Auto sync: 2025-12-05 19:50:41 (47 files changed)

M  .task/backlog.data

M  .task/completed.data

M  .task/pending.data

M  .task/undo.data

R  Writing/ERLM/goals-and-outcomes/research_statement.tex -> Writing/ERLM/1-goals-and-outcomes/research_statement.tex

R  Writing/ERLM/goals-and-outcomes/v1.tex -> Writing/ERLM/1-goals-and-outcomes/v1.tex

R  Writing/ERLM/goals-and-outcomes/v2.tex -> Writing/ERLM/1-goals-and-outcomes/v2.tex

R  Writing/ERLM/goals-and-outcomes/v3.tex -> Writing/ERLM/1-goals-and-outcomes/v3.tex

.task/backlog.data

@@ -357,3 +357,8 @@
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+{"description":"Review and edit State of the Art section","due":"20251205T050000Z","end":"20251205T225952Z","entry":"20251202T132235Z","modified":"20251205T225952Z","project":"ERLM","status":"completed","uuid":"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3","tags":["editing"]}
+{"description":"Review and edit Research Approach section","due":"20251205T050000Z","entry":"20251202T132235Z","modified":"20251205T230823Z","project":"ERLM","start":"20251205T230823Z","status":"pending","uuid":"9ce7d23c-0f56-49af-b97d-a684966cfbae","tags":["editing"]}
+{"description":"Review and edit Goals and Outcomes section","due":"20251205T050000Z","end":"20251206T004937Z","entry":"20251202T132235Z","modified":"20251206T004937Z","project":"ERLM","status":"completed","uuid":"0888fdb8-f5cd-4374-a589-b7b3c1bbd472","tags":["editing"]}
+{"description":"Review and edit Research Approach section","due":"20251205T050000Z","end":"20251206T004937Z","entry":"20251202T132235Z","modified":"20251206T004937Z","project":"ERLM","status":"completed","uuid":"9ce7d23c-0f56-49af-b97d-a684966cfbae","tags":["editing"]}
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.task/completed.data

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.task/pending.data

@@ -67,10 +67,7 @@
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 [description:"Reach out to FSAE for job placement info and website content" due:"1764824400" entry:"1764681551" modified:"1764681551" project:"Chair-Search" status:"pending" uuid:"ca5f0450-483f-4a93-aba1-d06e71b4df5c"]
-[description:"Review and edit Goals and Outcomes section" due:"1764910800" entry:"1764681755" modified:"1764689232" project:"ERLM" start:"1764689232" status:"pending" tags:"editing" tags_editing:"x" uuid:"0888fdb8-f5cd-4374-a589-b7b3c1bbd472"]
+[description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764982196" project:"ERLM" start:"1764982196" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
-[description:"Review and edit State of the Art section" due:"1764910800" entry:"1764681755" modified:"1764796626" project:"ERLM" start:"1764796626" status:"pending" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
-[description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
-[description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
 [description:"Review and edit Risks and Contingencies section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"e354ab0c-cef7-41e2-bfb4-d98886e512b7"]
 [description:"Review and edit Broader Impacts section" due:"1764910800" entry:"1764681756" modified:"1764681756" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"d1fa2409-2f2f-4855-81be-14ee617df5d2"]
 [description:"Review and edit Budget section" due:"1764910800" entry:"1764681756" modified:"1764681756" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"689420d6-7191-42b6-b691-94ad39c8e0dd"]

.task/undo.data

@@ -1274,3 +1274,23 @@ time 1764796626
 old [description:"Review and edit State of the Art section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
 new [description:"Review and edit State of the Art section" due:"1764910800" entry:"1764681755" modified:"1764796626" project:"ERLM" start:"1764796626" status:"pending" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
 ---
+time 1764975592
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+new [description:"Review and edit State of the Art section" due:"1764910800" end:"1764975592" entry:"1764681755" modified:"1764975592" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
+---
+time 1764976103
+old [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
+new [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764976103" project:"ERLM" start:"1764976103" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
+---
+time 1764982177
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+new [description:"Review and edit Goals and Outcomes section" due:"1764910800" end:"1764982177" entry:"1764681755" modified:"1764982177" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"0888fdb8-f5cd-4374-a589-b7b3c1bbd472"]
+---
+time 1764982177
+old [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764976103" project:"ERLM" start:"1764976103" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
+new [description:"Review and edit Research Approach section" due:"1764910800" end:"1764982177" entry:"1764681755" modified:"1764982177" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
+---
+time 1764982196
+old [description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
+new [description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764982196" project:"ERLM" start:"1764982196" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
+---

Writing/ERLM/2-state-of-the-art/v6.tex

@@ -1,4 +1,3 @@
-\newpage
 \section{State of the Art and Limits of Current Practice}
 
