
diff -r 599239394c51 -r a0f27e21b42c ChengsongTanPhdThesis/main.tex
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/ChengsongTanPhdThesis/main.tex	Fri Mar 25 21:49:53 2022 +0000
@@ -0,0 +1,359 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Masters/Doctoral Thesis 
+% LaTeX Template
+% Version 2.5 (27/8/17)
+%
+% This template was downloaded from:
+% http://www.LaTeXTemplates.com
+%
+% Version 2.x major modifications by:
+% Vel (vel@latextemplates.com)
+%
+% This template is based on a template by:
+% Steve Gunn (http://users.ecs.soton.ac.uk/srg/softwaretools/document/templates/)
+% Sunil Patel (http://www.sunilpatel.co.uk/thesis-template/)
+%
+% Template license:
+% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%----------------------------------------------------------------------------------------
+%	PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
+%----------------------------------------------------------------------------------------
+
+\documentclass[
+11pt, % The default document font size, options: 10pt, 11pt, 12pt
+%oneside, % Two side (alternating margins) for binding by default, uncomment to switch to one side
+english, % ngerman for German
+singlespacing, % Single line spacing, alternatives: onehalfspacing or doublespacing
+%draft, % Uncomment to enable draft mode (no pictures, no links, overfull hboxes indicated)
+%nolistspacing, % If the document is onehalfspacing or doublespacing, uncomment this to set spacing in lists to single
+%liststotoc, % Uncomment to add the list of figures/tables/etc to the table of contents
+%toctotoc, % Uncomment to add the main table of contents to the table of contents
+%parskip, % Uncomment to add space between paragraphs
+%nohyperref, % Uncomment to not load the hyperref package
+headsepline, % Uncomment to get a line under the header
+%chapterinoneline, % Uncomment to place the chapter title next to the number on one line
+%consistentlayout, % Uncomment to change the layout of the declaration, abstract and acknowledgements pages to match the default layout
+]{MastersDoctoralThesis} % The class file specifying the document structure
+
+\usepackage[utf8]{inputenc} % Required for inputting international characters
+\usepackage[T1]{fontenc} % Output font encoding for international characters
+
+\usepackage{mathpazo} % Use the Palatino font by default
+\usepackage{hyperref}
+\usepackage[backend=bibtex,style=authoryear,natbib=true]{biblatex} % Use the bibtex backend with the authoryear citation style (which resembles APA)
+
+\addbibresource{example.bib} % The filename of the bibliography
+
+\usepackage[autostyle=true]{csquotes} % Required to generate language-dependent quotes in the bibliography
+
+%My Newly added Libraries in addition to template
+\usepackage{graphic}
+\usepackage{data}
+
+%\usepackage{algorithm}
+\usepackage{amsmath}
+\usepackage[noend]{algpseudocode}
+\usepackage{enumitem}
+\usepackage{nccmath}
+\usepackage{tikz-cd}
+\usepackage{tikz}
+\usetikzlibrary{automata, positioning}
+
+%----------------------------------------------------------------------------------------
+%	MARGIN SETTINGS
+%----------------------------------------------------------------------------------------
+
+\geometry{
+	paper=a4paper, % Change to letterpaper for US letter
+	inner=2.5cm, % Inner margin
+	outer=3.8cm, % Outer margin
+	bindingoffset=.5cm, % Binding offset
+	top=1.5cm, % Top margin
+	bottom=1.5cm, % Bottom margin
+	%showframe, % Uncomment to show how the type block is set on the page
+}
+
+%----------------------------------------------------------------------------------------
+%	THESIS INFORMATION
+%----------------------------------------------------------------------------------------
+
+\thesistitle{POSIX Regular Expression Matching and Lexing} % Your thesis title, this is used in the title and abstract, print it elsewhere with \ttitle
+\supervisor{Dr. Christian \textsc{Urban}} % Your supervisor's name, this is used in the title page, print it elsewhere with \supname
