# HG changeset patch # User Cezary Kaliszyk # Date 1274175949 -7200 # Node ID d7d4491535a9c74e1cde6846993404fac92525fc # Parent 270207489062bca8e50d6a75e0f0c35a5f19d317 starting bibliography diff -r 270207489062 -r d7d4491535a9 Quotient-Paper/Paper.thy --- 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} *}