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The method is flexible, allowing analysis of attacks from both outside and inside the network. It can analyze risks to a specific network asset, or examine the universe of possible consequences following a successful attack. The graph-based tool can identify the set of attack paths that have a high probability of success (or a low "effort" cost) for the attacker. The system could be used to test the effectiveness of making configuration changes, implementing an intrusion detection system, etc. The analysis system requires as input a database of common attacks, broken into atomic steps, specific network configuration and topology information, and an attacker profile. The attack information is "matched" with the network configuration information and an attacker profile to create a superset attack graph. Nodes identify a stage of attack, for example the class of machines the attacker has accessed and the user privilege level he or she has compromised. The arcs in the attack graph represent attacks or stages of attacks. By assigning probabilities of success on the arcs or costs representing level-of-effort for the attacker, various graph algorithms such as shortest-path algorithms can identify the attack paths with the highest probability of success.}, + journal = {Proceedings New Security Paradigms Workshop}, + author = {Phillips, Cynthia and Swiler, Laura Painton}, + note = {doi: 10.1145/310889.310919}, + year = {1998}, + keywords = {Attack graph, Computer security, Network vulnerability}, + pages = {71--79}, + file = {310889.310919:/home/noah/Zotero/storage/JMW5DI72/310889.310919.pdf:application/pdf}, +} + +@article{ou_scalable_2006, + title = {A {Scalable} {Approach} to {Attack} {Graph} {Generation}}, + issn = {1595935185}, + author = {Ou, Xinming and Boyer, Wayne F and Mcqueen, Miles A}, + year = {2006}, + journal = {CCS '06: Proceedings of the 13th ACM conference on Computer and communications security}, + keywords = {attack graphs, enterprise network security, logic-programming}, + pages = {336--345}, + file = {1180405.1180446:/home/noah/Zotero/storage/TJKHVC4R/1180405.1180446.pdf:application/pdf}, +} + +@misc{j_hale_compliance_nodate, + title = {Compliance {Method} for a {Cyber}-{Physical} {System}}, + author = {{J. Hale} and Hawrylak, P. and Papa, M.}, + note = {U.S. Patent Number 9,471,789, Oct. 18, 2016.}, + number = {9471789}, + file = {Complaince_Graph_US_Patent_9471789:/home/noah/Zotero/storage/55BZN4U7/Complaince_Graph_US_Patent_9471789.pdf:application/pdf}, +} + +@inproceedings{baloyi_guidelines_2019, + address = {Skukuza South Africa}, + title = {Guidelines for {Data} {Privacy} {Compliance}: {A} {Focus} on {Cyberphysical} {Systems} and {Internet} of {Things}}, + doi = {10.1145/3351108.3351143}, + booktitle = {{SAICSIT} '19: {Proceedings} of the {South} {African} {Institute} of {Computer} {Scientists} and {Information} {Technologists} 2019}, + publisher = {Association for Computing Machinery}, + author = {Baloyi, Ntsako and Kotzé, Paula}, + year = {2019}, +} + +@article{allman_complying_2006, + title = {Complying with {Compliance}: {Blowing} it off is not an option.}, + volume = {4}, + number = {7}, + journal = {ACM Queue}, + author = {Allman, Eric}, + year = {2006}, +} + +@article{sheyner_automated_2002, + title = {Automated {Generation} and {Analysis} of {Attack} {Graphs}}, + issn = {9781787284395}, + journal = {Proceeding of 2002 IEEE Symposium on Security and Privacy}, + author = {Sheyner, O. and Haines, J. and Jha, S. and Lippmann, R.. and Wing, J.}, + year = {2002}, + pages = {254--265}, + file = {sheyner-wing02:/home/noah/Zotero/storage/BV6NHT6L/sheyner-wing02.pdf:application/pdf}, +} + +@article{zhang_boosting_2017, + title = {Boosting the performance of {FPGA}-based graph processor using hybrid memory cube: {A} case for breadth first search}, + issn = {9781450343541}, + doi = {10.1145/3020078.3021737}, + abstract = {Large graph processing has gained great attention in recent years due to its broad applicability from machine learning to social science. Large real-world graphs, however, are inherently difficult to process efficiently, not only due to their large memory footprint, but also that most graph algorithms entail memory access patterns with poor locality and a low compute-to-memory access ratio. In this work, we leverage the exceptional random access performance of emerging Hybrid Memory Cube (HMC) technology that stacks multiple DRAM dies on top of a logic layer, combined with the flexibility and efficiency of FPGA to address these challenges. To our best knowledge, this is the first work that implements a graph processing system on a FPGA-HMC platform based on software/hardware co-design and co-optimization. We first present the modifications of algorithm and a platform-aware graph processing architecture to perform level-synchronized breadth first search (BFS) on FPGA-HMC platform. To gain better insights into the potential bottlenecks of proposed implementation, we develop an analytical performance model to quantitatively evaluate the HMC access latency and corresponding BFS performance. Based on the analysis, we propose a two-level bitmap scheme to further reduce memory access and perform optimization on key design parameters (e.g. memory access granularity). Finally, we evaluate the performance of our BFS implementation using the AC-510 development kit from Micron. We achieved 166 million edges traversed per second (MTEPS) using GRAPH500 benchmark on a random graph with a scale of 25 and an edge factor of 16, which significantly outperforms CPU and other FPGA-based large graph processors.