Question: Let = {0,1} and let D = {w|w contains an equal number of occurrences of the substrings 01 and 10}. Thus 101 D

Let = {0,1} and let

D = {w|w contains an equal number of occurrences of the substrings 01 and 10}.

Thus 101 ∈ D because 101 contains a single 01 and a single 10, but 1010 ∉ D because 1010 contains two 10s and one 01. Show that D is a regular language.

Step by Step Solution

★★★★★

3.35 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Notice that regular languages are not closed under the subsetsuperset relation The union and interse... View full answer

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 Introduction theory computation Questions!

Let BAL DFA = {M| M is a DFA that accepts some string containing an equal number of 0s and 1s}. Show that BALDFA is decidable. Theorems about CFLs are helpful here.

Give implementation-level descriptions of Turing machines that decide the following languages over the alphabet {0,1}. A a. {w| w contains an equal number of 0s and 1s} b. {w| w contains twice as...

LetD = {xy|x, y {0,1} * and |x| = |y| but x y}. Show thatD is a context-free language.

( 1 0 points ) Problem 1 . 5 3 . Let = { 0 , 1 } and let contains an equal number of occurences of substrings 0 1 and 1 0 } . Thus 1 0 1 inD because 1 0 1 contains a single 0 1 substring and a single...

B. (&pt) Let E = {0,1} and let E = {w/w contains unequal number of occurrences of the substrings 01 and 10). Thus 101 E E because 101 contains a single 01 and a single 10, but 1010 E because 1010...

Consider the following language Ly over the alphabet {0,1}: {"1" 2m >n>0} Show that this language is not regular. Consider the following Language over the alphabet {0,1}: { w w contains an equal...

4. Consider the following Language over the alphabet {0,1}: { w w contains an equal number of occurrences of the substrings 01 and 10} Thus 101 E A because 101 contains a single 01 and a single 10....

Let sigma = {0, 1}, and let D = {w | w contains an equal number of occurrences of the substrings 01 and 10} Thus 101 elementof D because 101 contains a single 01 and a single 10, but 1010 D because...

i need help on 32,35,37 and some part that said Wrong on financial statement, change in retained earning, and balance sheet! The point are error. 12 A B Number Name 2 1110 Cash 3 1120 Accounts...

What are the steps in developing a budgeted variable overhead cost-allocation rate?

Consider the PI speed control system shown in Figure 10.6.2, where I = c = 2. The desired time constant is = 0.1. (a) Compute the required values of the gains for the following three sets of root...

A household purchase a home for $ 3 2 5 , 0 0 0 . They made a 1 0 % downpayment and paid for the remainder with a 3 0 year 5 . 7 5 % fixed rate fully amortizing loan. Seven years later they can...

Use Shepards to evaluate Stange (282 US 270). a. What are the parallel citations for this case? What precedence symbol is associated with this case? b. What is the highest court to have heard this...

Write a Java class that extends the Progression class so that each value in the progression is the absolute value of the difference between the previous two values. You should include a default...

Modify the advance method of the FibonacciProgression class so as to avoid use of any temporary variable.

Explain why the Java dynamic dispatch algorithm, which looks for the method to invoke for a call obj.foo( ), will never get into an infinite loop.

In Vogue, a T-shirt business, is growing fast and needs a better accounting information system. Consider the features of an effective system. Which features are most important? Why? Which feature...

On the balance sheet, current liabilities are generally listed before non-current liabilities. O in order of liquidity. O as the first category in the liability section. O any of the above are...

Roletter Company makes and sells artistic frames for pictures of weddings, graduations, and other special events. Ron Kyler, the controller, is responsible for preparing Roletter's master budget and...