+\examiner{} % Your examiner's name, this is not currently used anywhere in the template, print it elsewhere with \examname
+\degree{Doctor of Philosophy} % Your degree name, this is used in the title page and abstract, print it elsewhere with \degreename
+\author{Chengsong \textsc{Tan}} % Your name, this is used in the title page and abstract, print it elsewhere with \authorname
+\addresses{} % Your address, this is not currently used anywhere in the template, print it elsewhere with \addressname
+
+\subject{Computer Science} % Your subject area, this is not currently used anywhere in the template, print it elsewhere with \subjectname
+\keywords{} % Keywords for your thesis, this is not currently used anywhere in the template, print it elsewhere with \keywordnames
+\university{\href{https://www.kcl.ac.uk}{King's College London}} % Your university's name and URL, this is used in the title page and abstract, print it elsewhere with \univname
+\department{\href{https://www.kcl.ac.uk/informatics}{Department or Informatics}} % Your department's name and URL, this is used in the title page and abstract, print it elsewhere with \deptname
+\group{\href{https://www.kcl.ac.uk/research/ssy}{Software Systems}} % Your research group's name and URL, this is used in the title page, print it elsewhere with \groupname
+\faculty{\href{http://faculty.university.com}{Chengsong Tan}} % Your faculty's name and URL, this is used in the title page and abstract, print it elsewhere with \facname
+
+\AtBeginDocument{
+\hypersetup{pdftitle=\ttitle} % Set the PDF's title to your title
+\hypersetup{pdfauthor=\authorname} % Set the PDF's author to your name
+\hypersetup{pdfkeywords=\keywordnames} % Set the PDF's keywords to your keywords
+}
+
+\begin{document}
+
+\frontmatter % Use roman page numbering style (i, ii, iii, iv...) for the pre-content pages
+
+\pagestyle{plain} % Default to the plain heading style until the thesis style is called for the body content
+
+%----------------------------------------------------------------------------------------
+%	TITLE PAGE
+%----------------------------------------------------------------------------------------
+
+\begin{titlepage}
+\begin{center}
+
+\vspace*{.06\textheight}
+{\scshape\LARGE \univname\par}\vspace{1.5cm} % University name
+\textsc{\Large Doctoral Thesis}\\[0.5cm] % Thesis type
+
+\HRule \\[0.4cm] % Horizontal line
+{\huge \bfseries \ttitle\par}\vspace{0.4cm} % Thesis title
+\HRule \\[1.5cm] % Horizontal line
+ 
+\begin{minipage}[t]{0.4\textwidth}
+\begin{flushleft} \large
+\emph{Author:}\\
+\href{https://kclpure.kcl.ac.uk/portal/en/persons/chengsong-tan(a63b381b-04bc-4cd7-beea-beb3e96cb153).html}{\authorname} % Author name - remove the \href bracket to remove the link
+\end{flushleft}
+\end{minipage}
+
+
+\begin{minipage}[t]{0.4\textwidth}
+\begin{flushright} \large
+\emph{Supervisor:} \\
+\href{https://www.kcl.ac.uk/people/christian-urban}{\supname} % Supervisor name - remove the \href bracket to remove the link  
+\end{flushright}
+\end{minipage}\\[3cm]
+ 
+\vfill
+
+\large \textit{A thesis submitted in fulfillment of the requirements\\ for the degree of \degreename}\\[0.3cm] % University requirement text
+\textit{in the}\\[0.4cm]
+\groupname\\\deptname\\[2cm] % Research group name and department name
+ 
+\vfill
+
+{\large \today}\\[4cm] % Date
+%\includegraphics{Logo} % University/department logo - uncomment to place it
+ 
+\vfill
+\end{center}
+\end{titlepage}
+
+%----------------------------------------------------------------------------------------
+%	DECLARATION PAGE
+%----------------------------------------------------------------------------------------
+
+\begin{declaration}
+\addchaptertocentry{\authorshipname} % Add the declaration to the table of contents
+\noindent I, \authorname, declare that this thesis titled, \enquote{\ttitle} and the work presented in it are my own. I confirm that:
+
+\begin{itemize} 
+\item This work was done wholly or mainly while in candidature for a research degree at this University.
