Question

Give a regular expression representing the language of all strings containing 010 as a substring?

Answer 1

A regular expression for all strings containing the substring 010 is (.*).010(.*) which includes the sequence 010 and allows any characters, including none, before and after it.

Step-by-step explanation:

The student is asking for a regular expression that represents the language of all strings containing the substring 010. The regular expression that fulfills this requirement would allow for any sequence of characters before and after the specific substring 010, including the possibility of having no characters on either side.

A regular expression that matches this language is: (.*)010(.*)

This expression can be broken down as follows:

• The .* allows for any character (except newline) to be repeated zero or more times.
• The sequence 010 specifically matches the desired substring.
• Again, .* after the sequence allows for any characters following the substring 010.