From b8ef71e55e84d49f1e13990658ae57744aa81652 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Mon, 20 Oct 2025 15:59:58 -0400 Subject: [PATCH] Auto sync: 2025-10-20 15:59:58 (12 files changed) M Writing/ERLM/main.aux M Writing/ERLM/main.bbl M Writing/ERLM/main.blg M Writing/ERLM/main.fdb_latexmk M Writing/ERLM/main.fls M Writing/ERLM/main.log M Writing/ERLM/main.pdf M Writing/ERLM/main.synctex.gz --- Writing/ERLM/main.aux | 97 +-- Writing/ERLM/main.bbl | 66 +- Writing/ERLM/main.blg | 60 +- Writing/ERLM/main.fdb_latexmk | 27 +- Writing/ERLM/main.fls | 114 +-- Writing/ERLM/main.log | 58 +- Writing/ERLM/main.pdf | Bin 159455 -> 109205 bytes Writing/ERLM/main.synctex.gz | Bin 191719 -> 100004 bytes Writing/ERLM/main.tex | 19 +- Writing/ERLM/state-of-the-art/v5.tex | 33 - Writing/ERLM/whitepaper/v1.tex | 1086 ++++++++++++++++++++++++++ Writing/WHITEPAPER.zip | Bin 0 -> 1559681 bytes 12 files changed, 1233 insertions(+), 327 deletions(-) create mode 100644 Writing/ERLM/whitepaper/v1.tex 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power reactors. -\newblock \url{https://www.world-nuclear.org/information-library/safety-and-security/safety-of-plants/safety-of-nuclear-power-reactors.aspx}, 2020. - -\bibitem{Wang2025} -Y.~Wang et~al. -\newblock Analysis of human error in nuclear power plant operations: A systematic review of events from 2007--2020. -\newblock {\em Journal of Nuclear Safety}, 2025. -\newblock Analysis of 190 events at Chinese nuclear power plants. - \bibitem{10CFR55} {U.S. Nuclear Regulatory Commission}. \newblock Operators' licenses. @@ -32,39 +16,15 @@ John~G. Kemeny et~al. \newblock Guidelines for the preparation of emergency operating procedures. \newblock Technical Report NUREG-0899, U.S. Nuclear Regulatory Commission, 1982. -\bibitem{IAEA-TECDOC-1580} -{International Atomic Energy Agency}. -\newblock Good practices for cost effective maintenance of nuclear power plants. -\newblock Technical Report TECDOC-1580, International Atomic Energy Agency, 2007. +\bibitem{DOE-HDBK-1028-2009} +{U.S. Department of Energy}. +\newblock Human performance handbook. +\newblock Handbook DOE-HDBK-1028-2009, U.S. Department of Energy, 2009. -\bibitem{Zerovnik2023} -Gašper \v{Z}erovnik et~al. -\newblock Knowledge transfer challenges in nuclear operations. -\newblock {\em Nuclear Engineering and Design}, 2023. -\newblock Analysis of knowledge transfer from experienced operators. - -\bibitem{Jo2021} -Y.~Jo et~al. -\newblock Automation paradox in nuclear power plant control: Effects on operator situation awareness. -\newblock {\em Nuclear Engineering and Technology}, 2021. -\newblock Empirical study of automation effects on operator performance. - -\bibitem{IAEA2008} -{International Atomic Energy Agency}. -\newblock Modern instrumentation and control for nuclear power plants: A guidebook. -\newblock Technical Report Technical Reports Series No. 387, International Atomic Energy Agency, 2008. - -\bibitem{Lee2019} -D.~Lee et~al. -\newblock Autonomous control of nuclear reactors using long short-term memory networks. -\newblock {\em Nuclear Engineering and Technology}, 2019. -\newblock Demonstration of LSTM-based autonomous control in LOC and SGTR scenarios. - -\bibitem{IEEE2019} -{IEEE Working Group}. -\newblock Formal verification challenges for nuclear i\&c systems. -\newblock In {\em IEEE Conference on Nuclear Power Instrumentation, Control and Human-Machine Interface Technologies}, 2019. -\newblock Discussion of state space explosion in formal verification. +\bibitem{WNA2020} +{World Nuclear Association}. +\newblock Safety of nuclear power reactors. +\newblock \url{https://www.world-nuclear.org/information-library/safety-and-security/safety-of-plants/safety-of-nuclear-power-reactors.aspx}, 2020. \bibitem{IAEA-severe-accidents} {International Atomic Energy Agency}. @@ -72,11 +32,11 @@ D.~Lee et~al. \newblock IAEA Safety Report. \newblock Analysis of TMI, Chernobyl, and Fukushima accidents. -\bibitem{Dumas1999} -Lloyd Dumas. -\newblock Worker error and safety in nuclear facilities. -\newblock {\em Journal of Nuclear Safety}, 1999. -\newblock Study of incidents at 10 nuclear centers. +\bibitem{Wang2025} +Y.~Wang et~al. +\newblock Analysis of human error in nuclear power plant operations: A systematic review of events from 2007--2020. +\newblock {\em Journal of Nuclear Safety}, 2025. +\newblock Analysis of 190 events at Chinese nuclear power plants. \bibitem{NUREG-CR-6883} D.~Gertman et~al. diff --git a/Writing/ERLM/main.blg b/Writing/ERLM/main.blg index 2e23c9a43..f80765c0b 100644 --- a/Writing/ERLM/main.blg +++ 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zfB?AdZMq4#_jb>sR;q@!HYC%$7KoSS4U8-zU=KGi4q6FcvH@~IK7XYbYE=mxUrsSv0a%hRx1lho(2tbj3oE?T-R};W}7zxU|lD^#j3iDF81AR(W_#M zeRo{-tRsv4|Dti7qig-^#kW1)^^5c>w%fBo?0VR4FR%Xj+q*CCKE8eRr@#N@udjZ1_2Koqk3YQr z`t;)48eaVE)8{X*Km7E|o5vS_{PgwX7dCKnd-1J|dWgRH{PS<`e*N>>>>>> 568549999a24c6a86f19411cbdf12b642057ade9 The current division between automated and human-controlled functions reveals the fundamental challenge of hybrid control. Highly @@ -94,34 +90,6 @@ decades of improvements in training and procedures, provides perhaps the most compelling motivation for formal automated control with mathematical safety guarantees. -<<<<<<< HEAD -%Whos