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#276 aabaababaa=baaba

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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