Comprehension

A machine is represented by states Q, input alphabet Σ, transition function δ. Initial state qo and final state F. The machine accepts all the strings over Σ = {a,b}, which starts and ended with any combination of all alphabet and abb works/lies in all the strings to be accepted 

For the above specified passage, which of the following represents the regular expression?

  1. (a + b)* aab
  2. aba(a + b)*
  3. b(a + b)* b(a + b)* a(a + b)*
  4. (a + b)* abb(a + b)*

Answer (Detailed Solution Below)

Option 4 : (a + b)* abb(a + b)*

Detailed Solution

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The correct answer is (a + b)* abb(a + b)*.

key-point-image Key Points

  • The given regular expression (a + b)* abb(a + b)* matches any string that has "abb" in between any combination of 'a' and 'b' characters.
    • The part (a + b)* indicates any combination (including none) of 'a' and 'b' characters before "abb".
    • The part abb is the fixed substring that must appear in the string.
    • The part (a + b)* after "abb" indicates any combination (including none) of 'a' and 'b' characters after "abb".
  • This regular expression ensures that "abb" is always present in the string, surrounded by any number of 'a' and 'b' characters.

additional-information-image Additional Information

  • Regular expressions are powerful tools used for pattern matching and string manipulation.
  • They are widely used in various programming languages and tools for searching, replacing, and validating text.
  • Understanding the components and structure of regular expressions is essential for effectively utilizing them in different applications.
  • Common operations using regular expressions include searching for specific patterns, validating input data, and parsing text.
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