Find a minimal DFA for the following language. And Prove that your result is minimal. L...
Problem 2 (1) Find a DFA for the language L = {a"V" : n + m is odd). (2) Then find a regular grammar for the language L
Find a dfa that accept the following language L((aa∗)∗ + abb)
Prove that the language L = {0^n1^m0^n | m, n greaterthanorequalto 0} is not regular.
Show that the following language is decidable. L={〈A〉 | A is a DFA that recognizes Σ∗ } M =“On input 〈A〉 where A is a DFA:
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 ")"...
Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...
Data Structures/Automata/Complexity: I know what the regular expression and minimal DFA is of this problem; however, I'm stuck on Part C when determining if the given language is a regular language via pumping lemmas. 1. RL and FSA-Total (40 points) Let ?= {0,1} 0,1 Figure 1: a. (10 pts) What is the regular expression generating the language recognized by the NFA in Figure 1? b. (20 pts) Convert the NFA in Figure 1 to a minimal DFA c. (10 pts)...
Give a DFA for the following language over the alphabet Σ = {0, 1}: L={ w | w starts with 0 and has odd length, or starts with 1 and has even length }. E.g., strings 0010100, 111010 are in L, while 0100 and 11110 are not in L.
Let M be a DFA that recognizes a finite language A, and suppose M has n states. Determine if the following statement is true or false: if w Element of A, then |w| < = n. Prove your answer.
Design a DFA with 2 states that accepts the language of all binary numbers that are divisible by 3. Demonstrate it with a two-state DFA and a proof that the accepted language is precisely binary strings representing numbers divisible by 3. Otherwise, prove that such a two-state DFA is impossible.