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#213 abbaabbbba=babbaa

Original presentation

\( \left\langle a, b \;\middle|\; a b^{2} a^{2} b^{4} a = b a b^{2} a^{2} \right\rangle \)

Modified presentation

\( \left\langle a, b, c, d \;\middle|\; a c a^{2} c^{2} a = b a c a^{2},\; c = b^{2},\; d = b^{4} \right\rangle \)

Complete rewriting system

Using reversed recursive path order (RevRPOCmp) with \(a < d < b < c\):

\( \begin{aligned} c &\rightarrow b^{2} \\ b^{4} &\rightarrow d \\ b a b^{2} a^{2} &\rightarrow a b^{2} a^{2} d a \\ d a b^{2} a^{2} &\rightarrow a b^{2} a^{2} d a d a d a d a \\ d b &\rightarrow b d \end{aligned} \)