Prove if the following languages are CFL or not.
If L is a CFL, give its CFG. Otherwise, prove it by Pumping Lemma.
If any closure property of CFL is applicable, apply them to simplify it before its proof.
Prove if the following languages are CFL or not. If L is a CFL, give...
6.) Is the languages Context Free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n 10n | n >= 1}
(3) Consider the following three languages over the alphabet Σ default i,j, k, are non-negative integers (can be 0): (a,b,c,d), where by One of these is not a CFL; the other two are CFLs. Give context-free grammars for the two that are CFLs, and a CFL Pumping Lemma proof for the one that is not a CFL. (You need not prove your grammars correct, but their plan should be clear. (6+6+18 30 pts., for 74 total on the set) (3)...
Use the pumping lemma for context-free languages to prove that L3 is not a CFL. L3 = { w: w e{a,b,c}* and na(w) < nh(w) < nc(w) }.
1. (Non-regular languages) Prove that the following languages are not regular. You may use the pumping lemma and the closure of the class of regular languages under union, intersection, complement, and reverse (b) L2 = { w | w ∈ {0, 1}* is not a palindrome }. A palindrome is a string that reads the same forward and backward
Prove that the following are not regular languages. Just B and F please Prove that the following are not regular languages. {0^n1^n | n Greaterthanorequalto 1}. This language, consisting of a string of 0's followed by an equal-length string of l's, is the language L_01 we considered informally at the beginning of the section. Here, you should apply the pumping lemma in the proof. The set of strings of balanced parentheses. These are the strings of characters "(" and ")"...
Prove that the following languages are not regular. You may use the pumping lemma and the closure of the class of regular languages under union, intersection, and compliment. a){} b){} c) { is not a palindrome} *d)} 0"1"0" m,n>0
3. Decide whether the following language is a CFL. If your answer is “yes”, construct a CFG; if your answer is “no”, prove it using the pumping lemma. L = {xayb | X, Y E {a,b}* and x, y has the same number of a’s}.
Is the following language context free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n | n >= 1}
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
(9 pts 3 pts each) For each of the following languages, name the least powerful type of machine that will accept it, and prove your answer. (Hint: a finite state automata is less powerful than a pushdown automata, which in turn is less powerful than a Turing Machine.) For example, to prove a language needs a PDA to accept it, you would use the Pumping Lemma to show it is not regular, and then build the PDA or CFG that...