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#348 baaaabbaba=abaa

Original presentation

\( \left\langle a, b \;\middle|\; b a^{4} b^{2} a b a = a b a^{2} \right\rangle \)

Modified presentation

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

Complete rewriting system

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

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