}, + journal = {FPGA 2017 - Proceedings of the 2017 ACM/SIGDA International Symposium on Field-Programmable Gate Arrays}, + author = {Zhang, Jialiang and Khoram, Soroosh and Li, Jing}, + year = {2017}, + pages = {207--216}, + file = {Boosting the Performance of FPGA-based Graph Processor using Hybrdi Memory Cube:/home/noah/Zotero/storage/CDKPUXYF/Boosting the Performance of FPGA-based Graph Processor using Hybrdi Memory Cube.pdf:application/pdf}, +} + +@inproceedings{Monotonicity, + author = {Ammann, Paul and Wijesekera, Duminda and Kaushik, Saket}, + title = {Scalable, Graph-Based Network Vulnerability Analysis}, + year = {2002}, + isbn = {1581136129}, + publisher = {Association for Computing Machinery}, + address = {New York, NY, USA}, + url = {https://doi.org/10.1145/586110.586140}, + doi = {10.1145/586110.586140}, + abstract = {Even well administered networks are vulnerable to attack. Recent work in network security has focused on the fact that combinations of exploits are the typical means by which an attacker breaks into a network. Researchers have proposed a variety of graph-based algorithms to generate attack trees (or graphs). Either structure represents all possible sequences of exploits, where any given exploit can take advantage of the penetration achieved by prior exploits in its chain, and the final exploit in the chain achieves the attacker's goal. The most recent approach in this line of work uses a modified version of the model checker NuSMV as a powerful inference engine for chaining together network exploits, compactly representing attack graphs, and identifying minimal sets of exploits. However, it is also well known that model checkers suffer from scalability problems, and there is good reason to doubt whether a model checker can handle directly a realistic set of exploits for even a modest-sized network. In this paper, we revisit the idea of attack graphs themselves, and argue that they represent more information explicitly than is necessary for the analyst. Instead, we propose a more compact and scalable representation. Although we show that it is possible to produce attack trees from our representation, we argue that more useful information can be produced, for larger networks, while bypassing the attack tree step. Our approach relies on an explicit assumption of monotonicity, which, in essence, states that the precondition of a given exploit is never invalidated by the successful application of another exploit. In other words, the attacker never needs to backtrack. The assumption reduces the complexity of the analysis problem from exponential to polynomial, thereby bringing even very large networks within reach of analysis}, + booktitle = {Proceedings of the 9th ACM Conference on Computer and Communications Security}, + pages = {217–224}, + numpages = {8}, + keywords = {network security, scalability, model checking, monotonic analysis, exploit, vulnerability}, + location = {Washington, DC, USA}, + series = {CCS '02} +} + +@inbook{TVA, + author = {Jajodia, Sushil and Noel, Steven}, + year = {2010}, + month = {09}, + pages = {139-154}, + title = {Topological Vulnerability Analysis}, + volume = {46}, + isbn = {978-1-4419-0139-2}, + journal = {Cyber Situational Awareness, Advances in Information Security, Volume 46. ISBN 978-1-4419-0139-2. Springer-Verlag US, 2010, p. 139}, + doi = {10.1007/978-1-4419-0140-8_7} +} + +@phdthesis{louthan_hybrid_2011, + title = {Hybrid {Attack} {Graphs} for {Modeling} {Cyber}-{Physical} {Systems}}, + author = {Louthan, G}, + school = {The {University} of {Tulsa}}, + year = {2011}, + keywords = {icle}, + file = {louthan_thesis:/home/noah/Zotero/storage/5SBCLYA3/louthan_thesis.pdf:application/pdf}, +} + +@phdthesis{cook_rage_2018, + title = {{RAGE}: {The} {Rage} {Attack} {Graph} {Engine}}, + author = {Cook, Kyle}, + school = {The {University} of {Tulsa}}, + year = {2018}, + file = {Kyle Cook Thesis:/home/noah/Zotero/storage/2SR28HM2/Kyle Cook Thesis.pdf:application/pdf}, +} + +@phdthesis{nichols_2018, + title = {{Hybrid} {Attack} {Graphs} for {Use} with a {Simulation} of a {Cyber-Physical} {System}}, + author = {Nichols, Will M.}, + school = {The {University} of {Tulsa}}, + year = {2018}, + file = {Will_Nichols_Thesis_FINAL_VER:/home/noah/Zotero/storage/8AXSZXJN/Will_Nichols_Thesis_FINAL_VER.pdf:application/pdf}, +} + +@article{ming_jo, +author = {Li, Ming and Hawrylak, Peter and Hale, John}, +title = {Strategies for Practical Hybrid Attack Graph Generation and Analysis}, +year = {2021}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +issn = {2692-1626}, +url = {https://doi.org/10.1145/3491257}, +doi = {10.1145/3491257}, +abstract = {As an analytical tool in cyber-security, an attack graph (AG) is capable of discovering multi-stage attack vectors on target computer networks. Cyber-physical systems (CPSs) comprise a special type of network that not only contains computing devices but also integrates components that operate in the continuous domain, such as sensors and actuators. Using AGs on CPSs requires that the system models and exploit patterns capture both token- and real-valued information. In this paper, we describe a hybrid AG model for security analysis of CPSs and computer networks. Specifically, we focus on two issues related to applying the model in practice: efficient hybrid AG generation and techniques for information extraction from them. To address the first issue, we present an accelerated hybrid AG generator that employs parallel programming and high performance computing (HPC). We conduct performance tests on CPU and GPU platforms to characterize the efficiency of our parallel algorithms. To address the second issue, we introduce an analytical regimen based on centrality analysis and apply it to a hybrid AG generated for a target CPS system to discover effective vulnerability remediation solutions.