Please find the answers below.
a. Draw the transition diagram for the DFA b. Construct a regular expression for the language...
1. Construct a DFA for each of the following regular expressions: a) ab + c b) a*b + c c) ab*c*+ ac 2. Construct an NFA for the following regular expression: a) (a + b)*ab b) a*b* c) a*b* + c d) a* + b* e) a* + b* + ac*
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*}
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...
regular expression is (00)*11+10. 1into an ?-NFA. Give state transition diagram of the ?-NFA as well as its state transition table showing ?-closure of the states. 2 Convert the ?-NFA to a DFA by the subset construction. Give state transition diagram of the DFA.
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...
4(10 points] Let A be the language over the alphabet -(a, b) defined by regular expression (ab Ub)aUb. Give an NFA that recognizes A. Draw an NFA for A here 5.10 points] Convert the following NFA to equivalent DFA a, b 4(10 points] Let A be the language over the alphabet -(a, b) defined by regular expression (ab Ub)aUb. Give an NFA that recognizes A. Draw an NFA for A here 5.10 points] Convert the following NFA to equivalent DFA...
6. Draw the transition graph corresponding to the following regular grammar and find the regular expression of the language it generates. (10 points)
Using formulas for r_i, j^k find a regular expression for the following dfa: Determine a right-linear grammar G for the language accepted by the following dfa: Find the dfa that accepts the intersection of languages accepted by dfas from problem 1 and problem 3. Use the construction based on pairs of states.
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)...