Consider the following E-NFA. {9,r} Sols 19 a. Compute the E-closure of each state. b. Convert...
Can you please provide solutions for both exercises. Thank you * Exercise 2.5.1: Consider the following e-NFA a) Compute the e-closure of each state. b) Give al the strings of length three or less accepted by the automaton c) Convert the automaton to a DFA Exercise 2.5.2: Repeat Exercise 2.5.1 for the following e-NFA: *r
Here is a nondeterministic finite automaton: 0 0 0,1 A B cal 1 0 Convert this NFA to a DFA, using the "lazy' version of the subset construction Which of the following sets of NFA states becomes a state of the DFA constructed in this manner? (B.CD) (A,B,D) (B) (AD)
7. Consider the following NFA 2 a, 7 Assume we convert this NFA to an equivalent DFA (without removing unnecessary states) Consider the following statements P the start state of the DFA is {1,2, 3) Qthe DFA has 24 accept states. R when the DFA is in state 5) and reads an a, it switches to the state 1,2,3, 4,5) Which of the following are correct? (a) P is true, Q is true, R is false. (b) P is false,...
6. Consider the following NFA A: Write down the tabular representation of A, and convert A to a DFA using the subset con- struction. Give the DFA both in tabular form and as a transition diagram.
5.[10 points] Convert the following NFA to equivalent DFA E 1 a a, b 5.[10 points] Convert the following NFA to equivalent DFA E 1 a a, b
Consider the NFA N with states labeled q1, q2 and q3, where q1 is the start state and q2 and q3 are the final (accepting) states. The transition function for N is δ(q1,a) = {q1}, δ(q1,b) = {q1,q2}, δ(q2,a) = {q3}, δ(q2,b)= ∅, δ(q3,a)= ∅, and δ(q3,b)= ∅. Let L be the language recognized by N i.e. L(N). a) Draw the state diagram for N. b) Describe in plain English what's in the language L. c) Via the construction NFA to...
Consider an NFA defined by the following transition table q a b λ 1 {1} Ф {2,4} 2 {3} {5} Ф 3 Ф {2} Ф 4 {5} {4} Ф 5 Ф Ф Ф Convert this table to the corresponding table for the NFA without λ transitions Convert the resulting NFA into DFA.\ Consider an NFA defined by the following transition table 4 а ь 2 1 {1} {2,4} 2 {3} {5} 3 0 {2} 4 {5} {4} 5 ¢ (a)...
= {a,b}: 1. (9 pts) Consider the following three languages, all subsets of S* where • L = {w w is a word such that we is divisible by 3). . L2 = {w w is a word whose length is divisible by 4 }. • L3 = {w w is a word such that wla >3}. (a) For each language construct a DFA that recognizes that language. (b) Construct an automaton that recognizes Lin L2. If the constructed automaton...
Question 8, please. 2. Prove: (a) the set of even numbers is countable. (b i=1 3. The binary relation on pair integers - given by (a,b) - (c,d) iff a.d=cbis an equivalence relation. 4. Given a graph G = (V, E) and two vertices s,t EV, give the algorithm from class to determine a path from s to t in G if it exists. 5. (a) Draw a DFA for the language: ( w w has 010 as a substring)....
7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa 7. 15 Points For a regular expression r, we use L(r) to denote the language it represents. For each of the following regular expressions r, find an NFA that accepts L(r). (b). L((a +b+A) b(a bb)) し(((aa