 The principal aim of this research is to create autonomous reactor control

Writing/ERLM/3-research-approach/v4.tex

@@ -1,30 +1,7 @@
-\newpage
 \section{Research Approach}
 
 This research will overcome the limitations of current practice to build 
-high-assurance hybrid control systems for critical infrastructure. Hybrid 
+high-assurance hybrid control systems for critical infrastructure. To build these systems with formal correctness guarantees, we must accomplish 
-systems combine continuous dynamics (flows) with discrete transitions (jumps), 
-which can be formally expressed as:
-
-\begin{equation}
-\dot{x}(t) = f(x(t),q(t),u(t))
-\end{equation}
-
-\begin{equation}
-q(k+1) = \nu(x(k),q(k),u(k))
-\end{equation}
-
-Here, $f(\cdot)$ defines the continuous dynamics while $\nu(\cdot)$ governs 
-discrete transitions. The continuous states $x$, discrete state $q$, and 
-control input $u$ interact to produce hybrid behavior. The discrete state $q$ 
-defines which continuous dynamics mode is currently active. Our focus centers 
-on continuous autonomous hybrid systems, where continuous states remain 
-unchanged during jumps—a property naturally exhibited by physical systems. For 
-example, a nuclear reactor switching from warm-up to load-following control 
-cannot instantaneously change its temperature or control rod position, but can
-instantaneously change control laws.
-
-To build these systems with formal correctness guarantees, we must accomplish 
 three main thrusts:
 
 \begin{enumerate}
@@ -34,51 +11,26 @@ three main thrusts:
   \item Create the discrete half of a hybrid controller using reactive synthesis
 
   \item Develop continuous controllers to operate between modes, and verify
-    their correctness using reachability analysis
+    their correctness
 
 \end{enumerate}
 
-The following sections discuss how these thrusts will be accomplished.
-
-\subsection{$(Procedures \wedge FRET) \rightarrow Temporal Specifications$}
-
 The motivation behind this work stems from the fact that commercial nuclear
-power operations remain manually controlled by human operators, despite
+power operations remain manually controlled by human operators, but procedures
-significant advances in control systems sophistication. The key insight is that
+performed by human operators are highly prescriptive and well-documented. This
-procedures performed by human operators are highly prescriptive and
+suggests that human operators in nuclear power plants may not be entirely
-well-documented. This suggests that human operators in nuclear power plants may
+necessary given today's available technology. Written procedures and
-not be entirely necessary given today's available technology.
+requirements in nuclear power are sufficiently detailed that we may be able to
+translate them into logical formulae with minimal effort. If successful, this
+approach would enable automation of existing procedures without requiring system
+reengineering. To formalize these procedures, we will use temporal logic, which
+captures system behaviors through temporal relations.
 
-Written procedures and requirements in nuclear power are sufficiently detailed
+The most efficient path to accomplish this translation is through NASA's Formal
-that we may be able to translate them into logical formulae with minimal effort.
+Requirements Elicitation Tool (FRET). FRET employs a specialized requirements
-If successful, this approach would enable automation of existing procedures
+language called FRETish that restricts requirements to easily understood
-without requiring system reengineering. To formalize these procedures, we will
+components while eliminating ambiguity~\cite{katis_capture_2022}. FRETish bridges natural
-use temporal logic, which captures system behaviors through temporal relations.
+language and mathematical specifications through a structured English-like
-Linear Temporal Logic (LTL) provides four fundamental operators: next ($X$),
-eventually ($F$), globally ($G$), and until ($U$). These operators enable
-precise specification of time-dependent requirements.
-
-Consider a nuclear reactor SCRAM requirement expressed in natural language: 
-\textit{``If a high temperature alarm triggers, control rods must immediately 
-insert and remain inserted until operator reset.''} This plain language 
-requirement can be translated into a rigorous logical specification:
-
-\begin{equation}
-G(HighTemp \rightarrow X(RodsInserted \wedge (\neg RodsWithdrawn\ U\ 
-OperatorReset)))
-\end{equation}
-
-This specification precisely captures the temporal relationship between the 
-alarm condition, the required response, and the persistence requirement. The 
-global operator $G$ ensures this property holds throughout system operation, 
-while the next operator $X$ enforces immediate response. The until operator 
-$U$ maintains the state constraint until the reset condition occurs.
-
-The most efficient path to accomplish this translation is through NASA's 
-Formal Requirements Elicitation Tool (FRET). FRET employs a specialized 
-requirements language called FRETish that restricts requirements to easily 
-understood components while eliminating ambiguity. FRETish bridges natural 
-language and mathematical specifications through a structured English-like 
 syntax that is automatically translatable to temporal logic.
 
 FRET enforces this structure by requiring all requirements to contain six 
@@ -111,12 +63,35 @@ during autonomous controller development, we can deliver controllers free from
 these vulnerabilities.
 