in the control room - -%how are reactor operators trained - -% Humans are actually really bad at doing control - -%most accidents are human error - -%Three mile island - -%Human factors probabilities - -\subsection{HARDENS and Formal Methods} -% The NRC recognizes that automation and high assurance are important things to -% pursue - -%They put out a grant to do rigorous digital engineering - -%Won by formal methods group galois. Galois does a bunch of formal methods work. -%What is formal methods? - -%Rigorous digital engineering to create a reactor trip system - -%details of how it worked, and limitations therein - -%Digital system ONLY -======= Multiple independent analyses converge on a striking statistic: \textbf{70--80\% of all nuclear power plant events are attributed to human error} versus approximately 20\% to equipment failures~\cite{DOE-HDBK-1028-2009,WNA2020}. More @@ -387,4 +355,3 @@ demonstrated by HARDENS, urgent safety imperatives documented by persistent human error statistics, and fundamental gaps in current hybrid dynamics treatment creates a compelling and timely research opportunity. ->>>>>>> 568549999a24c6a86f19411cbdf12b642057ade9 diff --git a/Writing/ERLM/whitepaper/v1.tex b/Writing/ERLM/whitepaper/v1.tex new file mode 100644 index 000000000..3ff544203 --- /dev/null +++ b/Writing/ERLM/whitepaper/v1.tex @@ -0,0 +1,1086 @@ +\newpage + +% PROJECT SUMMARY +\section*{Project Summary} + +\subsection*{Overview} + +This research will develop a methodology for creating autonomous hybrid control +systems with mathematical guarantees of safe and correct behavior. Nuclear power +plants require the highest levels of control system reliability, where failures +can result in significant economic losses or radiological release. Currently, +nuclear operations rely on extensively trained human operators who follow +detailed written procedures to manage reactor control. However, reliance on +human operators prevents introduction of autonomous control capabilities and +creates fundamental economic challenges for next-generation reactor designs. +Without introducing automation, emerging technologies like small modular +reactors face significantly higher per-megawatt staffing costs than conventional +plants, threatening their economic viability. + +To address this need, we will combine formal methods from computer science +with control theory to build hybrid control systems that are correct by +construction. Hybrid systems use discrete logic to switch between continuous +control modes, similar to how operators change control strategies. Existing +formal methods can generate provably correct switching logic from written +requirements, but they cannot handle the continuous dynamics that occur during +transitions between modes. Meanwhile, traditional control theory can verify +continuous behavior but lacks tools for proving correctness of discrete +switching decisions. By synthesizing discrete mode transitions directly from +written operating procedures and verifying continuous behavior between +transitions, we can create hybrid control systems with end-to-end correctness +guarantees. + +\subsection*{Intellectual Merit} + +The intellectual merit lies in unifying discrete synthesis and continuous +verification to enable end-to-end correctness guarantees for hybrid systems. +This research will advance knowledge by developing a systematic, +tool-supported methodology for translating written procedures into temporal +logic, synthesizing provably correct discrete switching logic, and developing +verified continuous controllers. The approach addresses a fundamental gap in +hybrid system design by bridging formal methods from computer science and +control theory. + +\subsection*{Broader Impacts} + +This research directly addresses the multi-billion dollar operations and +maintenance cost challenge facing nuclear power deployment. By synthesizing +provably correct hybrid controllers, we can automate routine operational +sequences that currently require constant human oversight, enabling a shift +from direct operator control to supervisory monitoring. Beyond nuclear +applications, this research will establish a generalizable framework for +autonomous control of safety-critical systems including chemical process +control, aerospace systems, and autonomous transportation. + +\newpage + +% RESEARCH DESCRIPTION +\section*{Research Description} + +\section{Objectives} +% GOAL PARAGRAPH +The goal of this research is to develop a methodology for creating autonomous +control systems with event-driven control laws that have guarantees of safe and +correct behavior. + +% INTRODUCTORY PARAGRAPH Hook +Nuclear power relies on extensively trained operators who follow detailed +written procedures to manage reactor control. Based on these procedures and +operators' interpretation of plant conditions, operators make critical decisions +about when to switch between control objectives. +% Gap +While human operators have maintained the nuclear industry's exceptional safety +record, reliance on human operators has created an economic challenge for +next-generation nuclear power plants. Small modular reactors face significantly +higher per-megawatt staffing costs than conventional plants, threatening their +economic viability. Autonomous control systems are needed that can safely manage +complex operational sequences with the same assurance as human-operated systems, +but without constant supervision. + +% APPROACH PARAGRAPH Solution +To address this need, we will combine formal methods from computer science with +control theory to build hybrid control systems that are correct by construction. +% Rationale +Hybrid systems use discrete logic to switch between continuous control modes, +similar to how operators change control strategies. Existing formal methods +generate provably correct switching logic but cannot handle continuous dynamics +during transitions, while traditional control theory verifies continuous +behavior but lacks tools for proving discrete switching correctness. +% Hypothesis and Technical Approach +We will bridge this gap through a three-stage methodology. First, we will +translate written operating procedures into temporal logic specifications using +NASA's Formal Requirements Elicitation Tool (FRET), which structures +requirements into scope, condition, component, timing, and response elements. +This structured approach enables realizability checking to identify conflicts +and ambiguities in procedures before implementation. Second, we will synthesize +discrete mode switching logic from these specifications using reactive synthesis +tools such as Strix, which generates deterministic automata that are provably +correct by construction. Third, we will develop and verify continuous +controllers for each discrete mode using standard control theory and +reachability analysis. We will classify continuous modes based on their +transition objectives, and then employ assume-guarantee contracts and barrier +certificates to prove that mod\documentclass[11pt]{article} + +% Page setup +\usepackage[margin=1in]{geometry} +\usepackage{setspace} +\setstretch{1.0} + +% Packages +\usepackage{amsmath} +\usepackage{cite} + +% Document begins +\begin{document} + +% COVER SHEET +\begin{center} +{\Large \textbf{From Cold Start to Critical: Formal Synthesis of Hybrid \\ +Controllers for Nuclear Reactor Startup}} + +\vspace{0.5in} + +\textbf{White Paper} + +\vspace{0.25in} + +\textbf{NSF Program:} Cyber-Physical Systems (CPS) + +\vspace{0.25in} + +\textbf{Principal Investigator:} Dane A. Sabo\\ +Email: dane.sabo@pitt.edu + +\vspace{0.25in} + +\textbf{Faculty Advisor:} Dr. Daniel G. Cole\\ +Email: dgcole@pitt.edu + +\vspace{0.25in} + +University of Pittsburgh\\ +Department of Mechanical Engineering and Materials Science\\ +Swanson School of Engineering + +\end{center} + +\newpage + +% PROJECT SUMMARY +\section*{Project Summary} + +\subsection*{Overview} + +This research will develop a methodology for creating autonomous hybrid +control systems with mathematical guarantees of safe and correct behavior. +Nuclear power plants require the highest levels of control system reliability, +where failures can result in significant economic losses or radiological +release. Currently, nuclear operations rely on extensively trained human +operators who follow detailed written procedures to manage reactor control. +However, reliance on human operators prevents introduction of autonomous +control capabilities and creates fundamental economic challenges for +next-generation reactor designs. Emerging technologies like small modular +reactors face significantly higher per-megawatt staffing costs than +conventional plants, threatening their economic viability. + +To address this need, we will combine formal methods from computer science +with control theory to build hybrid control systems that are correct by +construction. Hybrid systems use discrete logic to switch between continuous +control modes, similar to how operators change control strategies. Existing +formal methods can generate provably correct switching logic from written +requirements, but they cannot handle the continuous dynamics that occur during +transitions between modes. Meanwhile, traditional control theory can verify +continuous behavior but lacks tools for proving correctness of discrete +switching decisions. By synthesizing discrete mode transitions directly from +written operating procedures and verifying continuous behavior between +transitions, we can create hybrid control systems with end-to-end correctness +guarantees. + +\subsection*{Intellectual Merit} + +The intellectual merit lies in unifying discrete synthesis and continuous +verification to enable end-to-end correctness guarantees for hybrid systems. +This research will advance knowledge by developing a systematic, +tool-supported methodology for translating written procedures into temporal +logic, synthesizing provably correct discrete switching logic, and developing +verified continuous controllers. The approach addresses a fundamental gap in +hybrid system design by bridging formal methods from computer science and +control theory. + +\subsection*{Broader Impacts} + +This research directly addresses the multi-billion dollar operations and +maintenance cost challenge facing nuclear power deployment. By synthesizing +provably correct hybrid controllers, we can automate routine operational +sequences that currently require constant human oversight, enabling a shift +from direct