1785
|
1 |
\documentclass{llncs}
|
|
2 |
\usepackage{times}
|
|
3 |
\usepackage{isabelle}
|
|
4 |
\usepackage{isabellesym}
|
|
5 |
\usepackage{amsmath}
|
|
6 |
\usepackage{amssymb}
|
|
7 |
\usepackage{longtable}
|
|
8 |
|
|
9 |
|
|
10 |
\usepackage{pdfsetup}
|
|
11 |
\urlstyle{rm}
|
|
12 |
\isabellestyle{it}
|
|
13 |
\renewcommand{\isastyle}{\isastyleminor}
|
|
14 |
\renewcommand{\isacharunderscore}{\mbox{$\_\!\_$}}
|
|
15 |
\renewcommand{\isasymbullet}{{\raisebox{-0.4mm}{\Large$\boldsymbol{\cdot}$}}}
|
|
16 |
\def\dn{\,\stackrel{\mbox{\scriptsize def}}{=}\,}
|
|
17 |
\renewcommand{\isasymequiv}{$\dn$}
|
|
18 |
\renewcommand{\isasymiota}{}
|
|
19 |
\renewcommand{\isasymrightleftharpoons}{}
|
|
20 |
\renewcommand{\isasymemptyset}{$\varnothing$}
|
|
21 |
|
|
22 |
\newcommand{\numbered}[1]{\refstepcounter{equation}{\rm(\arabic{equation})}\label{#1}}
|
|
23 |
|
|
24 |
|
|
25 |
\begin{document}
|
|
26 |
|
2033
|
27 |
\title{Implementing the Nominal Logic Work in Isabelle/HOL}
|
1785
|
28 |
\author{Brian Huffman\inst{1} and Christian Urban\inst{2}}
|
|
29 |
\institute{Portland State University \and Technical University of Munich}
|
|
30 |
\maketitle
|
|
31 |
|
|
32 |
\begin{abstract}
|
|
33 |
Pitts et al introduced a beautiful theory about names and binding based on the
|
2065
|
34 |
notions of atoms, permutations and support. The engineering challenge is to
|
|
35 |
smoothly adapt this theory to a theorem prover environment, in our case
|
2033
|
36 |
Isabelle/HOL. We present a formalisation of this work that is based on a
|
2065
|
37 |
unified atom type and that represents permutations by bijective functions from
|
|
38 |
atoms to atoms. Interestingly, we allow swappings, which are permutations
|
|
39 |
build from two atoms, to be ill-sorted. Furthermore we extend the nominal
|
2521
|
40 |
logic work with names that carry additional information and with abstractions
|
|
41 |
that bind finite sets of names.
|
1785
|
42 |
\end{abstract}
|
|
43 |
|
|
44 |
% generated text of all theories
|
|
45 |
\input{session}
|
|
46 |
|
|
47 |
% optional bibliography
|
|
48 |
\bibliographystyle{abbrv}
|
|
49 |
\bibliography{root}
|
|
50 |
|
|
51 |
\end{document}
|
|
52 |
|
|
53 |
%%% Local Variables:
|
|
54 |
%%% mode: latex
|
|
55 |
%%% TeX-master: t
|
|
56 |
%%% End:
|