Question: This question illustrates differences and commonalities between NFAs and DFAs. (a) Show that if M is a DFA that recognizes language B, then swapping the

This question illustrates differences and commonalities between NFAs and DFAs. (a)

This question illustrates differences and commonalities between NFAs and DFAs. (a) Show that if M is a DFA that recognizes language B, then swapping the accept and nonaccept states in M yields a new DFA M' recognizing the complement of B, B. Which operation does this imply the regular languages are closed under? (b) Prove by counterexample that if M is a NFA that recognizes languages B, then swapping the accept and nonaccept states in M does not necessarily yield an NFA recognizing B. With this in mind, is the class of languages recognized by NFA's closed under complement (explain your answer!)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

we have shown that if M is a DFA that recognizes a language A then we can obtain a DFA M' that recognizes by swapping accept and non-accept states in M. (a) Show, by giving an example, that if M is...

Homework 2 Problem 1. (5 points) Given two NFA's M and M2, show how you will con- struct an NFA M such that L(M)=L(M) n L(M2). Problem 2. (15 points) For each of the following languages over the...

{ THEOREM 1 . 3 9 Every nondeterministic finite automaton has an equivalent deterministic finite automaton. THEOREM 1 . 4 9 The class of regular languages is closed under the star operation. } 1 . 1...

Nondeterminism 5. Give an NFA with the specified number of states for recognizing each language below. In each case, I = {0, 1} (a) [7 pts) L1 = {w W contains an even number of Os or contains exactly...

a. Show that if M is a DFA that recognizes language B, swapping the accept and nonaccept states inM yields a new DFA recognizing the complement of B. Conclude that the class of regular languages is...

Give the state diagram of NFAs recognizing the following languages. In all parts, the alphabet is {0,1}. DFA and NFA design 1. Give state diagrams of NFAs recognizing the following languages. In all...

Show that if M is a DFA that recognizes language B , swapping the accept and nonaccept states in M yields a new DFA recognizing the complement of B . Conclude that the class of regular languages is...

6. (a) [5 pts] Show that if M is a DFA that recognizes language B, swapping the accept and nonaccept states in M yields a new DFA recognizing the complement of B. Conclude that the class of regular...

a . Show that if M is a DFA that recognizes language B , swapping the accept and nonaccept states in M yields a new DFA recognizing the complement of B . Conclude that the class of regular languages...

(a)Show that if M is a DFA that recognizes language B, swapping the accept and nonaccept states in M yields a new DFA recognizing the complement of B. Conclude that the class of regular languages is...

Cocoa Traders trades in hardware. The companys merchandise are sold at the head office in Midrand and at the branch in Giyani. All the merchandise are purchased by the head office and dispatched to...

The Hazard rate for a reference entity is 16.98% each year. Assume payments are made annually in arrears. Assume that default, if it happens, always happens exactly halfway through a year. Assume...

The Feb 28th bank statement for Leap Tools Inc. reflects a balance of $45,000. Outstanding cheques issued by Leap Tools at this date total $6,000. One deposit was made in the amount of $10,000 and...

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

4. What advice would you give to Carol Sullivan-Diaz?

2. Why do people dislike going to the dentist? Do you feel Dr. Beckett has addressed this problem effectively?

6. Evaluate Dr. Becketts website (http://www.mychicodentist.com). What strengths do you think the website has? What improvements would you suggest?