From 010e4c8093bc6051917c049903b860af5c4edaa7 Mon Sep 17 00:00:00 2001 From: noah Date: Fri, 25 Feb 2022 22:40:12 -0600 Subject: [PATCH] Introduction to Attack Graphs --- Appendices.aux | 18 ++--- Chapter1.aux | 12 +++- Chapter1.tex | 14 ++++ Chapter2.aux | 13 ++-- Chapter2.tex | 2 +- Chapter3.aux | 30 ++++---- Chapter4.aux | 16 ++--- Chapter5.aux | 48 ++++++------- Chapter6.aux | 36 +++++----- Chapter7.aux | 6 +- Schrick-Noah_MS-Thesis.aux | 14 ++-- Schrick-Noah_MS-Thesis.bbl | 24 ++++++- Schrick-Noah_MS-Thesis.blg | 69 +++++++++--------- Schrick-Noah_MS-Thesis.lof | 4 +- Schrick-Noah_MS-Thesis.log | 70 +++++++++--------- Schrick-Noah_MS-Thesis.pdf | Bin 202909 -> 206429 bytes Schrick-Noah_MS-Thesis.toc | 144 ++++++++++++++++++------------------- 17 files changed, 284 insertions(+), 236 deletions(-) diff --git a/Appendices.aux b/Appendices.aux index 2bfd601..9c2e85f 100644 --- a/Appendices.aux +++ b/Appendices.aux @@ -1,18 +1,18 @@ \relax -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{18}{}\protected@file@percent } -\newlabel{App:A}{{A}{18}} -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{19}{}\protected@file@percent } -\newlabel{App:B}{{B}{19}} -\@writefile{toc}{\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{19}{}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{19}{}\protected@file@percent } -\@writefile{toc}{\contentsline {subsubsection}{A Sub-subsection in an Appendix}{19}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{20}{}\protected@file@percent } +\newlabel{App:A}{{A}{20}} +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{21}{}\protected@file@percent } +\newlabel{App:B}{{B}{21}} +\@writefile{toc}{\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{21}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{21}{}\protected@file@percent } +\@writefile{toc}{\contentsline {subsubsection}{A Sub-subsection in an Appendix}{21}{}\protected@file@percent } \@setckpt{Appendices}{ -\setcounter{page}{20} +\setcounter{page}{22} \setcounter{equation}{0} \setcounter{enumi}{0} \setcounter{enumii}{0} \setcounter{enumiii}{0} -\setcounter{enumiv}{7} +\setcounter{enumiv}{11} \setcounter{footnote}{0} \setcounter{mpfootnote}{0} \setcounter{part}{0} diff --git a/Chapter1.aux b/Chapter1.aux index 86a6dd0..60c2c89 100644 --- a/Chapter1.aux +++ b/Chapter1.aux @@ -1,10 +1,16 @@ \relax +\citation{phillips_graph-based_1998} +\citation{schneier_modeling_1999} +\citation{ou_scalable_2006} +\citation{sheyner_automated_2002} +\citation{ou_scalable_2006} +\citation{zhang_boosting_2017} \@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 1: }{\bf \uppercase {INTRODUCTION}}}{1}{}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {1.1}\bf Introduction to Attack Graphs}{1}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {1.2}\bf Application to Cybersecurity and Compliance}{1}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{1}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.2}\bf Application to Cybersecurity and Compliance}{2}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {1.3}\bf Objectives and Contributions}{2}{}\protected@file@percent } \@setckpt{Chapter1}{ -\setcounter{page}{2} +\setcounter{page}{3} \setcounter{equation}{0} \setcounter{enumi}{0} \setcounter{enumii}{0} diff --git a/Chapter1.tex b/Chapter1.tex index a5e3b7b..e2820f9 100644 --- a/Chapter1.tex +++ b/Chapter1.tex @@ -1,5 +1,19 @@ \TUchapter{INTRODUCTION} \TUsection{Introduction to Attack Graphs} +Cybersecurity has been at the forefront of computing for decades, and vulnerability analysis modeling has been utilized to mitigate threats to aid in this effort. One such modeling approach +is to represent a system or a set of systems through graphical means, and encode information into the nodes and edges of the graph. Even as early as the late 1990s, +experts have composed various graphical models to map devices and vulnerabilities through attack trees, and this work can be seen through the works published by the authors of \cite{phillips_graph-based_1998}. +This work, and other attack tree