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1 \documentclass[final, natbib]{svjour3} |
1 \documentclass[final,natbib]{svjour3} |
2 %\documentclass[acmtocl,final]{acmtrans2m} |
2 %\documentclass[acmtocl,final]{acmtrans2m} |
3 \usepackage{isabelle} |
3 \usepackage{isabelle} |
4 \usepackage{isabellesym} |
4 \usepackage{isabellesym} |
5 \usepackage{amsmath} |
5 \usepackage{amsmath} |
6 \usepackage{amssymb} |
6 \usepackage{amssymb} |
|
7 %%\usepackage{amsthm} |
7 \usepackage{tikz} |
8 \usepackage{tikz} |
8 \usepackage{pgf} |
9 \usepackage{pgf} |
9 \usetikzlibrary{arrows,automata,decorations,fit,calc} |
10 \usetikzlibrary{arrows,automata,decorations,fit,calc} |
10 \usetikzlibrary{shapes,shapes.arrows,snakes,positioning} |
11 \usetikzlibrary{shapes,shapes.arrows,snakes,positioning} |
11 \usepgflibrary{shapes.misc} % LATEX and plain TEX and pure pgf |
12 \usepgflibrary{shapes.misc} % LATEX and plain TEX and pure pgf |
39 \newcommand{\isasymcalL}{\ensuremath{\cal{L}}} |
40 \newcommand{\isasymcalL}{\ensuremath{\cal{L}}} |
40 \newcommand{\isasymbigplus}{\ensuremath{\bigplus}} |
41 \newcommand{\isasymbigplus}{\ensuremath{\bigplus}} |
41 |
42 |
42 \newcommand{\bigplus}{\mbox{\Large\bf$+$}} |
43 \newcommand{\bigplus}{\mbox{\Large\bf$+$}} |
43 |
44 |
44 \newtheorem{thrm}{Theorem}[section] |
45 %\spnewtheorem{thrm}{Theorem}[section]{\bf}{\it} |
45 \newtheorem{lmm}{Lemma}[section] |
46 %\spnewtheorem{lmm}{Lemma}[section]{\bf}{\it} |
46 \newtheorem{dfntn}{Definition}[section] |
47 %\spnewtheorem{dfntn}{Definition}[section]{\bf}{\it} |
47 \newtheorem{prpstn}{Proposition}[section] |
48 %\spnewtheorem{prpstn}{Proposition}[section]{\bf}{\it} |
48 |
49 |
49 \begin{document} |
50 \begin{document} |
50 |
51 |
51 \title{A Formalisation of the Myhill-Nerode Theorem\\ based on Regular |
52 \title{A Formalisation of the Myhill-Nerode Theorem\\ based on Regular |
52 Expressions$^\star$\thanks{$^\star$ This is a revised and much expanded version of \cite{WuZhangUrban11}.}} |
53 Expressions$^\star$\thanks{$^\star$ This is a revised and much expanded version of \cite{WuZhangUrban11}.}} |
56 %Xingyuan Zhang\\PLA University of Science and Technology Nanjing, China \and |
57 %Xingyuan Zhang\\PLA University of Science and Technology Nanjing, China \and |
57 %Christian Urban\\ King's College London, United Kingdom} |
58 %Christian Urban\\ King's College London, United Kingdom} |
58 |
59 |
59 \author{Chunhan Wu \and Xingyuan Zhang \and Christian Urban} |
60 \author{Chunhan Wu \and Xingyuan Zhang \and Christian Urban} |
60 \institute{Chunhan Wu \and Xingyuan Zhang \at PLA University of Science and Technology Nanjing, China \and |
61 \institute{Chunhan Wu \and Xingyuan Zhang \at PLA University of Science and Technology Nanjing, China \and |
61 Christian Urban \at King's College London, United Kingdom} |
62 Chunhan Wu \and Christian Urban \at King's College London, United Kingdom} |
62 |
63 |
63 \date{Received: date / Accepted: date} |
64 \date{Received: date / Accepted: date} |
64 |
65 |
65 %\markboth{C.~Wu et al.}{A Formalisation of the Myhill-Nerode Theorem based on Regular |
66 %\markboth{C.~Wu et al.}{A Formalisation of the Myhill-Nerode Theorem based on Regular |
66 % Expressions} |
67 % Expressions} |