Skip to content

#001 aabaababba=baaba

Original presentation

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

Modified presentation

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

Complete rewriting system

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

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