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#282 abababaaba=babaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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