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#238 baabaabaa=aabbaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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