the language L = { x ∈ [a,b]* | x starts with b, does not contain the substring aa and ends with an a
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Consider the language L = { x ∈ [a,b]* | x starts with b, does not contain the substring aa and ends with an a} Draw the finite automata.
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- 10. a. Define clearly but completely: Language L is decidable. b. Let ALLDFA = {M: M is a DFA and L (M) = Σ*} — that is, this is the language of deterministic finite automata that accept all strings. Show that ALLDFA is decidable.Q4: Let Σ = {0, 1, #} and define a language B over Σ as follows: B = {r#s: r,s = {0, 1}^*, r is a substring of s}. Prove that the language B is not context freeCreate a Deterministic Finite Automaton (DFA) for the language L that is defined over the input alphabet E = {a, b} and has all of the following properties: i. Second and third letters of its words are the same, ii. Its words are longer than four letters, and iii. Its last letter cannot be the letter b. My answer is true or wrong? If it is wrong can you fix it? 96 91 92 a a. 95 9. 96
- Let for ∑= {0,1} R= (∑∑∑) *, the language of R would be a) {w | w is a string of odd length} b) {w | w is a string of length multiple of 3} c) {w | w is a string of length 3} d) All of the mentioned Theory of automata questionWhy It is not possible to design a general finite automata for checking a string in the form ?Finite AutomataA. {w| w begins with an "a" and ends with a "b"}B. {w| w contains at least three a's}
- Formal language Let’s define languages: L1 = {wan | w is an arbitrary string containing a’s and b’s, of length n}, Σ = {a, b} L2 = {w | 01∗0(11 + 00)∗} , Σ = {0, 1} Find out if the language is regular or not?Construct a CFG and PDA for the language B={w| w is a string over {a,b} with the same count of a's and b's}. For example, abba € B, abab e B,aabb € B, babbbaaaba € B, that is, there is no particular order in which a's and b's appear in w as long as there is the same amount of them.push down automata for L= {axbycm such that y - m = x}.
- Draw this finite automata. The NFA M below recognizes the language C = { w ∈ Σ∗| w ends with 00 },where Σ = {0, 1}.Define a NPDA for the language L= {uv € {a, b}*||u|l = |v| and u # v*}. Another way to interpret L is that it is the set of all cven length strings that are not a palindrome.The language Balanced over E = {(,)} is defined recursively as follows 1. ЛЄ Вalanced. 2. Vx, y € Balanced, both xy and (x) are elements of Balanced. A prefix of a string x is a substring of x that occurs at the beginning of x. Prove by induction that a string x belongs to this language if and only if (iff) the statement B(x) is true. B(x): x contains equal numbers of left and right parentheses, and no prefix of x contains more right than left.