Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Using your favorite implementation of regular expressions (Python, grep, sed,..), input your regex from The attached documents and test to see how many strings from the set of all strings over the alphabet {a,b} of length at most 5, i.e., (''', a, b, ab, .., bbbbb} are described by (1.C., match) each of your input regexes. Note: that you will have to match the *entire* string with the regex, so watch out for this implementation detail. How many strings (you can just give the count) are matched with the attached document
Given that,
Set of input alphabets= {a, b}
The language must contains the strings which have
zero or more a's followed by zero or more b's.
Set of strings in the language= {"", a, b, aa, ab, bb,
aaa, abb, bbb, ...}
Step2
b)
The resultant regular expression for the given
language which contains the strings which have zero
or more a's followed by zero or more b's is:
Regular expression= a*b*
It is a regular language because, it can be
represented as finite state automata with two states
and both that states are final states. The first contains
self loop for input a, for input b it goes to state 2 and
second state contains self loop for input b.
Hence, the given language is said to regular
language.
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Transcribed Image Text:Given that, Set of input alphabets= {a, b} The language must contains the strings which have zero or more a's followed by zero or more b's. Set of strings in the language= {"", a, b, aa, ab, bb, aaa, abb, bbb, ...} Step2 b) The resultant regular expression for the given language which contains the strings which have zero or more a's followed by zero or more b's is: Regular expression= a*b* It is a regular language because, it can be represented as finite state automata with two states and both that states are final states. The first contains self loop for input a, for input b it goes to state 2 and second state contains self loop for input b. Hence, the given language is said to regular language.
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