 FRET provides the capability to export requirements in temporal logic format
-compatible with reactive synthesis tools. This export functionality enables
+compatible with reactive synthesis tools. Linear Temporal Logic (LTL) builds
-progression to the next step of our approach: synthesizing discrete mode
+upon modal logic's foundational operators for necessity ($\Box$, ``box'') and
-switching behavior from the formalized requirements.
+possibility ($\Diamond$, ``diamond''), extending them to reason about temporal
+behavior~\cite{baier_principles_2008}. The box operator $\Box$ expresses that a
+property holds at all future times (necessarily always), while the diamond
+operator $\Diamond$ expresses that a property holds at some future time
+(possibly eventually). These are complemented by the next operator ($X$) for the
+immediate successor state and the until operator ($U$) for expressing
+persistence conditions.
 
-\subsection{$(TemporalLogic \wedge ReactiveSynthesis) \rightarrow
+Consider a nuclear reactor SCRAM requirement expressed in natural language:
-DiscreteAutomata$}
+\textit{``If a high temperature alarm triggers, control rods must immediately
+insert and remain inserted until operator reset.''} This plain language
+requirement can be translated into a rigorous logical specification:
+
+\begin{equation} 
+  \Box(HighTemp \rightarrow X(RodsInserted \wedge (\neg
+  RodsWithdrawn\ U\ OperatorReset))) 
+\end{equation}
+
+This specification precisely captures the temporal relationship between the
+alarm condition, the required response, and the persistence requirement. The
+necessity operator $\Box$ ensures this safety property holds throughout all
+possible future system executions, while the next operator $X$ enforces
+immediate response. The until operator $U$ maintains the state constraint until
+the reset condition occurs. There is no ambiguity on the control in this
+scenario because all decisions are represented by discrete variables.
+Formulating operating rules using this logic enforces a finite and correct way
+of operating.
 
 Reactive synthesis is an active research field in computer science focused on
 generating discrete controllers from temporal logic specifications. The term
@@ -135,8 +110,9 @@ finite state representations.
 
 We will employ state-of-the-art reactive synthesis tools, particularly Strix,
 which has demonstrated superior performance in the Reactive Synthesis
-Competition (SYNTCOMP) through efficient parity game solving algorithms. Strix
+Competition (SYNTCOMP) through efficient parity game solving
-translates linear temporal logic specifications into deterministic automata
+algorithms~\cite{meyer_strix_2018,jacobs_reactive_2024}. Strix
+translates linear temporal logic specifications into deterministic autom\cite
 automatically while maximizing generated automata quality. Once constructed, the
 automaton can be straightforwardly implemented using standard programming
 control flow constructs. The graphical representation provided by the automaton
@@ -158,15 +134,30 @@ will not make switching errors between continuous modes. By synthesizing
 controllers from logical specifications with guaranteed correctness, we
 eliminate the possibility of switching errors.
 
-\subsection{$(DiscreteAutomata \wedge ControlTheory \wedge Reachability) 
+While discrete system components will be synthesized with correctness
-\rightarrow ContinuousModes$}
+guarantees, they represent only half of the complete system. Autonomous
+controllers like those we are developing exhibit continuous dynamics within
+discrete states. These systems, called hybrid systems, combine continuous
+dynamics (flows) with discrete transitions (jumps). These dynamics can be
+formally expressed as~\cite{branicky_multiple_1998}:
 
-While discrete system components will be synthesized with correctness 
+\begin{equation}
-guarantees, they represent only half of the complete system. Autonomous 
+\dot{x}(t) = f(x(t),q(t),u(t))
-controllers like those we are developing exhibit continuous dynamics within 
+\end{equation}
-discrete states, as described by $f(\cdot)$ in Equation 1. This section 
+
-describes how we will develop continuous control modes, verify their 
+\begin{equation}
-correctness, and address the unique verification challenges of hybrid systems.
+q(k+1) = \nu(x(k),q(k),u(k))
+\end{equation}
+
+Here, $f(\cdot)$ defines the continuous dynamics while $\nu(\cdot)$ governs 
+discrete transitions. The continuous states $x$, discrete state $q$, and 
+control input $u$ interact to produce hybrid behavior. The discrete state $q$ 
+defines which continuous dynamics mode is currently active. Our focus centers 
+on continuous autonomous hybrid systems, where continuous states remain 
+unchanged during jumps—a property naturally exhibited by physical systems. For 
+example, a nuclear reactor switching from warm-up to load-following control 
+cannot instantaneously change its temperature or control rod position, but can
+instantaneously change control laws.
 
