Write the context-free grammars which generate the following
languages:
a. ?={?∈{?,?}∗ | ? is an odd length string}
Regular expression for generating odd length string is (a+b)((a+b)(a+b))*
context free grammar from above regular expression is:
S->AB
A->a | b
B-> aaB | abB | baB | bbB | ε
where S,A,B are variables and a,b,ε are terminals
Write the context-free grammars which generate the following languages: a. ?={?∈{?,?}∗ | ? is an...
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 }.
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.
Give context-free grammars to generate the following languages. Each CFG should have at most two variables.
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)
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
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 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 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}).
For each of the following, construct context-free grammars that generate the given set of strings. If your grammar has more than one variable, we will ask you to write a sentence describing what sets of strings you expect each variable in your grammar to generate. For example, if your grammar were: S → EO E → EE CC 0+ EC C+01 We would expect you to say “E generates (non-empty) even length binary strings; O generates odd length binary strings;...