discussions of this time such as that conducted by the author of \cite{schneier_modeling_1999}, would later be referred to as early versions of modern-day attack graphs +\cite{ou_scalable_2006}. By utilizing this graphical approach, cybersecurity postures can be measued at a system's current status, as well as hypothesize and examine other postures based on system changes +over time. + +Attack Graphs are an appealing approach since they are often designed to be exhaustive: all system properties are represented at its intial state, all attack options are fully enumerated, all permutations are +examined, and all changes to a system are encoded into their own independent states, where these states are then individually analyzed through the process. The authors of \cite{sheyner_automated_2002} also +discuss the advantage of conciseness of attack graphs, where the final graph only incorporates states that an attacker can leverage; no superflous states are generated that can clutter analysis. Despite their +advantages, attack graphs do suffer from their exhaustiveness. As the authors of \cite{ou_scalable_2006} examine, even very small networks with only 10 hosts and 5 vulnerabilites yield graphs with 10 million +edges. When scaling attack graphs to analyze the modern, interconnected state of large networks comprising of a multitude of hosts, and utilizing the entries located in the National Vulnerability Database and any +custom vulnerability testing, this becomes infeasible. Similar difficulties arise in related fields, where social networks, bio-informatics, and neural network representations also result in graphs with millions of +states \cite{zhang_boosting_2017}. Various efforts that will be discussed in Section \ref{sec:related_works} demonstrate methods and techniques that can mitigate these difficulties and improve performance. \TUsection{Application to Cybersecurity and Compliance} diff --git a/Chapter2.aux b/Chapter2.aux index d43f7c8..22a02a8 100644 --- a/Chapter2.aux +++ b/Chapter2.aux @@ -1,11 +1,12 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 2: }{\bf \uppercase {RELATED WORKS}}}{2}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2.1}\bf Introduction to Graph Generation}{2}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2.2}\bf Improvements to Attack Graph Generation}{2}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2.3}\bf Attack Dependency Graphs}{2}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {2.4}\bf Compliance Graphs}{2}{}\protected@file@percent } 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Attack Graph Generation} +\TUsection{Improvements to Attack Graph Generation} \label{sec:related_works} \TUsection{Attack Dependency Graphs} diff --git a/Chapter3.aux b/Chapter3.aux index 22dacbd..06b42d6 100644 --- a/Chapter3.aux +++ b/Chapter3.aux @@ -1,12 +1,12 @@ \relax -\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{3}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3.1}\bf Path Walking}{3}{}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {3.2}\bf Compound Operators}{3}{}\protected@file@percent } -\newlabel{sec:compops}{{3.2}{3}} +\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 3: }{\bf \uppercase {UTILITY EXTENSIONS TO THE RAGE ATTACK GRAPH GENERATOR}}}{4}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline {3.1}\bf Path Walking}{4}{}\protected@file@percent } 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\@writefile{toc}{\addvspace {10pt}} -\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{17}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{18}{}\protected@file@percent } \@writefile{toc}{{\hfill \ }} +\bibcite{sheyner_automated_2002}{10} +\bibcite{zhang_boosting_2017}{11} +\bibstyle{plain} \@input{Appendices.aux} -\gdef \@abspage@last{29} +\gdef \@abspage@last{31} diff --git a/Schrick-Noah_MS-Thesis.bbl b/Schrick-Noah_MS-Thesis.bbl index ab8202a..3c649b9 100644 --- a/Schrick-Noah_MS-Thesis.bbl +++ b/Schrick-Noah_MS-Thesis.bbl @@ -1,4 +1,4 @@ -\begin{thebibliography}{1} +\begin{thebibliography}{10} \bibitem{ainsworth_graph_2016} Sam