Calm down, everyone. Brackets form a tree structure, and can be represented by a free magma, while strings with concatenation are equivalent to a free monoid. You’re essentially asking for the two respective common unipotent operations to be connected by this map, just because they’re unipotent, which put that way is a wild guess at best. In fact, reversing this string produces something outside the range of the map entirely, which is injective and so can’t be surjective for combinatoric reasons.
… Yeah I might be the only person that finds that useful.
Yes it does bother me a little that the letters in the latter half of my username can't be written backwards. (Well, some can, and the p can become a q, but then it's not a p any more.)
That’s a palindrome because the reverse is the same. The comment above you shows that the one above isn’t a palindrome since the reverse is different, not showing a palindrome