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#360 baabaabaa=abaaba

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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