--- a/Pearl/document/root.tex Tue Apr 06 07:36:15 2010 +0200
+++ b/Pearl/document/root.tex Tue Apr 06 14:08:06 2010 +0200
@@ -1,4 +1,4 @@
-\documentclass[runningheads]{llncs}
+\documentclass{llncs}
\usepackage{times}
\usepackage{isabelle}
\usepackage{isabellesym}
@@ -38,7 +38,7 @@
lists of pairs of atoms, we now use a more abstract representation based on
functions. Second, whereas the earlier work modeled different sorts of atoms
using different types, we now introduce a unified atom type that includes all
-sorts of atoms. Interestingly, we allow swappings, that is permutations build up by
+sorts of atoms. Interestingly, we allow swappings, that is permutations build from
two atoms, to be ill-sorted. As a result of these design changes, we can iron
out inconveniences for the user, considerably simplify proofs and also
drastically reduce the amount of custom ML-code. Furthermore we can extend the