diff -r df9e966ecb6d -r dc0cdfc5fc66 etnms/etnms.tex --- a/etnms/etnms.tex Wed Feb 05 12:41:30 2020 +0000 +++ b/etnms/etnms.tex Wed Feb 05 14:50:57 2020 +0000 @@ -1202,7 +1202,8 @@ is opened up to make the list consisting of two separate elements $_{00}\ONE$ and $_{011}a^*$, note that $flatten$ $\fuse$s the bit(s) $_0$ to the front of $_0\ONE $ and $_{11}a^*$. -In a nutshell, the order of simplification causes +The order of simplification, which impacts the order that alternatives +are opened up, causes the bits to be moved differently. \subsubsection{A Failed Attempt To Remedy the Problem Above} @@ -1372,9 +1373,15 @@ $r$ is the regular expression $(ab+(a^*+aa))$ and $s$ is the string $aa$ \end{center} -$\rup\backslash_{simp} \, s \neq \simp(\rup\backslash s)$ -happens again, whereas this does not happen for the old + +\noindent +$\rup\backslash_{simp} \, s$ is equal to +$ _0(_0\ONE + _{11}a^*)$ +$\rup\backslash_{simp} \, s \neq \simp(\rup\backslash s)$, + whereas this does not happen for the old version of $\simp$. +We have changed the algorithm to suppress the old +counterexample, but this gives rise to new counterexamples. This dilemma causes this amendment not a successful attempt to make $\rup\backslash_{simp} \, s = \simp(\rup\backslash s)$ under every possible regular expression and string.