Question: Prove that, for any given string w if w is a palindrome ( that is w = wR ) , and | w | is

Prove that, for any given string w if
w is a palindrome (that is w = wR), and |w| is even
then there is a string v such that vvR = w.

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:

Recall that wR is the reverse of string w. We prove that the palindrome language R={w{0,1}w=wR}, consisting of all binary strings that equal their own reverse, is not regular. Assume for the sake of...

Q:

Can I get help with the first two problems? Problem 1. (25%) You are given a string of n characters x[1...n), which you believe to be a corrupted text document in which all punctation has vanished so...

Q:

3. For any string w = w1w2 wn, the reverse of w written wR is the string in reverse order, wnu'n-1 wi. For any language A, let AR = {wR I w (a) (3 points) Show that if A is regular, so is AR. (b) (3...

Q:

(a) Reversing a string Let & be any alphabet, and let w be a string over 2. The reverse of w, denoted by wR, is defined recursively as: R = e, (wa) = a(w), where a 2 is a character. In English, (wa)R...

Q:

1. [10pt] Prove by induction the following claims (5pt each): (a) For an arbitrary fixed string w, prove that w" = n w for any natural number n E N. (b) (WC) R = RUR for all strings w and 2 in *. (WR...

Q:

The reversal of a string w, denoted wR, can be defined recursively as follows: PR = . If w = ua for some string u E' and some letter a E, then wR = auk. Prove that for all w E", (WR)R = w. In your...

Q:

The goal of this homework is to refresh your discrete math skills, and to accustomize you to seeing strings as mathematical objects. We are going to use these skills later on when analyzing languages...

Q:

Objectives To strengthen student's knowledge of C++ programming To give student experience in writing Object Oriented code Background Stacks are a simple, but useful data structure in Computer...

Q:

Write in C++ Instructions In this assignment, you will implement a node-based stack and use the implementation to solve the palindrome problem. A palindrome is a special word or phrase that when...

Q:

1 . For any string w = w 1 w 2 wn the reverse of w , written wR , is the string w in reverse order, wn w 2 w 1 . For any language A , let AR = { wR | w in A } . Show that if A is regular then so is...

Q:

Seasonal Confections, Inc., a manufacturer of candies for various seasons of the year, wants to set up a standards costing system. The controller decided to set up a standards cost card for one...

Q:

One of the issues that came up in a recent national election is how to deal with a sluggish economy. Specifically, should governments cut spending, raise taxes, inflate the economy (e.g. by printing...

Q:

1 . You are a farmer. It is December 2 0 2 3 ; you expect to produce 1 5 0 0 0 kgs of Cotton by 3 1 March 2 0 2 4 The current price ( 0 1 - Dec - 2 0 2 3 ) of Cotton is Rs 6 1 7 8 0 / - per Bale ( 1...

Q:

5. Develop a scenario comparing two PH programs and involving the use of a CBA.

Q:

2. Take notes as you watch one of your usual TV programs. What are some underlying messages of the story or the events? What are the values and traits of the characters you like the most and the...

Q:

1. LaunchPad for Real Communication offers key term videos and encourages selfassessment through adaptive quizzing. Go to bedfordstmartins.com/realcomm to get access to: LearningCurve Adaptive...

Q:

5. Describe how the convergence of media technologies can enhance or hinder your participation in the social and political process