#263 aabaabaaba=baabaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

\( \begin{aligned} c &\rightarrow a^{2} \\ a^{2} b &\rightarrow d \\ b d a^{2} &\rightarrow d^{3} a \\ b d^{2} &\rightarrow d^{3} a b \\ b d a d &\rightarrow d^{4} \\ a^{2} d^{3} a &\rightarrow d^{2} a^{2} \\ a^{2} d^{4} &\rightarrow d^{2} a d \end{aligned} \)