--- a/Quotient-Paper/Paper.thy Mon May 17 17:34:02 2010 +0200
+++ b/Quotient-Paper/Paper.thy Tue May 18 11:45:49 2010 +0200
@@ -134,7 +134,7 @@
Example of non-regularizable theorem ($0 = 1$).
-New regularization lemmas:
+Separtion of regularization from injection thanks to the following 2 lemmas:
\begin{lemma}
If @{term R2} is an equivalence relation, then:
\begin{eqnarray}
@@ -159,20 +159,23 @@
text {*
\begin{itemize}
- \item Peter Homeier's package (and related work from there), John
- Harrison's one.
+ \item Peter Homeier's package~\cite{Homeier05} (and related work from there)
+ \item John Harrison's one~\cite{harrison-thesis} is the first one to lift theorems
+ but only first order.
- \item Manually defined quotients in Isabelle/HOL Library (Larry's
- quotients, Markus's Quotient\_Type, Dixon's FSet, \ldots)
+ \item PVS~\cite{PVS:Interpretations}
+ \item MetaPRL~\cite{Nogin02}
+ \item Manually defined quotients in Isabelle/HOL Library (Markus's Quotient\_Type,
+ Dixon's FSet, \ldots)
\item Oscar Slotosch defines quotient-type automatically but no
- lifting.
+ lifting~\cite{Slotosch97}.
\item PER. And how to avoid it.
- \item Necessity of Hilbert Choice op.
+ \item Necessity of Hilbert Choice op and Larry's quotients~\cite{Paulson06}
- \item Setoids in Coq
+ \item Setoids in Coq and \cite{ChicliPS02}
\end{itemize}
*}