Skip to content

#364 aabaababaa=baabaa

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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