}, +note = {Just Accepted}, +journal = {Digital Threats}, +month = {oct}, +keywords = {cyber-physical system, high performance computing, attack graph, breadth-first search} +} + +@inproceedings{CPSIOT, +author = {Al Ghazo, Alaa T. and Ibrahim, Mariam and Ren, Hao and Kumar, Ratnesh}, +title = {A2G2V: Automated Attack Graph Generator and Visualizer}, +year = {2018}, +isbn = {9781450358606}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +url = {https://doi.org/10.1145/3215466.3215468}, +doi = {10.1145/3215466.3215468}, +abstract = {The Internet of Things (IoT) and Cyber-Physical Systems (CPS) technologies have increased the complexity of systems and also exposed them to additional vulnerabilities. Attack-graphs are graphical representations that provide a complete view of how inter-dependencies among atomic vulnerabilities may be exploited by an adversary to stitch together an attack that can compromise the system. Their manual construction is tedious, error-prone, and time consuming. This paper presents a model-based Automated Attack-Graph Generator and Visualizer (A2G2V). Given the networked system description (its components, connectivity, services it supports, their vulnerabilities and protections), the attack graph enlists set of all possible sequences in which atomic-level vulnerabilities can be exploited to compromise a certain system-level security. The proposed A2G2V tool extends an existing formal methods tool (a model-checker) by integrating with it an architecture description tool, our own code (for parsing counterexamples, encoding those for specification relaxation, iterating till all attack sequences are revealed), and also a graph visualization tool.}, +booktitle = {Proceedings of the 1st ACM MobiHoc Workshop on Mobile IoT Sensing, Security, and Privacy}, +articleno = {3}, +numpages = {6}, +keywords = {Model Checking, Security, Enumerating Counterexamples, Internet of Things, Attack Graph, Cyber-Physical Systems}, +location = {Los Angeles, CA, USA}, +series = {Mobile IoT SSP'18} +} + +@article{10.1145/3105760, +author = {Mu\~{n}oz-Gonz\'{a}lez, Luis and Sgandurra, Daniele and Paudice, Andrea and Lupu, Emil C.}, +title = {Efficient Attack Graph Analysis through Approximate Inference}, +year = {2017}, +issue_date = {August 2017}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +volume = {20}, +number = {3}, +issn = {2471-2566}, +url = {https://doi.org/10.1145/3105760}, +doi = {10.1145/3105760}, +abstract = {Attack graphs provide compact representations of the attack paths an attacker can follow to compromise network resources from the analysis of network vulnerabilities and topology. These representations are a powerful tool for security risk assessment. Bayesian inference on attack graphs enables the estimation of the risk of compromise to the system’s components given their vulnerabilities and interconnections and accounts for multi-step attacks spreading through the system. While static analysis considers the risk posture at rest, dynamic analysis also accounts for evidence of compromise, for example, from Security Information and Event Management software or forensic investigation. However, in this context, exact Bayesian inference techniques do not scale well. In this article, we show how Loopy Belief Propagation—an approximate inference technique—can be applied to attack graphs and that it scales linearly in the number of nodes for both static and dynamic analysis, making such analyses viable for larger networks. We experiment with different topologies and network clustering on synthetic Bayesian attack graphs with thousands of nodes to show that the algorithm’s accuracy is acceptable and that it converges to a stable solution. We compare sequential and parallel versions of Loopy Belief Propagation with exact inference techniques for both static and dynamic analysis, showing the advantages and gains of approximate inference techniques when scaling to larger attack graphs.}, +journal = {ACM Trans. Priv. Secur.}, +month = {jul}, +articleno = {10}, +numpages = {30}, +keywords = {probabilistic graphical models, approximate inference, Bayesian networks} +} + +@ARTICLE{8290918, +author={Wang, Huan and Chen, Zhanfang and Zhao, Jianping and Di, Xiaoqiang and Liu, Dan}, +journal={IEEE Access}, +title={A Vulnerability Assessment Method in Industrial Internet of Things Based on Attack Graph and Maximum Flow}, +year={2018}, +volume={6}, +number={}, +pages={8599-8609}, +doi={10.1109/ACCESS.2018.2805690} +} + +@inproceedings{centrality_based, +author = {Gonda, Tom and Pascal, Tal and Puzis, Rami and Shani, Guy and Shapira, Bracha}, +year = {2018}, +month = {09}, +pages = {}, +title = {Analysis of Attack Graph Representations for Ranking Vulnerability Fixes}, +doi = {10.29007/2c1q} +} \ No newline at end of file diff --git a/TC_Template/Schrick-Noah_AG-CG-SyncFire.aux b/OJ_Template/Schrick-Noah_AG-CG-SyncFire.aux similarity index 55% rename from TC_Template/Schrick-Noah_AG-CG-SyncFire.aux rename to 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with Comprehensive Services}}{8}{}\protected@file@percent } +\newlabel{fig:Comp-Sync-Spd}{{9}{8}} +\@writefile{toc}{\contentsline {section}{\numberline {VI}Future Works}{8}{}\protected@file@percent } +\newlabel{sec:fw}{{VI}{8}} +\@writefile{toc}{\contentsline {section}{\numberline {VII}Conclusion}{8}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{REFERENCES}{8}{}\protected@file@percent } \bibcite{TVA}{15} \bibcite{louthan_hybrid_2011}{16} \bibcite{cook_rage_2018}{17} \bibcite{nichols_2018}{18} \bibstyle{ieeetr} -\@writefile{toc}{\contentsline {section}{References}{8}{}\protected@file@percent } -\gdef \@abspage@last{8} +\gdef \@abspage@last{9} diff --git a/OJ_Template/Schrick-Noah_AG-CG-SyncFire.bbl b/OJ_Template/Schrick-Noah_AG-CG-SyncFire.bbl new file mode 100644 index 0000000..453fc7e --- /dev/null +++ b/OJ_Template/Schrick-Noah_AG-CG-SyncFire.bbl @@ -0,0 +1,95 @@ +\begin{thebibliography}{10} + +\bibitem{phillips_graph-based_1998} +C.~Phillips and L.~P. Swiler, ``A graph-based system for network-vulnerability + analysis,'' {\em Proceedings New Security Paradigms Workshop}, vol.~Part + F1292, pp.~71--79, 1998. +\newblock doi: 10.1145/310889.310919. + +\bibitem{schneier_modeling_1999} +B.~Schneier, ``Modeling {Security} {Threats},'' {\em Dr. Dobb's Journal}, 1999. +\newblock vol. 24, no.12. + +\bibitem{ou_scalable_2006} +X.~Ou, W.~F. Boyer, and M.~A. Mcqueen, ``A {Scalable} {Approach} to {Attack} + {Graph} {Generation},'' {\em CCS '06: Proceedings of the 13th ACM conference + on Computer and communications security}, pp.~336--345, 2006. + +\bibitem{CPSIOT} +A.~T. Al~Ghazo, M.~Ibrahim, H.~Ren, and R.