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
Consider an NFA defined by the following transition table q a b λ 1 {1} &nbs
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,...
2. (a) Using Thompson's construction, construct an NFA that recognizes the same language as defined by the following regular expression (1 010) *1 (b) Using the subset construction, convert the NFA into a DFA. Optimize the resulting DFA by merging any equivalent states
4. (5 points) Conversion form NFA to equivalent DFA Convert the following NFA into an equivalent DFA by using the Powerset-Construction. Write the transition table and draw the final DFA. start — 9o
I need help with that 5. Let Σ-ta, b). Write the δ function for the following (1) dfa (δου'Qu Σ-Q) and (2) nfa (5,ra : Q x (BU {λ)) → P(D) respectively. 92 92 6. Give the languages accepted by the dfa and nfa in the above 6 (1) and 6(2), respectively 7. (1) When is a language L called as regular? (2) (i) Prove language L = {а"wb: we {a, b) *,n2 O} įs regular by design an nfa...
Question2 in the photo. Please help. Thanks 1. Construct an NFA that accepts the language La = {zaaabyaaabzla, y, z E {a, b)' } 2. Eliminate the e-transitions (denoted as E's below) from the following NFA s.t. the resulting machine accepts the same language with the same mumber of states. ql a,b go q3 2 3. Text problem: page 62, number 3. Finish by reducing the DFA. Note that you may want to do this in stages, first eliminating the...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
2. Consider the following relations defined from Λ to B, where Λ and B are defined as indicated. In each case, prove or disprove that f is a function from Λ to B. If f is a function frorn Л to B, determine whether or not the notation f:A-> B can be used. If not, how could Λ be changed to make the notation correct? 1+22- (g) Λ-R, l-R, and f(x) V1-3. 0 if Q 1 if 2 ERIQ (j)...
3. Given the regular expression (a[b)a(a[b)*. [5 marks] (a) Draw the corresponding NFA diagram using the Thompson construction; (b) Transform the NFA to DFA using subset construction. You need to write the derivation process and draw the resulting diagram; [4 marks] [5 marks (c) Express the RE using a CFG 3. Given the regular expression (a[b)a(a[b)*. [5 marks] (a) Draw the corresponding NFA diagram using the Thompson construction; (b) Transform the NFA to DFA using subset construction. You need to...
FOR the regular expression r= (a+b)*abb (1) Find the NFA without ε-moves for r. (2) Convert the resulted NFA in (1) into DFA (3) Find minimized DFA for the result in (2)
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