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#368 aababbbaba=babbaa

Original presentation

\( \left\langle a, b \;\middle|\; a^{2} b a b^{3} a b a = b a b^{2} a^{2} \right\rangle \)

Modified presentation

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

Complete rewriting system

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

\( \begin{aligned} c &\rightarrow b a \\ b a b &\rightarrow d \\ d b a^{2} &\rightarrow a^{2} d b d a \\ b a d &\rightarrow d a b \\ d a b^{2} a^{2} &\rightarrow b a^{3} d b d a \end{aligned} \)