~Kumar, ``A2g2v: Automated attack + graph generator and visualizer,'' in {\em Proceedings of the 1st ACM MobiHoc + Workshop on Mobile IoT Sensing, Security, and Privacy}, Mobile IoT SSP'18, + (New York, NY, USA), Association for Computing Machinery, 2018. + +\bibitem{ming_jo} +M.~Li, P.~Hawrylak, and J.~Hale, ``Strategies for practical hybrid attack graph + generation and analysis,'' {\em Digital Threats}, oct 2021. +\newblock Just Accepted. + +\bibitem{10.1145/3105760} +L.~Mu\~{n}oz Gonz\'{a}lez, D.~Sgandurra, A.~Paudice, and E.~C. Lupu, + ``Efficient attack graph analysis through approximate inference,'' {\em ACM + Trans. Priv. Secur.}, vol.~20, jul 2017. + +\bibitem{8290918} +H.~Wang, Z.~Chen, J.~Zhao, X.~Di, and D.~Liu, ``A vulnerability assessment + method in industrial internet of things based on attack graph and maximum + flow,'' {\em IEEE Access}, vol.~6, pp.~8599--8609, 2018. + +\bibitem{centrality_based} +T.~Gonda, T.~Pascal, R.~Puzis, G.~Shani, and B.~Shapira, ``Analysis of attack + graph representations for ranking vulnerability fixes,'' 09 2018. + +\bibitem{j_hale_compliance_nodate} +{J. Hale}, P.~Hawrylak, and M.~Papa, ``Compliance {Method} for a + {Cyber}-{Physical} {System}.'' +\newblock U.S. Patent Number 9,471,789, Oct. 18, 2016. + +\bibitem{baloyi_guidelines_2019} +N.~Baloyi and P.~Kotzé, ``Guidelines for {Data} {Privacy} {Compliance}: {A} + {Focus} on {Cyberphysical} {Systems} and {Internet} of {Things},'' in {\em + {SAICSIT} '19: {Proceedings} of the {South} {African} {Institute} of + {Computer} {Scientists} and {Information} {Technologists} 2019}, (Skukuza + South Africa), Association for Computing Machinery, 2019. + +\bibitem{allman_complying_2006} +E.~Allman, ``Complying with {Compliance}: {Blowing} it off is not an option.,'' + {\em ACM Queue}, vol.~4, no.~7, 2006. + +\bibitem{sheyner_automated_2002} +O.~Sheyner, J.~Haines, S.~Jha, R.~Lippmann, and J.~Wing, ``Automated + {Generation} and {Analysis} of {Attack} {Graphs},'' {\em Proceeding of 2002 + IEEE Symposium on Security and Privacy}, pp.~254--265, 2002. + +\bibitem{zhang_boosting_2017} +J.~Zhang, S.~Khoram, and J.~Li, ``Boosting the performance of {FPGA}-based + graph processor using hybrid memory cube: {A} case for breadth first + search,'' {\em FPGA 2017 - Proceedings of the 2017 ACM/SIGDA International + Symposium on Field-Programmable Gate Arrays}, pp.~207--216, 2017. + +\bibitem{Monotonicity} +P.~Ammann, D.~Wijesekera, and S.~Kaushik, ``Scalable, graph-based network + vulnerability analysis,'' in {\em Proceedings of the 9th ACM Conference on + Computer and Communications Security}, CCS '02, (New York, NY, USA), + p.~217–224, Association for Computing Machinery, 2002. + +\bibitem{TVA} +S.~Jajodia and S.~Noel, {\em Topological Vulnerability Analysis}, vol.~46, + pp.~139--154. +\newblock 09 2010. + +\bibitem{louthan_hybrid_2011} +G.~Louthan, {\em Hybrid {Attack} {Graphs} for {Modeling} {Cyber}-{Physical} + {Systems}}. +\newblock PhD thesis, The {University} of {Tulsa}, 2011. + +\bibitem{cook_rage_2018} +K.~Cook, {\em {RAGE}: {The} {Rage} {Attack} {Graph} {Engine}}. +\newblock PhD thesis, The {University} of {Tulsa}, 2018. + +\bibitem{nichols_2018} +W.~M. Nichols, {\em {Hybrid} {Attack} {Graphs} for {Use} with a {Simulation} of + a {Cyber-Physical} {System}}. +\newblock PhD thesis, The {University} of {Tulsa}, 2018. + +\end{thebibliography} diff --git a/OJ_Template/Schrick-Noah_AG-CG-SyncFire.blg b/OJ_Template/Schrick-Noah_AG-CG-SyncFire.blg new file mode 100644 index 0000000..191f233 --- /dev/null +++ b/OJ_Template/Schrick-Noah_AG-CG-SyncFire.blg @@ -0,0 +1,49 @@ +This is BibTeX, Version 0.99d (TeX Live 2022/Arch Linux) +Capacity: max_strings=200000, hash_size=200000, hash_prime=170003 +The top-level auxiliary file: Schrick-Noah_AG-CG-SyncFire.aux +The style file: ieeetr.bst +Database file #1: Bibliography.bib +Warning--empty booktitle in centrality_based +Warning--empty publisher in TVA +You've used 18 entries, + 1876 wiz_defined-function locations, + 581 strings with 6930 characters, +and the built_in function-call counts, 4246 in all, are: += -- 415 +> -- 178 +< -- 0 ++ -- 67 +- -- 49 +* -- 286 +:= -- 624 +add.period$ -- 25 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zs#Fk@OFvv8+EBq*!4N1Il%HP$6a;n5f^uhzx3#Yw914YZ2?Flc{jQ1^We$JpQoDymXj*MPmhvBTKg0ivyi6B93&e^N8C~ z_K>ToDWEBX)5>_o)@hUF@89}u-F;S3=@&cK5smg05>9;%3S2KDXJ62?5szx&TPXXj zELK}TaIf)tP5%?E$PrkaLV7d$kI=Y+qjb#wo}0;NHEZ?{s5} z^rx;CPjzCr7dY)fz2>FOTnlCX9bDNr^^ovFuN7i42SuBlJUF-o6}67ENd0&jzDt$w z|GR!Q{$ua2KRNuR?n+96Te?Z)jFpbQoHMR+`ffFtnLq1Q!oPd=pA6SbU%pbVEF&nG z`AyUEm4arXYB#o|8XfleCR=QCZcdp&df~Hl#p1ftF>?&UJ)c!Mi ::= "group" + "exploit" , + ()= \end{spverbatim} +\\ +\\ +where the ``$<$group name$>$" identifier and ``group" keyword is optional. An example of an exploit not utilizing the group feature is: +\begin{spverbatim}exploit + brake_pads(2015_Toyota_Corolla_LE)=\end{spverbatim} +\\ +\\ +and an example of an exploit utilizing the group feature is: +\begin{spverbatim}time group exploit + advance_month(all_applicable)=\end{spverbatim} +\\ +\\ +To implement the keyword recognition and group name parsing, a few changes were made, where the intention was to detect the usage of the ``group" keyword, and have the lexical analyzer code return to the parser implementation file to alert of the presence of the ``GROUP" token. +The new token is of type string with the name ``GROUP", and it is comprised of a leading ``IDENTIFIER" of type string or integer token, followed by the ``GROUP" token. +This new token also required changes to the processing of the ``exploit" keyword. If the group keyword is not detected, the exploit has a group of name ``null". If the group keyword is detected, then the leading IDENTIFIER is parsed, and the exploit is assigned to a group with the parsed name. Various auxiliary functions were also adjusted to include (for instance) support for printing the groups of each exploit. Fig. \ref{fig:bison-flex} illustrates the incorporation of this feature into Bison, Flex, and the overall program. + +\begin{figure}[htp] + \centering + \includegraphics[width=2.5in]{"./images/schri2.png"} + \caption{Inclusion of Synchronous Firing into GNU