Question: Call a regular expression star-free if it does not contain any star operations. Then, let EQ SFREX = {R, S| R and S are equivalent

Call a regular expression star-free if it does not contain any star operations. Then, let EQ_SF−REX = {〈R, S〉| R and S are equivalent star-free regular expressions}. Show that EQ_SF−REX is in coNP. Why does your argument fail for general regular expressions?

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