 The approach described for producing discrete automata yields physics-agnostic 
 specifications that represent only half of a complete hybrid autonomous 
@@ -211,67 +202,70 @@ on discrete mode transitions:
 Building continuous modes after constructing discrete automata enables local
 controller design focused on satisfying discrete transitions. The primary
 challenge in hybrid system verification is ensuring global stability across
-transitions. Current techniques struggle with this problem because dynamic
+transitions~\cite{branicky_multiple_1998}. Current techniques struggle with this
-discontinuities complicate verification. This work alleviates these problems by
+problem because dynamic discontinuities complicate
-designing continuous controllers specifically with transitions in mind. By
+verification~\cite{bansal_hamilton-jacobi_2017,guernic_reachability_2009}. This work
-decomposing continuous modes according to their required behavior at transition
+alleviates these problems by designing continuous controllers specifically with
-points, we avoid solving trajectories through the entire hybrid system. Instead,
+transitions in mind. By decomposing continuous modes according to their required
-we can use local behavior information at transition boundaries. To ensure
+behavior at transition points, we avoid solving trajectories through the entire
-continuous modes satisfy their requirements, we will employ three main
+hybrid system. Instead, we can use local behavior information at transition
-techniques: reachability analysis, assume-guarantee contracts, and barrier
+boundaries. To ensure continuous modes satisfy their requirements, we will
-certificates.
+employ three main techniques: reachability analysis, assume-guarantee contracts,
+and barrier certificates.
 
-\textbf{Reachability Analysis:} Reachability analysis computes the reachable set
+Reachability analysis computes the reachable set of states for a given input
-of states for a given input set. While trivial for linear continuous systems,
+set. While trivial for linear continuous systems, recent advances have extended
-recent advances have extended reachability to complex nonlinear systems. We will
+reachability to complex nonlinear
-use reachability to define continuous state ranges at discrete transition
+systems~\cite{frehse_spaceex_2011,mitchell_time-dependent_2005}. We will use
-boundaries and verify that requirements are satisfied within continuous modes.
+reachability to define continuous state ranges at discrete transition boundaries
-Recent advances using neural network approximations of Hamilton-Jacobi equations
+and verify that requirements are satisfied within continuous modes.
-have demonstrated significant speedups while maintaining safety guarantees for
+Assume-guarantee contracts will be employed when continuous state boundaries are
-high-dimensional systems, expanding the practical applicability of these
+not explicitly defined. For any given mode, the input range for reachability
-methods.
+analysis is defined by the output ranges of discrete modes that transition to
+it. This compositional approach ensures each continuous controller is prepared
+for its possible input range, enabling subsequent reachability analysis without
+requiring global system analysis. Finally, we will use barrier certificates to
+prove that mode transitions are satisfied. Barrier certificates ensure that
+continuous modes on either side of a transition behave appropriately by ensuring
+no system trajectories cross a given barrier. Control barrier functions provide
+a method to certify safety by establishing differential inequality conditions
+that guarantee forward invariance of safe sets~\cite{prajna_safety_2004}. For
+example, a barrier certificate can guarantee that a transitory mode transferring
+control to a stabilizing mode will always move away from the transition
+boundary, rather than destabilizing the target stabilizing mode.
 
-\textbf{Assume-Guarantee Contracts:} Assume-guarantee contracts will be 
+This compositional approach has several advantages. First, this research
-employed when continuous state boundaries are not explicitly defined. For any 
+approach breaks down the autonomous controller design into smaller chunks. For
-given mode, the input range for reachability analysis is defined by the output 
+designers of future autonomous control systems, the barrier to entry is small,
-ranges of discrete modes that transition to it. This compositional approach 
+while milestones in design are clear by the procedural nature of this research
-ensures each continuous controller is prepared for its possible input range, 
+plan. Second, the ability to measure design progress also enables the
-enabling subsequent reachability analysis without requiring global system 
+measurement of regulatory adherence. Each step in this development procedure
-analysis.
+generates an artifact that can be independently evaluated as proof of safety and
+performance. Finally, the compositional component of this development plan
+enables incremental refinement between control system layers. For example,
+difficulty in developing a continuous mode may reflect a discrete automata that
+is too restrictive, which in turn may result in refinement of system design
+requirements. This synthesis between levels will promote broader understanding
+of the autonomous controller.
 
