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Instead of talking about a specific regex, let\'s consider the language of regul

ID: 3858928 • Letter: I

Question

Instead of talking about a specific regex, let's consider the language of regular expressions (as strings) over the alphabet {0, 1, epsilon, [, ], empty set, U, o, *}^1 (epsilon represents the empty string as a character, o represents concatenation as a character, U represents union as a character, * represents Kleene star as a character, and [, ] represent parentheses/brackets as characters). For example, the regex R for "single characters" is: R = (0 union 1 union epsilon union empty set) because brackets need to be matched up. Similar reasoning goes for U, o, *. Create a regex S that recognizes exactly the language of such regexes.^3 Explain, in English, why your regex is correct For partial credit, you can instead handle the case of no brackets at all as is described in Part 3 below. (If you do so for Part 1, you won't lose any points in Part 2 if applied correctly.)

Explanation / Answer

regex( regular expression) represent a language.

1. R1 U R1

2. R1 * R2

3. R1 o R2

are all regex.

Example:

S= 1*01*

means, this set contains a single 0 (zero)

S=(1*(01+)*

means every 0 in S is followed by at least one 1