Bison, GNU Flex, and the overall program} + \label{fig:bison-flex} +\end{figure} + + +\subsection{PostgreSQL} +As seen in Fig. \ref{fig:bison-flex}, Bison and Flex feed into the Model Database. With the addition of a new group identifier and the group keyword, minor alterations were needed to ensure compatibility with the PostgreSQL database. +One adjustment was to alter the exploit table in the SQL schema to include new columns of type ``TEXT". The second adjustment was to update the SQL builder functions. This included updating the related functions such as exploit creations, exploit parsing, database fetching, and SQL string builders to add additional room for the group identifier. Additional care was taken to ensure that the normalization form of the database was not altered. Before adding the group identifier to its appropriate table, additional checking was performed to ensure there would be no partial functional dependencies or transitive dependencies. + +\subsection{Compound Operators} +Many of the graphs previously generated by RAGE comprise of states with features that can be fully enumerated. In many of these generated graphs, there was an established set of qualities that was used, with an established set of values. These typically have included $``compliance$\_$vio=true/false"$, $``root=true/false"$, or other general $``true/false"$ values or $``version=X"$ qualities. +To expand on the types and complexities of graphs that can be generated and to allow for synchronous firing, compound operators have been added to RAGE. When updating a state, rather than setting a quality to a specific value, the previous value can now be modified by an amount specified through standard compound operators such as $\mathrel{+}=$, $\mathrel{-}=$, $\mathrel{*}=$, or $\mathrel{/}=$. +Previous work on an attack graph generator included the implementation of compound operators, as seen by the author of \cite{nichols_2018}. However, this work was conducted on the previous iteration of an attack graph generator written in Python. This attack graph generator has since been rewritten in C++ by the author of \cite{cook_rage_2018}, and compound operators were not included in the latest version of RAGE. + +The work conducted by the author of \cite{cook_rage_2018} when designing the software architecture of RAGE included specifications for a quality encoding scheme. As they discuss, qualities have four fields, which include the asset ID, attributes, operator, and value. The operator field is 4 bits, which allows for a total of 16 operators. Since the only operator in use at the time was the $``\mathrel{=}"$ operator, the addition of four compound operators does not surpass the 16 operator limit, and no encoding scheme changes were necessary. This also allows for additional compound operators to be incorporated in the future. + +A few changes were necessary to allow for the addition of compound operators. Before the generation of an attack graph begins, all values are stored in a hash table. For previous networks generated by RAGE, this was not a concern since all values could be fully enumerated and all possible values were known. When using compound operators however, not all values can be fully known. The task of approximating which exploits will be applicable and what absolute minimum or maximum value bounds will be prior to generation is difficult, and not all values can be enumerated and stored into the hash table. As a result, real-time updates to the hash table needed to be added to the generator. +The original key-value scheme for hash tables relied on utilizing the size of the hash table for values. Since the order in which updates happen may not always remain consistent (and is especially true in distributed computing environments), it is possible for states to receive different hash values with the original hashing scheme. To prevent this, the hashing scheme was adjusted so that the new value of the compound operator is inserted into the hash table values if it was not found, rather than the size of the hash table. +Previously, there was no safety check for the hash table, so if the value was not found, the program would end execution. The assertion that the new value can be inserted into the hash table is safe to make, since compound operators are conducted on numeric values, and matches the numeric type of the hash table. + +Other changes involved updating classes (namely the Quality, EncodedQuality, ParameterizedQuality, NetworkState, and Keyvalue classes) to include a new member for the operator in question. In addition, preconditions were altered to include operator overloads to check the asset identifier, quality name, and quality values for the update process. + +\subsection{Graph Generation} +The implementation of synchronous firing in the graph generation process relies on a map to hold the fired status of groups. Previously, each iteration of the applicable exploit vector loop generated a new state. With synchronous firing, all assets should be updating the same state, rather than each independently creating a new state. To implement this, each iteration of the applicable exploit vector checks if the current loop element is in a group and if that group has fired. If the element is in a group, the group has not been fired, and all group members are ready to fire, then all group members will loop through an update process to alter the single converged state. Otherwise, the loop will either continue to the next iteration if group conditions are not met, or will create a single state if it is not in a group. Fig. \ref{fig:sync-fire} displays the synchronous fire approach. + +\begin{figure}[htp] + \centering + \includegraphics[scale=0.5,width=2.5in]{"./images/schri3.png"} + \caption{Synchronous Firing in the Graph Generation Process} + \label{fig:sync-fire} +\end{figure} + + + +\section{Results} \label{sec:Results} +\subsection{Experimental Networks and Computing Platform} \label{sec:test-platform} +All data was collected on a 13 node cluster, with 12 nodes serving as dedicated compute nodes, and 1 node