-\textbf{Barrier Certificates:} Finally, we will use barrier certificates to 
+To demonstrate this methodology, we will develop an
-prove that mode transitions are satisfied. Barrier certificates ensure that 
-continuous modes on either side of a transition behave appropriately. Control 
-barrier functions provide a method to certify safety by establishing 
-differential inequality conditions that guarantee forward invariance of safe 
-sets. For example, a barrier certificate can guarantee that a transitory mode 
-transferring control to a stabilizing mode will always move away from the 
-transition boundary, rather than destabilizing the target stabilizing mode.
-
-Combining these three techniques will enable us to prove that continuous
-components of our hybrid controller satisfy discrete requirements, and thus,
-complete system behavior. To demonstrate this methodology, we will develop an
 autonomous startup controller for a Small Modular Advanced High Temperature
-Reactor (SmAHTR). SmAHTR represents an ideal test case as a liquid-salt cooled
+Reactor (SmAHTR). We have already developed a high-fidelity SmAHTR model in
-reactor design with well-documented startup procedures that must transition
+Simulink that captures the thermal-hydraulic and neutron kinetics behavior
-through multiple distinct operational modes: initial cold conditions, controlled
+essential for verifying continuous controller performance under realistic plant
-heating to operating temperature, approach to criticality, low-power physics
+dynamics. The synthesized hybrid controller will be implemented on an Emerson
-testing, and power ascension to full operating capacity. We have already
+Ovation control system platform, which is representative of industry-standard
-developed a high-fidelity SmAHTR model in Simulink that captures the
+control hardware deployed in modern nuclear facilities. The Advanced Reactor
-thermal-hydraulic and neutron kinetics behavior essential for verifying
+Cyber Analysis and Development Environment (ARCADE) suite will serve as the
-continuous controller performance under realistic plant dynamics. The
+integration layer, managing real-time communication between the Simulink
-synthesized hybrid controller will be implemented on an Emerson Ovation control
+simulation and the Ovation controller. This hardware-in-the-loop configuration
-system platform, which is representative of industry-standard control hardware
+enables validation of the controller implementation on actual industrial control
-deployed in modern nuclear facilities. The Advanced Reactor Cyber Analysis and
+equipment interfacing with a realistic reactor simulation, providing assessment
-Development Environment (ARCADE) suite will serve as the integration layer,
+of computational performance, real-time execution constraints, and communication
-managing real-time communication between the Simulink simulation and the Ovation
+latency effects. By demonstrating autonomous startup control on this
-controller. This hardware-in-the-loop configuration enables validation of the
+representative platform, we will establish both the theoretical validity and
-controller implementation on actual industrial control equipment interfacing
+practical feasibility of the synthesis methodology for deployment in actual
-with a realistic reactor simulation, providing assessment of computational
+small modular reactor systems.
-performance, real-time execution constraints, and communication latency effects.
-By demonstrating autonomous startup control on this representative platform, we
-will establish both the theoretical validity and practical feasibility of the
-synthesis methodology for deployment in actual small modular reactor systems.
 
 This unified approach addresses a fundamental gap in hybrid system design by
 bridging formal methods and control theory through a systematic, tool-supported

Writing/ERLM/9-supplemental-sections/v1.tex

@@ -1,10 +1,10 @@
 \section{Supplemental Sections}
 \subsection{Biosketch}
 
-\includepdf[pages=-]{supplemental-sections/cv-1786798.pdf}
+\includepdf[pages=-]{9-supplemental-sections/cv-1786798.pdf}
 
 \subsection{Data Management Plan}
-\includepdf[pages=-]{supplemental-sections/High_Assurance_Autonomous_Control_Systems.pdf}
+\includepdf[pages=-]{9-supplemental-sections/High_Assurance_Autonomous_Control_Systems.pdf}
 
 \subsection{Facilities}
 

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Writing/ERLM/main.bbl

@@ -41,4 +41,43 @@ M.~Zhang, L.~Dai, W.~Chen, and E.~Pang, ``Analysis of human errors in nuclear po
 J.~Kiniry, A.~Bakst, S.~Hansen, M.~Podhradsky, and A.~Bivin, ``High assurance rigorous digital engineering for nuclear safety (hardens) final technical report,'' Tech. Rep. TLR-RES-RES/DE-2024-005, Galois, Inc. / U.S. Nuclear Regulatory Commission, 2024.
 \newblock NRC Contract 31310021C0014.
 
