#248 baaaaabbaa=a

Original presentation

\( \left\langle a, b \;\middle|\; b a^{5} b^{2} a^{2} = a \right\rangle \)

Modified presentation

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

Complete rewriting system

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

\( \begin{aligned} c &\rightarrow a^{2} \\ b^{2} &\rightarrow d \\ b d &\rightarrow d b \\ b a &\rightarrow d a^{5} d a^{2} \\ d a^{5} d a^{6} d a^{2} &\rightarrow a \\ d a^{5} d a^{7} &\rightarrow a^{4} d a^{6} d a^{2} \end{aligned} \)