# HG changeset patch # User Chengsong # Date 1688950412 -3600 # Node ID fa7552396c71a029981aa710ae3828ed95e2cc56 # Parent 71502e4d8691fed1fd5c2e6fe64a0003a7457359 more diff -r 71502e4d8691 -r fa7552396c71 ChengsongTanPhdThesis/Chapters/Finite.tex --- a/ChengsongTanPhdThesis/Chapters/Finite.tex Mon Jul 10 01:51:46 2023 +0100 +++ b/ChengsongTanPhdThesis/Chapters/Finite.tex Mon Jul 10 01:53:32 2023 +0100 @@ -218,6 +218,11 @@ if we omit the way these regular expressions need to be nested. where each $r_i$ ($i \in \{1, \ldots, n\}$) is related to some fragments of $r$ and $s$. +We call the precise formalisation for the shape of +\[ + r_1 + r_2 + r_3 + \ldots + r_n +\] +"closed form". The second important observation is that the list %of regular expressions $[r_1, \ldots, r_n]$ %is not cannot grow indefinitely because they all come from $r$, and derivatives