+\bibitem{katis_capture_2022}
+A.~Katis, A.~Mavridou, D.~Giannakopoulou, T.~Pressburger, and J.~Schumann, ``Capture, analyze, diagnose: Realizability checking of requirements in {FRET},'' in {\em Computer Aided Verification} (S.~Shoham and Y.~Vizel, eds.), pp.~490--504, Springer International Publishing.
+
+\bibitem{baier_principles_2008}
+C.~Baier and J.-P. Katoen, {\em Principles of Model Checking}.
+\newblock {MIT} Press.
+
+\bibitem{meyer_strix_2018}
+P.~J. Meyer, S.~Sickert, and M.~Luttenberger, ``Strix: Explicit reactive synthesis strikes back!,'' in {\em Computer Aided Verification} (H.~Chockler and G.~Weissenbacher, eds.), pp.~578--586, Springer International Publishing.
+
+\bibitem{jacobs_reactive_2024}
+S.~Jacobs {\em et~al.}, ``The reactive synthesis competition ({SYNTCOMP}): 2018-2021.''
+
+\bibitem{branicky_multiple_1998}
+M.~Branicky, ``Multiple lyapunov functions and other analysis tools for switched and hybrid systems,'' vol.~43, no.~4, pp.~475--482.
+
+\bibitem{bansal_hamilton-jacobi_2017}
+S.~Bansal, M.~Chen, S.~Herbert, and C.~J. Tomlin, ``Hamilton-jacobi reachability: A brief overview and recent advances,'' in {\em 2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})}, pp.~2242--2253.
+
+\bibitem{guernic_reachability_2009}
+C.~L. Guernic, ``Reachability analysis of hybrid systems with linear continuous dynamics.''
+
+\bibitem{frehse_spaceex_2011}
+G.~Frehse, C.~Le~Guernic, A.~Donzé, S.~Cotton, R.~Ray, O.~Lebeltel, R.~Ripado, A.~Girard, T.~Dang, and O.~Maler, ``{SpaceEx}: Scalable verification of hybrid systems,'' in {\em Computer Aided Verification} (G.~Gopalakrishnan and S.~Qadeer, eds.), pp.~379--395, Springer.
+
+\bibitem{mitchell_time-dependent_2005}
+I.~Mitchell, A.~Bayen, and C.~Tomlin, ``A time-dependent hamilton-jacobi formulation of reachable sets for continuous dynamic games,'' vol.~50, no.~7, pp.~947--957.
+
+\bibitem{prajna_safety_2004}
+S.~Prajna and A.~Jadbabaie, ``Safety verification of hybrid systems using barrier certificates,'' in {\em Hybrid Systems: Computation and Control} (R.~Alur and G.~J. Pappas, eds.), pp.~477--492, Springer.
+
+\bibitem{eia_lcoe_2022}
+{U.S. Energy Information Administration}, ``Levelized costs of new generation resources in the annual energy outlook 2022,'' report, U.S. Energy Information Administration, March 2022.
+\newblock See Table 1b, page 9.
+
+\bibitem{eesi_datacenter_2024}
+{Environmental and Energy Study Institute}, ``Data center energy needs are upending power grids and threatening the climate.'' Web article, 2024.
+\newblock Accessed: 2025-09-29.
+
 \end{thebibliography}

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Writing/ERLM/main.tex

@@ -10,19 +10,19 @@
 \begin{document}
 
 \maketitle
-\input{goals-and-outcomes/v6}
+\input{1-goals-and-outcomes/v7}
-\input{state-of-the-art/v6}
+\input{2-state-of-the-art/v6}
-\input{research-approach/v3}
+\input{3-research-approach/v4}
-\input{metrics-of-success/v1}
+\input{4-metrics-of-success/v2}
-\input{risks-and-contingencies/v1}
+\input{5-risks-and-contingencies/v1}
-\input{broader-impacts/v1}
+\input{6-broader-impacts/v1}
 \newpage
 \bibliographystyle{ieeetr}
 \bibliography{references}
 \newpage
-\input{budget/v1}
+\input{7-budget/v1}
-\input{schedule/v1}
+\input{8-schedule/v1}
-\input{supplemental-sections/v1}
+\input{9-supplemental-sections/v1}
 
