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 λ = {0,1}*. Constructor rule: For s = {0,1}*, s1 = {0,1}* and so = {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: a. Foundation rule: flip(X) = A. Constructor rule: For s = {0,1}*, flip(s0) = flip( s )1 and flip(s 0) = flip(s)1. 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 €1011*

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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 λ = {0,1}*.
Constructor rule: For s E {0,1}*, s1 = {0,1}* and sO 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:
a.
Foundation rule: flip(X) = X.
Constructor rule: For s = {0,1}*, flip(s0) = flip( s )1 and flip(s 0) = flip(s)1.
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
Ain(flin(c)) - for any s = {0,1}*.
Transcribed Image Text: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 λ = {0,1}*. Constructor rule: For s E {0,1}*, s1 = {0,1}* and sO 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: a. Foundation rule: flip(X) = X. Constructor rule: For s = {0,1}*, flip(s0) = flip( s )1 and flip(s 0) = flip(s)1. 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 Ain(flin(c)) - for any s = {0,1}*.
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