# HG changeset patch
# User Christian Urban <christian dot urban at kcl dot ac dot uk>
# Date 1443730923 -3600
# Node ID fd89a63e9db3796407f50218e64b6667c4df0e89
# Parent  8890852e18b714883f50b81e3852a64ff47fd155
updated

diff -r 8890852e18b7 -r fd89a63e9db3 handouts/ho01.pdf
Binary file handouts/ho01.pdf has changed
diff -r 8890852e18b7 -r fd89a63e9db3 handouts/ho01.tex
--- a/handouts/ho01.tex	Mon Sep 28 23:47:34 2015 +0100
+++ b/handouts/ho01.tex	Thu Oct 01 21:22:03 2015 +0100
@@ -272,6 +272,23 @@
 A^* \dn \bigcup_{0\le n} A^n
 \]
 
+\noindent 
+Note that this expands to
+
+\[
+A^* \dn A^0 \cup A^1 \cup A^2 \cup A^3 \cup A^4 \cup \ldots
+\]
+
+\noindent which is equivalent to
+
+\[
+A^* \dn \{[]\} \cup A \cup A@A \cup A@A@A \cup A@A@A@A \cup \ldots
+\]
+
+\noindent 
+Remember that $A^0$ is always the set containing the empty 
+string.
+
 We will use parentheses to disambiguate regular expressions.
 Parentheses are not really part of a regular expression, and
 indeed we do not need them in our code because there the tree
diff -r 8890852e18b7 -r fd89a63e9db3 handouts/ho02.pdf
Binary file handouts/ho02.pdf has changed
diff -r 8890852e18b7 -r fd89a63e9db3 handouts/ho02.tex
--- a/handouts/ho02.tex	Mon Sep 28 23:47:34 2015 +0100
+++ b/handouts/ho02.tex	Thu Oct 01 21:22:03 2015 +0100
@@ -78,7 +78,7 @@
 can implement an exhaustive test for whether a string is
 member of this set or not. In contrast our matching algorithm
 will operate on the regular expression $r$ and string $s$,
-only, which are both finite. Before we come to the matching
+only, which are both finite objects. Before we come to the matching
 algorithm, however, let us have a closer look at what it means
 when two regular expressions are equivalent.
 
@@ -568,6 +568,8 @@
 \end{tikzpicture}
 \end{center}
 
+\section*{Proofs}
+
 \end{document}
 
 
diff -r 8890852e18b7 -r fd89a63e9db3 slides/slides01.pdf
Binary file slides/slides01.pdf has changed
diff -r 8890852e18b7 -r fd89a63e9db3 slides/slides01.tex
--- a/slides/slides01.tex	Mon Sep 28 23:47:34 2015 +0100
+++ b/slides/slides01.tex	Thu Oct 01 21:22:03 2015 +0100
@@ -62,7 +62,7 @@
                       very thick,draw=black!50,minimum height=18mm, minimum width=20mm,
                       top color=white,bottom color=black!20}]
 
-  \node at (3.05, 1.8) {\Large\bf A Compiler};
+  \node at (3.05, 1.8) {\Large\bf Write A Compiler};
 
   \node (0) at (-2.3,0) {};