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#438 baabbababa=abbaabba

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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