\begin{frame} \small \begin{example}[cont'd] \smallskip TRS $\RR = \{ \sd{192}, \sd{193}, \sd{194}, \sd{195}, \sd{196}, \sd{197} \}$ \hfill \onslide<2->{TRS $\SS = \{ \sd{192}, \sd{193}, \sd{194}, \sd{195}, \sd{196}, \sd{197}, \sda{200}, \sda{201} \}$} \[ \begin{array}{lr@{~}c@{~}l@{\qquad}lr@{~}c@{~}l} \structure{\text{\ding{192}}} & \GREEN{x+\m{0}} & \GREEN{\to} & \GREEN{x} & \structure{\text{\ding{193}}} & \GREEN{x+\m{s}(y)} & \GREEN{\to} & \GREEN{\m{s}(x+y)} \\ \structure{\text{\ding{194}}} & \GREEN{x-\m{0}} & \GREEN{\to} & \GREEN{x} & \structure{\text{\ding{195}}} & \GREEN{x-\m{s}(y)} & \GREEN{\to} & \GREEN{\m{p}(x-y)} \\ \structure{\text{\ding{196}}} & \GREEN{\m{p}(\m{s}(x))} & \GREEN{\to} & \GREEN{x} & \structure{\text{\ding{197}}} & \GREEN{\m{s}(\m{p}(x))} & \GREEN{\to} & \GREEN{x} \\ % \onslide<2->{\alert{\text{\ding{198}}}} & % \onslide<2->{\GREEN{\m{s}(x+\m{p}(y))}} % & \onslide<2->{\GREEN{\to}} & \onslide<2->{\GREEN{x+y}} & % \onslide<2->{\alert{\text{\ding{199}}}} & % \onslide<2->{\GREEN{\m{p}(x-\m{p}(y))}} % & \onslide<2->{\GREEN{\to}} & \onslide<2->{\GREEN{x-y}} \\ \onslide<2->{\alert{\text{\ding{200}}}} & \onslide<2->{\GREEN{x+\m{p}(y)}} & \onslide<2->{\GREEN{\to}} & \onslide<2->{\GREEN{\m{p}(x+y)}} & \onslide<2->{\alert{\text{\ding{201}}}} & \onslide<2->{\GREEN{x-\m{p}(y)}} & \onslide<2->{\GREEN{\to}} & \onslide<2->{\GREEN{\m{s}(x-y)}} \end{array} \] \begin{itemize} \item<3-> \makebox[3cm][l]{$\SS$ is SN} LPO with precedence $\GREEN{+} > \mG{s}, \mG{p}$ and $\GREEN{-} > \mG{s}, \mG{p}$ \item<4-> \makebox[3cm][l]{$\SS$ is WCR} all critical pairs of $\SS$ are convergent \item<5-> $\xleftrightarrow[\SS]{*} ~=~ \xleftrightarrow[\RR]{*}$ \end{itemize} \end{example} \end{frame}