 
 % White Paper

Writing/ERLM/references.bib

@@ -122,3 +122,190 @@ Publisher: Idaho National Engineering and Environmental Laboratory},
   number      = {TLR-RES-RES/DE-2024-005},
   note        = {NRC Contract 31310021C0014}
 }
+
+@techreport{eia_lcoe_2022,
+  author       = {{U.S. Energy Information Administration}},
+  title        = {Levelized Costs of New Generation Resources in the Annual Energy Outlook 2022},
+  institution  = {U.S. Energy Information Administration},
+  year         = {2022},
+  month        = {March},
+  type         = {Report},
+  url          = {https://www.eia.gov/outlooks/aeo/pdf/electricity_generation.pdf},
+  note         = {See Table 1b, page 9}
+}
+
+@misc{eesi_datacenter_2024,
+  author       = {{Environmental and Energy Study Institute}},
+  title        = {Data Center Energy Needs Are Upending Power Grids and Threatening the Climate},
+  howpublished = {Web article},
+  year         = {2024},
+  url          = {https://www.eesi.org/articles/view/data-center-energy-needs-are-upending-power-grids-and-threatening-the-climate},
+  note         = {Accessed: 2025-09-29}
+}
+
+@book{baier_principles_2008,
+	location = {Cambridge, {MA}, {USA}},
+	title = {Principles of Model Checking},
+	isbn = {978-0-262-02649-9},
+	abstract = {A comprehensive introduction to the foundations of model checking, a fully automated technique for finding flaws in hardware and software; with extensive examples and both practical and theoretical exercises.},
+	pagetotal = {984},
+	publisher = {{MIT} Press},
+	author = {Baier, Christel and Katoen, Joost-Pieter},
+	date = {2008-04-25},
+	langid = {english},
+}
+
+@inproceedings{katis_capture_2022,
+	location = {Cham},
+	title = {Capture, Analyze, Diagnose: Realizability Checking Of Requirements in {FRET}},
+	isbn = {978-3-031-13188-2},
+	doi = {10.1007/978-3-031-13188-2_24},
+	shorttitle = {Capture, Analyze, Diagnose},
+	pages = {490--504},
+	booktitle = {Computer Aided Verification},
+	publisher = {Springer International Publishing},
+	author = {Katis, Andreas and Mavridou, Anastasia and Giannakopoulou, Dimitra and Pressburger, Thomas and Schumann, Johann},
+	editor = {Shoham, Sharon and Vizel, Yakir},
+	date = {2022},
+	langid = {english},
+	file = {Full Text PDF:/home/danesabo/Zotero/storage/3JPVH8U2/Katis et al. - 2022 - Capture, Analyze, Diagnose Realizability Checking Of Requirements in FRET.pdf:application/pdf},
+}
+
+@inproceedings{meyer_strix_2018,
+	location = {Cham},
+	title = {Strix: Explicit Reactive Synthesis Strikes Back!},
+	isbn = {978-3-319-96145-3},
+	doi = {10.1007/978-3-319-96145-3_31},
+	shorttitle = {Strix},
+	pages = {578--586},
+	booktitle = {Computer Aided Verification},
+	publisher = {Springer International Publishing},
+	author = {Meyer, Philipp J. and Sickert, Salomon and Luttenberger, Michael},
+	editor = {Chockler, Hana and Weissenbacher, Georg},
+	date = {2018},
+	langid = {english},
+}
+
+@misc{jacobs_reactive_2024,
+	title = {The Reactive Synthesis Competition ({SYNTCOMP}): 2018-2021},
+	url = {http://arxiv.org/abs/2206.00251},
+	doi = {10.48550/arXiv.2206.00251},
+	shorttitle = {The Reactive Synthesis Competition ({SYNTCOMP})},
+	number = {{arXiv}:2206.00251},
+	publisher = {{arXiv}},
+	author = {Jacobs, Swen and others},
+	urldate = {2025-12-06},
+	date = {2024-05-06},
+	eprinttype = {arxiv},
+	eprint = {2206.00251 [cs]},
+	keywords = {Computer Science - Logic in Computer Science},
+	file = {Preprint PDF:/home/danesabo/Zotero/storage/GU6W5UH4/Jacobs et al. - 2024 - The Reactive Synthesis Competition (SYNTCOMP) 2018-2021.pdf:application/pdf;Snapshot:/home/danesabo/Zotero/storage/57UPK6A5/2206.html:text/html},
+}
+
+@article{branicky_multiple_1998,
+	title = {Multiple Lyapunov functions and other analysis tools for switched and hybrid systems},
+	volume = {43},
+	issn = {1558-2523},
+	url = {https://ieeexplore.ieee.org/document/664150},
+	doi = {10.1109/9.664150},
+	pages = {475--482},
+	number = {4},
+	journaltitle = {{IEEE} Transactions on Automatic Control},
+	author = {Branicky, M.S.},
+	urldate = {2025-09-10},
+	date = {1998-04},
+	keywords = {Automata, Control systems, Difference equations, Differential equations, Lagrangian functions, Limit-cycles, Lyapunov method, Stability analysis, Switched systems, Switches},
+	file = {PDF:/home/danesabo/Zotero/storage/5AQWDPAA/Branicky - 1998 - Multiple Lyapunov functions and other analysis tools for switched and hybrid systems.pdf:application/pdf},
+}
+
+@thesis{guernic_reachability_2009,
+	title = {Reachability Analysis of Hybrid Systems with Linear Continuous Dynamics},