+\item Where any part of this thesis has previously been submitted for a degree or any other qualification at this University or any other institution, this has been clearly stated.
+\item Where I have consulted the published work of others, this is always clearly attributed.
+\item Where I have quoted from the work of others, the source is always given. With the exception of such quotations, this thesis is entirely my own work.
+\item I have acknowledged all main sources of help.
+\item Where the thesis is based on work done by myself jointly with others, I have made clear exactly what was done by others and what I have contributed myself.\\
+\end{itemize}
+ 
+\noindent Signed:\\
+\rule[0.5em]{25em}{0.5pt} % This prints a line for the signature
+ 
+\noindent Date:\\
+\rule[0.5em]{25em}{0.5pt} % This prints a line to write the date
+\end{declaration}
+
+\cleardoublepage
+
+%----------------------------------------------------------------------------------------
+%	QUOTATION PAGE
+%----------------------------------------------------------------------------------------
+
+\vspace*{0.2\textheight}
+
+\noindent\enquote{\itshape Thanks to my solid academic training, today I can write hundreds of words on virtually any topic without possessing a shred of information, which is how I got a good job in journalism.}\bigbreak
+
+\hfill Dave Barry
+
+%----------------------------------------------------------------------------------------
+%	ABSTRACT PAGE
+%----------------------------------------------------------------------------------------
+
+\begin{abstract}
+\addchaptertocentry{\abstractname} % Add the abstract to the table of contents
+This work is a combination of functional algorithms
+and formal methods.
+Regular expression matching and lexing has been 
+ widely-used and well-implemented
+in software industry. 
+
+Theoretical results say that regular expression matching
+should be linear with respect to the input.
+Under a certain class of regular expressions and inputs though,
+practical implementations  suffer from non-linear or even 
+exponential running time,
+allowing a ReDoS (regular expression denial-of-service ) attack.
+
+
+The reason behind is that regex libraries in popular language engines
+ often want to support richer constructs
+than  the most basic regular expressions, and lexing rather than matching
+is needed for sub-match extraction.
+
+This work aims to address the above vulnerability by the combination
+of Brzozowski's derivatives and interactive theorem proving. We give an 
+improved version of  Sulzmann and Lu's bit-coded algorithm using 
+derivatives, which come with a formal guarantee in terms of correctness and 
+running time as an Isabelle/HOL proof.
+Then we improve the algorithm with an even stronger version of 
+simplification, and prove a time bound linear to input and
+cubic to regular expression size using a technique by
+Antimirov.
+The result is an algorithm with provable guarantees on 
+correctness and running time. We believe this is the first 
+work with these two guarantees together.
