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3. Decide whether the following language is a CFL. If your answer is “yes”, construct a...
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. L = {wwRw | w {a, b}*} L = {anbjanbj| n >= 0, j >= 0} L = {anbjajbn| n >= 0, j >= 0}
Is the following language context free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n | n >= 1}
5.) Is the following language context free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n | n >= 1}
John Doe claims that the language L, of all strings over the alphabet Σ = { a, b } that contain an even number of occurrences of the letter ‘a’, is not a regular language. He offers the following “pumping lemma proof”. Explain what is wrong with the “proof” given below. “Pumping Lemma Proof” We assume that L is regular. Then, according to the pumping lemma, every long string in L (of length m or more) must be “pumpable”. We...
(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...
(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...
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...
3. Use the pumping lemma to prove the following language is not regular . Use the pumping lemma to prove the following language is not regular Where is the stringwbut with all the Os replaced by Is and all the し1 = {te E Σ.ead I te _ wu) is replaced by 0s. For example, if w = 00110 then w = 11001.
Please answer any 7 of them ТОС Answer any 7 from the followings: 1. Regular expression to NFA: i) ab(aUb)* ii) (aba U a)*ab 2. Explain and construct a generalized NFA, 3. NFA to regular expression 0 3 91 93 8 a 4. DFA to regular expression 011 5. Explain the rules of pumping lemma briefly with an example. 6. Give an example of right linear grammar and left linear grammar. 7. L(G) = {1*20 m >= 1 and >=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)...