+	url = {https://theses.hal.science/tel-00422569},
+	institution = {Université Joseph-Fourier - Grenoble I},
+	type = {phdthesis},
+	author = {Guernic, Colas Le},
+	urldate = {2025-09-14},
+	date = {2009-10-28},
+	langid = {english},
+	file = {Full Text PDF:/home/danesabo/Zotero/storage/A5XNTDZ9/Guernic - 2009 - Reachability Analysis of Hybrid Systems with Linear Continuous Dynamics.pdf:application/pdf},
+}
+
+@inproceedings{alur_hybrid_1993,
+	location = {Berlin, Heidelberg},
+	title = {Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems},
+	isbn = {978-3-540-48060-0},
+	doi = {10.1007/3-540-57318-6_30},
+	shorttitle = {Hybrid automata},
+	pages = {209--229},
+	booktitle = {Hybrid Systems},
+	publisher = {Springer},
+	author = {Alur, Rajeev and Courcoubetis, Costas and Henzinger, Thomas A. and Ho, Pei -Hsin},
+	editor = {Grossman, Robert L. and Nerode, Anil and Ravn, Anders P. and Rischel, Hans},
+	date = {1993},
+	langid = {english},
+	keywords = {Acceptance Condition, Hybrid Automaton, Hybrid System, Mutual Exclusion, Reachability Problem},
+	file = {Full Text PDF:/home/danesabo/Zotero/storage/WBXYUC86/Alur et al. - 1993 - Hybrid automata An algorithmic approach to the specification and verification of hybrid systems.pdf:application/pdf},
+}
+
+@article{mitchell_time-dependent_2005,
+	title = {A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games},
+	volume = {50},
+	issn = {1558-2523},
+	url = {https://ieeexplore.ieee.org/abstract/document/1463302},
+	doi = {10.1109/TAC.2005.851439},
+	pages = {947--957},
+	number = {7},
+	journaltitle = {{IEEE} Transactions on Automatic Control},
+	author = {Mitchell, I.M. and Bayen, A.M. and Tomlin, C.J.},
+	urldate = {2025-09-15},
+	date = {2005-07},
+	keywords = {Aircraft, Collaborative software, Collision avoidance, Computational modeling, Differential games, Hamilton–Jacobi equations, Nonlinear equations, Nonlinear systems, Partial differential equations, reachability, Trajectory, Vehicle dynamics, verification, Viscosity},
+	file = {Snapshot:/home/danesabo/Zotero/storage/SLKV9PEI/1463302.html:text/html;Submitted Version:/home/danesabo/Zotero/storage/9YWL2UDH/Mitchell et al. - 2005 - A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games.pdf:application/pdf},
+}
+
+@inproceedings{frehse_spaceex_2011,
+	location = {Berlin, Heidelberg},
+	title = {{SpaceEx}: Scalable Verification of Hybrid Systems},
+	isbn = {978-3-642-22110-1},
+	doi = {10.1007/978-3-642-22110-1_30},
+	shorttitle = {{SpaceEx}},
+	pages = {379--395},
+	booktitle = {Computer Aided Verification},
+	publisher = {Springer},
+	author = {Frehse, Goran and Le Guernic, Colas and Donzé, Alexandre and Cotton, Scott and Ray, Rajarshi and Lebeltel, Olivier and Ripado, Rodolfo and Girard, Antoine and Dang, Thao and Maler, Oded},
+	editor = {Gopalakrishnan, Ganesh and Qadeer, Shaz},
+	date = {2011},
+	langid = {english},
+	keywords = {Hybrid Automaton, Hybrid System, Reachability Analysis, Reachable State, Support Function},
+	file = {Full Text PDF:/home/danesabo/Zotero/storage/LPQK8GY2/Frehse et al. - 2011 - SpaceEx Scalable Verification of Hybrid Systems.pdf:application/pdf},
+}
+
+@inproceedings{bansal_hamilton-jacobi_2017,
+	title = {Hamilton-Jacobi reachability: A brief overview and recent advances},
+	url = {https://ieeexplore.ieee.org/abstract/document/8263977},
+	doi = {10.1109/CDC.2017.8263977},
+	shorttitle = {Hamilton-Jacobi reachability},
+	eventtitle = {2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})},
+	pages = {2242--2253},
+	booktitle = {2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})},
+	author = {Bansal, Somil and Chen, Mo and Herbert, Sylvia and Tomlin, Claire J.},
+	urldate = {2025-09-15},
+	date = {2017-12},
+	keywords = {Aircraft, Games, Level set, Safety, Tools, Trajectory, Tutorials},
+	file = {Snapshot:/home/danesabo/Zotero/storage/EEK5IE93/8263977.html:text/html;Submitted Version:/home/danesabo/Zotero/storage/BMNLZ9DW/Bansal et al. - 2017 - Hamilton-Jacobi reachability A brief overview and recent advances.pdf:application/pdf},
+}
+
+@inproceedings{prajna_safety_2004,
+	location = {Berlin, Heidelberg},
+	title = {Safety Verification of Hybrid Systems Using Barrier Certificates},
+	isbn = {978-3-540-24743-2},
+	doi = {10.1007/978-3-540-24743-2_32},
+	pages = {477--492},
+	booktitle = {Hybrid Systems: Computation and Control},
+	publisher = {Springer},
+	author = {Prajna, Stephen and Jadbabaie, Ali},
+	editor = {Alur, Rajeev and Pappas, George J.},
+	date = {2004},
+	langid = {english},
+	keywords = {Continuous State, Discrete Transition, Hybrid System, Integral Constraint, Reachability Analysis},
+}