+
+
+ 
+\end{abstract}
+
+%----------------------------------------------------------------------------------------
+%	ACKNOWLEDGEMENTS
+%----------------------------------------------------------------------------------------
+
+\begin{acknowledgements}
+\addchaptertocentry{\acknowledgementname} % Add the acknowledgements to the table of contents
+The acknowledgments and the people to thank go here, don't forget to include your project advisor\ldots
+\end{acknowledgements}
+
+%----------------------------------------------------------------------------------------
+%	LIST OF CONTENTS/FIGURES/TABLES PAGES
+%----------------------------------------------------------------------------------------
+
+\tableofcontents % Prints the main table of contents
+
+\listoffigures % Prints the list of figures
+
+\listoftables % Prints the list of tables
+
+%----------------------------------------------------------------------------------------
+%	ABBREVIATIONS
+%----------------------------------------------------------------------------------------
+
+\begin{abbreviations}{ll} % Include a list of abbreviations (a table of two columns)
+
+\textbf{LAH} & \textbf{L}ist \textbf{A}bbreviations \textbf{H}ere\\
+\textbf{WSF} & \textbf{W}hat (it) \textbf{S}tands \textbf{F}or\\
+
+\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}%
+\newcommand{\ZERO}{\mbox{\bf 0}}
+\newcommand{\ONE}{\mbox{\bf 1}}
+\def\lexer{\mathit{lexer}}
+\def\mkeps{\mathit{mkeps}}
+
+\def\DFA{\textit{DFA}}
+\def\bmkeps{\textit{bmkeps}}
+\def\retrieve{\textit{retrieve}}
+\def\blexer{\textit{blexer}}
+\def\flex{\textit{flex}}
+\def\inj{\mathit{inj}}
+\def\Empty{\mathit{Empty}}
+\def\Left{\mathit{Left}}
+\def\Right{\mathit{Right}}
+\def\Stars{\mathit{Stars}}
+\def\Char{\mathit{Char}}
+\def\Seq{\mathit{Seq}}
+\def\Der{\mathit{Der}}
+\def\nullable{\mathit{nullable}}
+\def\Z{\mathit{Z}}
+\def\S{\mathit{S}}
+\def\rup{r^\uparrow}
+
+\end{abbreviations}
+
+%----------------------------------------------------------------------------------------
+%	PHYSICAL CONSTANTS/OTHER DEFINITIONS
+%----------------------------------------------------------------------------------------
+
+\begin{constants}{lr@{${}={}$}l} % The list of physical constants is a three column table
+
+% The \SI{}{} command is provided by the siunitx package, see its documentation for instructions on how to use it
+
+Speed of Light & $c_{0}$ & \SI{2.99792458e8}{\meter\per\second} (exact)\\
+%Constant Name & $Symbol$ & $Constant Value$ with units\\
+
+\end{constants}
+
+%----------------------------------------------------------------------------------------
+%	SYMBOLS
+%----------------------------------------------------------------------------------------
+
+\begin{symbols}{lll} % Include a list of Symbols (a three column table)
+
+$a$ & distance & \si{\meter} \\
+$P$ & power & \si{\watt} (\si{\joule\per\second}) \\
+%Symbol & Name & Unit \\
+
+\addlinespace % Gap to separate the Roman symbols from the Greek
+
+$\omega$ & angular frequency & \si{\radian} \\
+
+\end{symbols}
+
+%----------------------------------------------------------------------------------------
+%	DEDICATION
+%----------------------------------------------------------------------------------------
+
+\dedicatory{For/Dedicated to/To my\ldots} 
+
+%----------------------------------------------------------------------------------------
+%	THESIS CONTENT - CHAPTERS
+%----------------------------------------------------------------------------------------
+
+\mainmatter % Begin numeric (1,2,3...) page numbering
+
+\pagestyle{thesis} % Return the page headers back to the "thesis" style
+
+% Include the chapters of the thesis as separate files from the Chapters folder
+% Uncomment the lines as you write the chapters
+
+\include{Chapters/Chapter1}
+\include{Chapters/Chapter2} 
+\include{Chapters/Chapter3}
+%\include{Chapters/Chapter4} 
+%\include{Chapters/Chapter5} 
+
+%----------------------------------------------------------------------------------------
+%	THESIS CONTENT - APPENDICES
+%----------------------------------------------------------------------------------------
+
+\appendix % Cue to tell LaTeX that the following "chapters" are Appendices
+
+% Include the appendices of the thesis as separate files from the Appendices folder
+% Uncomment the lines as you write the Appendices
+
+\include{Appendices/AppendixA}
+%\include{Appendices/AppendixB}
+%\include{Appendices/AppendixC}
+
+%----------------------------------------------------------------------------------------
+%	BIBLIOGRAPHY
+%----------------------------------------------------------------------------------------
+
+\printbibliography[heading=bibintoc]
+
+%----------------------------------------------------------------------------------------
+
+\end{document}  




