Simplify this regular expression

AI Thread Summary
The discussion revolves around simplifying the regular expression (a U b)*(a U e)b* U (a U b)*(b U e)a*. The participants are encouraged to break down the components, starting with the strings described by (a U b)* and (a U b)*(a U e). They explore whether these two sets of strings are different or the same, analyzing the implications for simplification. The focus is on understanding the structure of the expressions to derive a clearer, more concise version. Ultimately, the goal is to apply these insights to simplify the original regular expression effectively.
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I'm unsure if this regular expression can be simplified, if it can, could you please explain how?

Thank you!

(a U b)*(a U e)b* U (a U b)*(b U e)a*

The e is the empty string, and the U stands for union.
 
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Start with baby steps.

Describe all the strings in (a U b)*.
Then describe all the strings in (a U b)*(a U e).
Are the two sets different? Are the two sets the same? Why or why not?
Can you learn something from this that you can apply to another part of the problem?
Can you learn something from all this to answer the question?
 

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