Ainsworth and Timothy~M. Jones. @@ -35,6 +35,28 @@ Ming Li, Peter Hawrylak, and John Hale. \newblock {\em Proceedings - 2019 2nd International Conference on Data Intelligence and Security, ICDIS 2019}, pages 174--179, 2019. +\bibitem{ou_scalable_2006} +Xinming Ou, Wayne~F Boyer, and Miles~A Mcqueen. +\newblock A {Scalable} {Approach} to {Attack} {Graph} {Generation}. +\newblock pages 336--345, 2006. + +\bibitem{phillips_graph-based_1998} +Cynthia Phillips and Laura~Painton Swiler. +\newblock A graph-based system for network-vulnerability analysis. +\newblock {\em Proceedings New Security Paradigms Workshop}, Part F1292:71--79, + 1998. + +\bibitem{schneier_modeling_1999} +Bruce Schneier. +\newblock Modeling {Security} {Threats}, 1999. +\newblock Publication Title: Dr. Dobb's Journal. + +\bibitem{sheyner_automated_2002} +O.~Sheyner, J.~Haines, S.~Jha, R.. Lippmann, and J.~Wing. +\newblock Automated {Generation} and {Analysis} of {Attack} {Graphs}. +\newblock {\em Proceeding of 2002 IEEE Symposium on Security and Privacy}, + pages 254--265, 2002. + \bibitem{zhang_boosting_2017} Jialiang Zhang, Soroosh Khoram, and Jing Li. \newblock Boosting the performance of {FPGA}-based graph processor using hybrid diff --git a/Schrick-Noah_MS-Thesis.blg b/Schrick-Noah_MS-Thesis.blg index 3aa1185..f04e397 100644 --- a/Schrick-Noah_MS-Thesis.blg +++ b/Schrick-Noah_MS-Thesis.blg @@ -12,45 +12,46 @@ The style file: plain.bst A level-1 auxiliary file: Appendices.aux Database file #1: Bibliography.bib Warning--empty school in cook_rage_2018 -You've used 7 entries, +Warning--empty journal in ou_scalable_2006 +You've used 11 entries, 2118 wiz_defined-function locations, - 540 strings with 5497 characters, -and the built_in function-call counts, 2047 in all, are: -= -- 206 -> -- 88 -< -- 2 -+ -- 35 -- -- 28 -* -- 118 -:= -- 342 -add.period$ -- 20 -call.type$ -- 7 -change.case$ -- 35 + 563 strings with 6143 characters, +and the built_in function-call counts, 3540 in all, are: += -- 359 +> -- 154 +< -- 4 ++ -- 63 +- -- 50 +* -- 209 +:= -- 576 +add.period$ -- 32 +call.type$ -- 11 +change.case$ -- 58 chr.to.int$ -- 0 -cite$ -- 8 -duplicate$ -- 86 -empty$ -- 153 -format.name$ -- 28 -if$ -- 433 +cite$ -- 13 +duplicate$ -- 144 +empty$ -- 263 +format.name$ -- 50 +if$ -- 754 int.to.chr$ -- 0 -int.to.str$ -- 7 -missing$ -- 5 -newline$ -- 37 -num.names$ -- 12 -pop$ -- 37 +int.to.str$ -- 11 +missing$ -- 8 +newline$ -- 57 +num.names$ -- 20 +pop$ -- 65 preamble$ -- 1 -purify$ -- 29 +purify$ -- 48 quote$ -- 0 -skip$ -- 76 +skip$ -- 128 stack$ -- 0 -substring$ -- 99 -swap$ -- 25 -text.length$ -- 2 +substring$ -- 204 +swap$ -- 46 +text.length$ -- 4 text.prefix$ -- 0 top$ -- 0 -type$ -- 28 -warning$ -- 1 -while$ -- 18 -width$ -- 8 -write$ -- 73 -(There was 1 warning) +type$ -- 44 +warning$ -- 2 +while$ -- 34 +width$ -- 13 +write$ -- 115 +(There were 2 warnings) diff --git a/Schrick-Noah_MS-Thesis.lof b/Schrick-Noah_MS-Thesis.lof index 43c857f..e4156bb 100644 --- a/Schrick-Noah_MS-Thesis.lof +++ b/Schrick-Noah_MS-Thesis.lof @@ -1,3 +1,3 @@ {\vspace {\baselineskip }} -\contentsline {figure}{\numberline {3.1}{\ignorespaces Path Walking to State 14}}{4}{}% -\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations}}{6}{}% +\contentsline {figure}{\numberline {3.1}{\ignorespaces Path Walking to State 14}}{5}{}% +\contentsline {figure}{\numberline {3.2}{\ignorespaces Color Coding a Small Network Based on Violations}}{7}{}% diff --git a/Schrick-Noah_MS-Thesis.log b/Schrick-Noah_MS-Thesis.log index 4dd00fa..b4e5405 100644 --- a/Schrick-Noah_MS-Thesis.log +++ b/Schrick-Noah_MS-Thesis.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.2.14) 25 FEB 2022 17:30 +This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.2.14) 25 FEB 2022 22:40 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -198,16 +198,16 @@ Overfull \hbox (1.75291pt too wide) in paragraph at lines 22--22 (./Chapter1.tex CHAPTER 1. -) [1 +[1 -] +]) [2] \openout2 = `Chapter2.aux'. 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