serving as the login node. Each compute node has a configuration as follows: +\begin{itemize} + \item{OS: CentOS release 6.9} + \item{CPU: Two 8-core Intel Xeon E5-2620 v3} + \begin{itemize} + \item{With hyperthreading: 2 threads/process per core} + \end{itemize} + \item{Two Intel Xeon Phi Co-Processors} + \item{One FPGA (Nallatech PCIE-385n A7 Altera Stratix V)} + \item{Memory: 64318MiB} +\end{itemize} +All nodes are connected with a 10Gbps Infiniband interconnect. + +The example networks for testing the effectiveness of synchronous firing follow the compliance graph generation approach. These networks analyze two assets, both of which are identical 2006 Toyota Corolla cars with identical qualities. The generation examines both cars at their current states, and proceeds to advance in time by a pre-determined amount, up to a pre-determined limit. Each time increment updates each car by an identical amount of mileage. During the generation process, it is determined if a car is out of compliance either through mileage or time since its last maintenance in accordance with the Toyota Corolla Maintenance Schedule manual. + +In addition, the tests employ the use of ``services", where if a car is out of compliance, it will go through a correction process and reset the mileage and time since last service. Each test varies in the number of services used. The 1 Service case only employs one service, and it is dedicated to brake pads. The 2-Service case employs two services, where the first service is dedicated to the brake pads, and the second is for exhaust pipes. This process extends to the 3-, 4-, 5-, and 6-Service cases. +The experimental setup is as follows: +\begin{itemize} + \item{All cases ran for 12 months, with time steps of 1 month.} + \item{All cases had the same number of compliance checks: brake pads, exhaust pipes, vacuum pumps, AC filters, oil changes, and driveshaft boots.} + \item{There were 12 base exploits, and an additional 6 exploits were individually added in the form of services for each test.} + \item{All cases used the same network model.} + \item{All cases used the same exploit file, with the exception of the ``group" keyword being present in the synchronous firing testing.} + \item{All services must be performed prior to advancing time, if services are applicable.} + \item{Graph visualization was not timed. Only the generation and database operation time was measured.} +\end{itemize} + +The compliance checks are as follows: +\begin{itemize} + \item{Brake pads: to be checked every 6 months} + \item{Exhaust pipes: to be checked every 12 months} + \item{AC filter: to be checked every 12,000 miles} + \item{Vacuum pump: to be checked every 120,000 miles} + \item{Engine oil: to be checked every 6,000 miles} + \item{Driveshaft boots: to be checked every 12,000 miles} +\end{itemize} + +\subsection{Results and Analysis} +\subsubsection{Results for the Theoretical Environment} \label{sec:theo_res} +Using the experimental setup described in Section \ref{sec:test-platform} on the platform described at the beginning of Section \ref{sec:test-platform}, results were collected in regards to the effect of synchronous firing on both state space and runtime. The graphs' edge to state ratio (E/S Ratio) was computed as well. These results can be seen in Figures \ref{fig:Sync-RT} and \ref{fig:Sync-State}. The respective tables are seen in Tables \ref{table:NS-Table} and \ref{table:S-Table}. Both figures show a decrease in the number of states and a decrease in the runtime when synchronous firing is utilized. Since synchronous firing prevents the generation of unattainable states, there is no meaningful information loss that occurs in the graphs generated with the synchronous firing feature. Since the resulting number of states was also reduced, there will be increased justification for the synchronous firing approach due to a reduced runtime for the analysis process. Fig. \ref{fig:Sync-Spd} displays the speedup (according to Amdahl's Law) obtained when using synchronous firing instead of non-synchronous firing for identical setups. + +When examining the E/S Ratio for the non-synchronous graphs, it is both expected and observed that the ratio slightly increases as the number of services increases. When more applicable exploits are used during the generation process, the number of permutations increases, which corresponds with the growing number of states and edges. However, the increase in the number of services also increases the relation between states and the new permutations. + +When comparing the E/S Ratio for the non-synchronous graphs to the E/S Ratio for the synchronous graphs, it is observed that the ratio does not remain constant. For example, for the 5-Service case, the non-synchronous graph has an E/S Ratio of 6.398, and the synchronous graph has an E/S Ratio of 7.209. While the number of states and the number of edges is reduced when using synchronous firing, the ratio of edges to states is not necessarily constant or reduced. + +\begin{figure} + \centering + \includegraphics[width=3.3in]{"./images/schri4.png"} + \includegraphics[width=3.3in]{"./images/schri5.png"} + \caption[Synchronous Firing on Runtime]{Bar Graph and Line Graph Representations of Synchronous Firing on Runtime} + \label{fig:Sync-RT} +\end{figure} + +\begin{figure} + \centering + \includegraphics[width=3.3in]{"./images/schri6.png"} + \includegraphics[width=3.3in]{"./images/schri7.png"} + \caption{Bar Graph and Line Graph Representations of Synchronous Firing on State Space} + \label{fig:Sync-State} +\end{figure} + +\begin{figure}[htp] + \centering + \includegraphics[width=3.3in]{"./images/schri8.png"} + \caption{Speedup (Amdahl's) Obtained When Using Synchronous Firing} + \label{fig:Sync-Spd} +\end{figure} + +\begin{table}[htp] + \caption{Results for the Non-Synchronous Firing Testing} + \label{table:NS-Table} + \centering + \setlength\tabcolsep{4pt} + \begin{tabular}{|c|c|c|c|c|} + \hline + \multicolumn{5}{|c|}{Non-Synchronous Firing} \\ \hline + \textbf{\begin{tabular}[c]{@{}c@{}}Number of \\ Services\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Number of \\ States\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Number of \\ Edges\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Runtime\\ (ms)\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}E/S\\ Ratio\end{tabular}} + \\ \hline + 1 & 37001 & 202920 & 87366.65 & 5.484 \\ \hline + 2 & 46361 & 259400 & 115929.97 & 5.595 \\ \hline + 3 & 72489 & 405236 & 184634.34 & 5.590 \\ \hline + 4 & 93525 & 546280 & 252959.511 & 5.841 \\ \hline + 5 & 209944 & 1254784 & 588336.01 & 5.977 \\ \hline + 6 & 423940 & 2712165 & 1581697.61 & 6.398 \\ \hline + \end{tabular} +\end{table} + +\begin{table}[htp] + \caption{Results for the Synchronous Firing Testing} + \label{table:S-Table} + \centering + \setlength\tabcolsep{4pt} + \begin{tabular}{|c|c|c|c|c|c|} + \hline + \multicolumn{6}{|c|}{Synchronous Firing} \\ \hline + \textbf{\begin{tabular}[c]{@{}c@{}}Services\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}States\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Edges\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Runtime\\(ms)\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}E/S\\Ratio\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Speedup\end{tabular}} + \\ \hline + 1 & 6277 & 3.46E04 & 1.48E04 & 5.507 & 5.87 \\ \hline + 2 & 11653 & 6.94E04 & 2.92E04 & 5.954 & 3.96 \\ \hline + 3 & 25317 & 1.60E05 & 6.68E04 & 6.321 & 2.76 \\ \hline + 4 & 36949 & 2.42E05 & 1.02E05 & 6.538 & 2.47 \\ \hline + 5 & 83134 & 5.71E05 & 2.44E05 & 6.868 & 2.42 \\ \hline + 6 & 186679 & 1.35E06 & 5.82E05 & 7.209 & 2.72 \\ \hline + \end{tabular} +\end{table} + +\subsubsection{Results for a Grouped Environment} +The environment and resulting graphs presented in Section \ref{sec:theo_res} depict the possible states of the two cars in compliance graph formats. While these graphs demonstrated accurate, exhaustive depictions of the cars and their compliance standings, they may not be realistic representations of the most likely outcomes. If a car was due for two compliance checks at the same time, it is unlikely that the car would be taken for one maintenance, returned to its original destination, then driven immediately back for maintenance, and finally to its original destination once more. The more realistic scenario is that the car is taken for maintenance, both services are performed at the same visit, and then the car is returned to its original destination. + +Another set of graphs were generated using only the 3-Service case. These services were for a driveshaft boot check, an AC filter change, and an oil change. This set of graphs used `comprehensive services", where a car would undergo multiple services simultaneously. With three services used, there are a total of three permutations: all three services are done individually, two services are performed simultaneously while the other is performed later, and all three services are performed simultaneously. + +For this set of examples, all compliance checks have the same time requirements. This work does not introduce any heuristics or methodologies for intentionally performing services early or late. If Service A was required no later than every 6 months, but Service B was required no later than every 8 months, then joining Service A and Service B together would either mean: 1. Service B was completed 2 months earlier than it needed to be, or 2. Service A was completed 2 months later than it needed to be. This was considered out of scope for this approach, but this is noted in the Future Works Section (Section \ref{sec:fw}). + +These results are seen in Table \ref{table:Sync-Comp-Table} for the synchronous firing enabled generation, and Table \ref{table:Non-Sync-Comp-Table} for the non-synchronous firing generation. The corresponding figures for the runtime can be seen in Fig. \ref{fig:Comp-Sync-RT}, and the corresponding figures for state space can be seen in Fig. \ref{fig:Comp-Sync-State}. It is noticeable that there is a state space reduction achieved through synchronous firing in this set of examples, along with a runtime improvement. When all three services were conjoined, synchronous firing provided a 5.09x speedup over non-synchronous firing. Using comprehensive services on their own also provided a reduction in state space and an improvement in runtime. When synchronous firing was enabled and comprehensive services were used, the total number of states could be reduced from 25,317 to 3,774, providing a a 6.7x reduction in state space solely from combining services. + +Leveraging comprehensive services with synchronous firing enables users to significantly reduce the size of the resulting attack or compliance graphs. Comprehensive services also enable users to introduce heuristics to analyze and identify optimal service plans for compliance, or attack mitigation strategies for attack graphs. Coupled with synchronous firing, analysis of these optimal plans can be performed quicker due to the inexistence of superfluous, unattainable states. + +\begin{table}[htp] + \caption{Results for the Comprehensive Services without Synchronous Firing} + \label{table:Non-Sync-Comp-Table} + \centering + \setlength\tabcolsep{4pt} + \begin{tabular}{|c|c|c|c|c|} + \hline + \multicolumn{5}{|c|}{Comprehensive Services with Non-Synchronous Firing} \\ \hline + \textbf{Permutation} + & \textbf{\begin{tabular}[c]{@{}c@{}}States\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Edges\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Runtime\\(ms)\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}E/S\\Ratio\end{tabular}} + \\ \hline + \begin{tabular}[c]{@{}c@{}}All \\ Disjoint\end{tabular} + & 72489 & 405236 & 184634.34 & 5.590 \\ \hline + \begin{tabular}[c]{@{}c@{}}Any Two\\Services,\\One Disjoint\end{tabular} + & 50052 & 241176 & 125176.22 & 4.819 \\ \hline + \begin{tabular}[c]{@{}c@{}}All \\ Conjoined\end{tabular} + & 19764 & 87024 & 47126.42 & 4.403 \\ \hline + \end{tabular} +\end{table} + +\begin{table}[htp] + \caption{Results for the Comprehensive Services with Synchronous Firing} + \label{table:Sync-Comp-Table} + \centering + \setlength\tabcolsep{4pt} + \begin{tabular}{|c|c|c|c|c|c|} + \hline + \multicolumn{6}{|c|}{Comprehensive Services with Synchronous Firing} \\ \hline + \textbf{Permutation} + & \textbf{\begin{tabular}[c]{@{}c@{}}States\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Edges\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Runtime\\ (ms)\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}E/S\\ Ratio\end{tabular}} + & \textbf{\begin{tabular}[c]{@{}c@{}}Speedup\end{tabular}} + \\ \hline + \begin{tabular}[c]{@{}c@{}}All \\ Disjoint\end{tabular} + & 25317 & 160041 & 66799.18 & 6.321 & 2.76 \\ \hline + \begin{tabular}[c]{@{}c@{}}Any Two\\Services,\\One Disjoint\end{tabular} + & 10398 & 55354 & 26042.85 & 5.324 & 4.81 \\ \hline + \begin{tabular}[c]{@{}c@{}}All \\ Conjoined\end{tabular} + & 3774 & 18370 & 9261.03 & 4.868 & 5.09 \\ \hline + \end{tabular} +\end{table} + +\begin{figure} + \centering + \includegraphics[width=3.3in]{"./images/schri9.png"} + \includegraphics[width=3.3in]{"./images/schri10.png"} + \caption[Synchronous Firing on Runtime]{Bar Graph and Line Graph Representations of Synchronous Firing with Comprehensive Services on Runtime} + \label{fig:Comp-Sync-RT} +\end{figure} + +\begin{figure} + \centering + \includegraphics[width=3.3in]{"./images/schri11.png"} + \includegraphics[width=3.3in]{"./images/schri12.png"} + \caption{Bar Graph and Line Graph Representations of Synchronous Firing with Comprehensive Services on State Space} + \label{fig:Comp-Sync-State} +\end{figure} + +\begin{figure}[htp] + \centering + \includegraphics[width=3.3in]{"./images/schri13.png"} + \caption{Speedup (Amdahl's) Obtained When Using Synchronous Firing with Comprehensive Services} + \label{fig:Comp-Sync-Spd} +\end{figure} + + +\section{Future Works} \label{sec:fw} +As seen and discussed in Section \ref{sec:inseparable}, when unattainable states are generated, there is a compounding effect. Each unattainable state is explored, and is likely to generate additional unattainable states. Future works include examining the effect of synchronous firing when more assets are utilized. It is hypothesized that the synchronous firing approach will lead to an increased runtime reduction and state space reduction due to the increased number of unattainable state permutations. This work had a limited number of assets, but generated upwards of 400,000 states due to repeated applications of the exploit set due to the services corresponding with the compliance graph. Future work could alter the scenario to have a greater number of assets, and a standard set of exploits more akin to an attack graph rather than a compliance graph. Other future works could include measuring the performance of synchronous firing when multiple groups of inseparable features are used. This work used a single group, but multiple groups be added to examine the performance of the feature. + +Another avenue for future work would be to take a network science approach. There may be features of interest from examining the topology of the resulting graphs with and without synchronous firing. Various centrality metrics could be examined, as well as examining transformations such as dominant trees or transitive closures derived from the original graphs. Each approach could compare each graph when using or not using synchronous firing to determine if there are possible points of interest. Taking a network science approach could also examine and analyze the E/S Ratio of the graphs when using or not using synchronous firing, and attempt to provide further insight on what those differences mean in terms of usability of the graphs. + +Introducing service heuristics could improve the characteristics of synchronous firing. If services are performed too early, then additional states would be generated in the resulting graph. If synchronous firing was not used, these additional states could compound into more states due to the separation of features. Likewise, if services are performed too late, then additional states could be generated to represent the compliance violation, and these states may also compound into more statues without synchronous firing. Examining the impact of synchronous firing when various heuristics are implemented could reveal interesting results. + +\section{Conclusion} +This work implemented a state space explosion mitigation technique called synchronous firing. This feature is able to fire exploits simultaneously among a group of assets through a single state transition. By firing exploits across multiple assets, it is able to prevent the separation of features that should normally be inseparable (such as time), and successfully reduces the number of total states in the resulting attack or compliance graph. This feature does not alter the procedure of the generation process in a way that undermines the integrity of the resulting attack or compliance graph, and only groups assets through defined inseparable features. This feature is also toggleable, and the generation process seen in Fig. \ref{fig:sync-fire} does not change if the feature is disabled. This feature successfully reduced the total number of states, reduced the runtime of the generation process, and can lead to a reduced analysis process due to a smaller resulting graph. + +\bibliography{Bibliography} +\bibliographystyle{ieeetr} + +\end{document} \ No newline at end of file diff --git a/OJ_Template/Template/IEEE-open-journal-template.zip b/OJ_Template/Template/IEEE-open-journal-template.zip new file mode 100644 index 0000000000000000000000000000000000000000..49ad53a7b3a70eb82400ed5e4d15a73db5d0b05c GIT binary patch literal 3404394 zcmV)nK%Ku(O9KQ7000000MvcRRCqLs(DYmZ0Q6h|00sa60AVpMaBgRbP)Px#1ZP1_K>z@;j|==^ z1poj532;bRa{vG?BLDy{BLR4&KXw2B|D{PpK~#8NY<&kvTkZFM-~}NN2q9c9xg=a8 zaf?yWDk2t9sn$xDHPpKIo-vwe+^x^&vWhje&6r+ z_kV1(>h;Ozo^zfvp68r%X$uRpLjx1jExnVIlLKupA3SdD+ul~7vAwymGSShuw!5d; zq%AJ5O!tjX4~|aH%#MA1`?UUj>+<#vx@v24ZEm`&YjtOLM?qU#Sy>+Lof)5;nV+5P z{rs}=&6}Yug<=OT+gM$k>S~*V|0`(gYwIg>y`wWz^KQ5DdDxu^zf$tDm}TO95By?rrq1ve*Q1 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