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{A, B, C, D}∗ is enumerable by describing a listing of all its elements that qualifies as an enumeration TIPS: • Consider the set {A, B, C, D} ∗ of all finite strings over the symbols A, B, C and D. • Examples of such strings include, ε, A, C, ABCD, AACCD, CADB, etc. • For a string s ∈ {A, B, C, D}∗ , define the length of s (notation |s|) as follows: – |ε| = 0. – If X ∈ {A, B, C, D} and s ∈ {A, B, C, D}∗ then |Xs| = 1 + |s|. For example, |ABABCD| = 6.

{A, B, C, D}∗ is enumerable by describing a listing of all its elements that qualifies as an enumeration TIPS: • Consider the set {A, B, C, D} ∗ of all finite strings over the symbols A, B, C and D. • Examples of such strings include, ε, A, C, ABCD, AACCD, CADB, etc. • For a string s ∈ {A, B, C, D}∗ , define the length of s (notation |s|) as follows: – |ε| = 0. – If X ∈ {A, B, C, D} and s ∈ {A, B, C, D}∗ then |Xs| = 1 + |s|. For example, |ABABCD| = 6.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Show that {A, B, C, D}∗ is enumerable by describing a listing of all its elements that qualifies as an enumeration TIPS: • Consider the set {A, B, C, D} ∗ of all finite strings over the symbols A, B, C and D. • Examples of such strings include, ε, A, C, ABCD, AACCD, CADB, etc. • For a string s ∈ {A, B, C, D}∗ , define the length of s (notation |s|) as follows: – |ε| = 0. – If X ∈ {A, B, C, D} and s ∈ {A, B, C, D}∗ then |Xs| = 1 + |s|. For example, |ABABCD| = 6.
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