Question: 2. Prove or disprove: If L is a regular language then Even(L) = {x L||X| is even} is also regular

2. Prove or disprove: If L is a regular language then

2. Prove or disprove: If L is a regular language then Even(L) = {x L||X| is even} is also regular

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!

Q:

4. For each of the following languages, either prove or disprove that it is a regular language. a. L=L(G) where the productions in G are: S AaB AA 2 BaBbB2 b. L = {w: w=a2b20+1n 1) c. L = {a"b":...

Q:

Let be an alphabet. For a word w = a 1 a n and a (total) function h from to , we use h ( w ) to denote h ( a 1 ) h ( a n ). For a language L over the alphabet, we use h ( L ) to denote { h ( w ) : w...

Q:

Algorithmics course, please explain thoroughly, I'm trying to understand. 2. (standard, 20pt) Let be an alphabet. For a word w=a1an and a (total) function h from to , we use h(w) to denote...

Q:

Just question number 2, thank you Let L be a regular language. Define End(L, a) {x: x elementof L and x is ended with symbol a}. Show that End(L, a) is a regular language. Assume that L is ((aa +...

Q:

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

Q:

Let L be any language over sigma = {0,1}, and let L be the set of all strings that have all their prefixes in L, i.e., L = {x | y z (if x = yz then y L)}. You may use (without proof) the fact that...

Q:

2. Show that the family of regular languages is closed under the nor operator given by nor (L1, L2) = {w:w Lland w & L2} 3. Show that there exists an algorithm for determining if E L for any regular...

Q:

3. Prove or disprove: If L is regular language then Triple(L) = {x \x = uvw where u, v, w E L and|u1 = [v] = [w]} is also regular. Hint: Consider the language L = 0*1

Q:

1 Practice: Another Operation on a Language Define the following operation on languages, OP3, to be: OP3(L)={aabL,b} Give the result of applying OP3 on the following languages (assume strings in the...

Q:

Could you explain each steps? 3. (a) Give the set up and construction steps of a proof that shows that the class of regular languages over an alphabet & is closed under the operation...

Q:

Regarding analysis of residuals, decide in each case which assumption for regression inferences may be violated. a. A residual plotthat is, a plot of the residuals against the observed values of the...

Q:

Clearly, continuing to use paper proxy materials and press releases printed on paper has an impact on the environment. Even when the paper is recycled, the sludge from the ink presents a problem....

Q:

Tsate Kongai ( birthdate 0 2 / 1 4 / 1 9 5 8 ) is an unmarried high school principal. Tsate received the following tax documents ( which are located on separate tabs in the problem ) : W - 2 Form...

Q:

You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio RP P P X 13.5 % 34 % 1.25 Y 12.5 29 1.10 Z 9.3 19 0.70 Market 11.5 24...

Q:

What are some of the business communication differences between Canada and Mexico? (Objective 4)

Q:

Xway Accounting has outsourced preparation of basic income tax forms to technicians working in India. Accountants in the home office will continue to do business tax forms and complex forms for...

Q:

Explain three communication challenges that a U.S. expatriate may face when relocated to an office in China. (Clue: Consider high- and low-context cultures.) (Objective 4)