Probably the following is much less efficient than the other solutions
proposed, but I find it easier to understand (and if I didn't
misunderstand the problem it gives the right answer).
(defn simplify-1
"remove adjacent pairs of opening/closing brackets"
([string] (simplify-1 "" string))
([prefix [a & [b & cdef :as bcdef]]]
(cond (nil? a) prefix
(#{"()" "[]"} (str a b)) (recur prefix cdef)
:otherwise (recur (str prefix a) bcdef))))
(defn simplify [s]
(let [ss (simplify-1 s)]
(if (= ss s) ss (recur ss))))
(defn balanced? [s]
(empty? (simplify s)))
Cheers,
Carlos
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