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#445 abaaaababa=baabaaa

Original presentation

\( \left\langle a, b \;\middle|\; a b a^{4} b a b a = b a^{2} b a^{3} \right\rangle \)

Modified presentation

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

Complete rewriting system

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

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