
diff -r fa6d00968b0e -r bddf14e026b3 handouts/ho01.tex
--- a/handouts/ho01.tex	Tue Sep 25 21:57:14 2018 +0100
+++ b/handouts/ho01.tex	Fri Sep 28 13:54:18 2018 +0100
@@ -248,7 +248,7 @@
 \end{tabular}
 \end{center}
 
-\noindent This first graph shows that Python and Java need
+\noindent This first graph shows that Python and Java 8 need
 approximately 30 seconds to find out that the regular expression
 $\texttt{(a*)*\,b}$ does not match strings of 28 \texttt{a}s.
 Similarly, the second shows that Python needs approximately 29 seconds
@@ -282,6 +282,7 @@
 \url{http://davidvgalbraith.com/how-i-fixed-atom/}
 \end{center}
 
+\noindent
 and when somebody tried to match web-addresses using regular
 expressions
 
@@ -289,11 +290,11 @@
 \url{https://www.tutorialdocs.com/article/regex-trap.html}
 \end{center}  
 
-\noindent
+
 Such troublesome regular expressions are sometimes called \emph{evil
   regular expressions} because they have the potential to make regular
 expression matching engines to topple over, like in Python, Ruby and
-Java. This ``toppling over'' is also sometimes called
+Java 8. This ``toppling over'' is also sometimes called
 \emph{catastrophic backtracking}.  I have also seen the term
 \emph{eternal matching} used for this.  The problem with evil regular
 expressions is that they can have some serious consequences, for
@@ -339,7 +340,7 @@
 \end{center}
 
 \noindent And in the case of the regular expression $\texttt{(a*)*\,b}$
-and strings of \texttt{a}s we will beat Java by factor of
+and strings of \texttt{a}s we will beat Java 8 by factor of
 approximately 1,000,000 (note the scale on the $x$-axis). 
 
 \begin{center}
@@ -571,7 +572,7 @@
 
 \noindent That means two regular expressions are said to be
 equivalent if they match the same set of strings. That is
-there meaning is the same. Therefore we
+their meanings is the same. Therefore we
 do not really distinguish between the different regular
 expression $(r_1 + r_2) + r_3$ and $r_1 + (r_2 + r_3)$,
 because they are equivalent. I leave you to the question




