Solution:
3. Given the regular expression (a[b)a(a[b)*. [5 marks] (a) Draw the corresponding NFA diagram using the...
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.
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
6. (a) Use Thompson's construction to convert the above regular expression 1(0/1) *101 into an NFA (7 points) (b) Convert the NFA of part (&) into a DFA using the subset construction (points)
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...
3 points) Question Three Consider the context-free grammar S >SS+1 SS 1a and the string aa Give a leftmost derivation for the string. 3 points) (4 poiots) (5 points) (3 points) sECTION IWOLAttcmpt.any 3.(or 2) questions from this.scction Suppose we have two tokens: (1) the keyword if, and (2) id-entifiers, which are strings of letters other than if. Show the DFA for these tokens. Give a nightmost derivation for the string. Give a parse tree for the string i) Is...
a. Draw the transition diagram for the DFA b. Construct a regular expression for the language of the DFA by computing all the R_ij^(k) regular expressions. Consider the following DFA: 1 A В C B A C В
(a) (5 Points) Construct an equivalent NFA for the language L given by the regular expression ((a Ub) ab)*. Please show the entire construction, step-by-step, to receive full points.
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)....
6. (10 points) Given the following circuit diagram, please find out the corresponding logic expression F. Re-write the function F using the canonical sum-of-products representation (Note that the final answer needs to be a logic expression without using the m, M, or notations) NS