#026 baaabaabaa=ababa

Original presentation

\( \left\langle a, b \;\middle|\; b a^{3} b a^{2} b a^{2} = a b a b a \right\rangle \)

Modified presentation

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

Complete rewriting system

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

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