User blog comment:Jamazzzzzzzz/Bracket Notation/@comment-37246647-20190517014125/@comment-35470197-20190526001944

No. It is ill-defined. For example, you have 2(2)2 = 2(2)(2)2 = 2(2)_{1}(2)_{1}2 = 2(2)_{1}(2)_{0}(2)_{1}(2)_{0}2 = 2(2)(2)2, and hence the computation never terminates.