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#262 baabaaabba=aabaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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