Question: Give a regular expression that generates the language L is the set of strings w over {a,b} such that no prefix of w has two more a's than b's or two more b's than a's. For example, the string abbab E L since for each of the prefixes (a, ab, abb, abba, and abbab), the number of a's is never more than one more than the number of b's, and the number of b is is never more than one more than the number of a's. However, baaabb # L, since in the prefix baaa, there are two more a's than b's. Similarly, ababbbab #L, since in the prefix ababbb, there are two more b's than a's.
Question: Give a regular expression that generates the language L is the set of strings w over {a,b} such that no prefix of w has two more a's than b's or two more b's than a's. For example, the string abbab E L since for each of the prefixes (a, ab, abb, abba, and abbab), the number of a's is never more than one more than the number of b's, and the number of b is is never more than one more than the number of a's. However, baaabb # L, since in the prefix baaa, there are two more a's than b's. Similarly, ababbbab #L, since in the prefix ababbb, there are two more b's than a's.
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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Transcribed Image Text:Question: Give a regular expression that generates the
language
L is the set of strings w over {a,b} such that no prefix of w
has two more a's than b's or two more b's than a's.
For example, the string abbab E L since for each of the
prefixes (a, ab, abb, abba, and abbab), the number of a's
is never more than one more than the number of b's, and
the number of b is is never more than one more than the
number of a's. However, baaabb # L, since in the prefix
baaa, there are two more a's than b's. Similarly, ababbbab
#L, since in the prefix ababbb, there are two more b's
than a's.
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