1.Give a DFA for the following language:
L2={a^n b^m:m≥0,n≥0, and (n not= 1 or m not= 1)}∪{ba}.
2.Provide a simple but precise verbal description for the language:
L4={0^n 1^n+1:n≥0}.

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1.Give a DFA for the following language: L2={a^n b^m:m≥0,n≥0, and (n not= 1 or m not=...
Let L, be the language accepted by the DFA below and L2 = {0"1"Om1 mol 1|n, m, k > 0}. Create a CFG that generates L3 = L, UL2 using the techniques pre sented in textbook. 0 start -> 0 10
Automata Question. Over the alphabet Σ = {0, 1}: 1) Give a DFA, M1, that accepts a Language L1 = {all strings that contain 00} 2) Give a DFA, M2, that accepts a Language L2 = {all strings that end with 01} 3) Give acceptor for L1 intersection L2 4) Give acceptor for L1 - L2
3. (20) Give proofs of the following: a. The question: "Given a DFA M and a string w, does M accept w" is decidable. b. Given two Turing-acceptable language Li and L2, the language LtLz is also Turing-acceptable. [D not use non-determinism. Do be sure to deal with cases where a TM might loop.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
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.
Construct a DFA for the simpler language, then use it to give the state diagram of a DFA for the language given. In all parts, Σ = {0, 1} {w|w is any string not in 0*1*}
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.
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
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...
Question 5. Let Σ = {a, b}, and consider the language L = {a n : n is even} ∪ {b n : n is odd}. Draw a graph representing a DFA (not NFA) that accepts this language. Question 6. Give a brief description of the language generated by the following production rules. S → abc S → aXbc Xb → bX Xc → Ybcc bY → Yb aY → aa aY → aaX