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#231 abbaababba=babbaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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