Please answer all questions will give rating surely Recall that the set {0,1}* is the set of finite length bit strings defined recursively by thefollowing rules:Foundation rule: The empty string A E {0,1}*.Constructor rule: For s E {0,1}*, s1 E {0,1}* and s0 E {0,1}*.Consider the recursive function flip which takes a bit strings for input and gives a bitstrings as output, defined by the following:Foundation rule: flip(^) = \.%3DConstructor rule: For s E {0,1}*, flip(sO) = flip( s )1 and flip( s 0) = flip( s )1.%3Dа.What is the output when flip is applied to the following strings? For full-credit, you must show the step-by-step application of the flip function.i. 010ii. 1101iii. 0010Use structural induction to show that flip(flip(s)) = s for any s E {0,1}*.%3Db.

Here, λ∈{0,1}* The function flip is defined as follows- flip(λ)=λ But the construction rule is as…

Answered: Please answer all questions will give…

Engineering

Computer Science

Please answer all questions will give rating surely

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please answer all questions will give rating surely

Recall that the set {0,1}* is the set of finite length bit strings defined recursively by the
following rules:
Foundation rule: The empty string A E {0,1}*.
Constructor rule: For s E {0,1}*, s1 E {0,1}* and s0 E {0,1}*.
Consider the recursive function flip which takes a bit strings for input and gives a bit
strings as output, defined by the following:
Foundation rule: flip(^) = \.
%3D
Constructor rule: For s E {0,1}*, flip(sO) = flip( s )1 and flip( s 0) = flip( s )1.
%3D
а.
What is the output when flip is applied to the following strings? For full-
credit, you must show the step-by-step application of the flip function.
i. 010
ii. 1101
iii. 0010
Use structural induction to show that flip(flip(s)) = s for any s E {0,1}*.
%3D
b.

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