,b), 8 (b,c) 5.1 CoNTEXT-FREE GRAMMARS 133...
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)
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)
Formal Languages & Automata Theory 1411372 Pages 169, 170 Problems: 5, 13. 6.2 Two IMPORTANT NORMAL FORMS 169 heorem 6.7 For every context-free grammar G with λ ¢ L (G), there exists an equivalent grammar G in Greibach noma or EXERCISES 5Convert the grammar / into Chomsky ormal for
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
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 }
Theory of Computation - Push Down Automata (PDA) and Context Free Grammars (CFG) Problem 1. From a language description to a PDA Show state diagrams of PDAs for the following languages: a. The set of strings over the alphabet fa, b) with twice as many a's as b's. Hint: in class, we showed a PDA when the number of as is the same as the number of bs, based on the idea of a counter. + Can we use a...
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...
Can someone do PART C ONLY (k=n+m) please?? Thanks!! 12. Find context-free grammars for the following languages (with n2 0, m 2 0, k 20): (a) L = {anlynck : n = m or m k). (b) L = {anbmck : n = 111 or 111 # 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}).
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