operator control to supervisory monitoring. Beyond nuclear +applications, this research will establish a generalizable framework for +autonomous control of safety-critical systems including chemical process +control, aerospace systems, and autonomous transportation. + +\newpage + +% RESEARCH DESCRIPTION +\section*{Research Description} + +\section{Objectives} + +The goal of this research is to develop a methodology for creating autonomous +hybrid control systems with mathematical guarantees of safe and correct +behavior for nuclear reactor operations. Nuclear reactors are quintessential +hybrid cyber-physical systems where continuous neutron kinetics and +thermal-hydraulics interact with discrete control mode decisions and trip +logic. Hybrid systems combine continuous dynamics with discrete mode +transitions, formally expressed as $\dot{x}(t) = f(x(t),q(t),u(t))$ for +continuous states and $q(k+1) = \nu(x(k),q(k),u(k))$ for discrete +transitions. + +If this research is successful, we will be able to do the following: + +\begin{enumerate} + \item \textit{Synthesize written procedures into verified control logic.} + We will develop a methodology for converting written operating procedures + into formal specifications. These specifications will be synthesized into + discrete control logic using reactive synthesis tools. This process uses + structured intermediate representations to bridge natural language and + mathematical logic. Control engineers will be able to generate + mode-switching controllers from regulatory procedures with little formal + methods expertise, reducing barriers to high-assurance control systems. + + \item \textit{Verify continuous control behavior across mode transitions.} + We will develop methods using reachability analysis to ensure continuous + control modes satisfy discrete transition requirements. Engineers will be + able to design continuous controllers using standard practices while + ensuring system correctness and proving mode transitions occur safely at + the right times. + + \item \textit{Demonstrate autonomous reactor startup control with safety + guarantees.} We will implement this methodology on a small modular + reactor simulation using industry-standard control hardware. This trial + will include multiple coordinated control modes from cold shutdown through + criticality to power operation on a SmAHTR reactor simulation in a + hardware-in-the-loop experiment. Control engineers will be able to + implement high-assurance autonomous controls on industrial platforms they + already use, enabling users to achieve autonomy without retraining costs + or developing new equipment. +\end{enumerate} + +\section{Limits of Current Practice} + +Nuclear reactor control reveals fundamental verification gaps that motivate +formal hybrid control synthesis. These gaps span current operational +practices, human reliability, and even the most advanced formal methods +attempts to date. + +Current generation nuclear power plants employ over 3,600 active NRC-licensed +reactor operators who hold legal authority to make critical decisions +including departing from regulations during emergencies. This authority is +both necessary and problematic. The Three Mile Island accident demonstrated +how personnel error led to partial meltdown when operators misread confusing +readings and shut off emergency systems. The President's Commission identified +a fundamental ambiguity: operators hold full responsibility without formal +verification they can fulfill this under all conditions. + +Nuclear plant procedures exist in a hierarchy from normal operating procedures +through Emergency Operating Procedures to Severe Accident Management +Guidelines. Despite rigorous development processes including technical +evaluation and simulator validation testing, these procedures fundamentally +lack formal verification. No mathematical proof exists that procedures cover +all possible plant states or that required actions can be completed within +available timeframes. This gap between procedural rigor and mathematical +certainty creates the first major limitation of current practice. + +The division between automated and human-controlled functions reveals the +fundamental hybrid control challenge. Highly automated systems handle reactor +protection and emergency core cooling, while human operators retain strategic +decision-making. Current practice treats continuous plant dynamics and +discrete control logic as separate concerns without formal integration. No +application of hybrid control theory exists that could provide mathematical +guarantees across mode transitions. + +Human factors compound these verification gaps. Multiple independent analyses +show that 70--80\% of all nuclear power plant events are attributed to human +error rather than equipment failures. More significantly, the IAEA concluded +that human error was the root cause of all severe accidents at nuclear power +plants. The persistence of this ratio despite four decades of improvements +suggests fundamental cognitive limitations rather than remediable +deficiencies. + +The Three Mile Island accident provides the definitive case study. When a +pressure-operated relief valve stuck open, instrumentation showed only +commanded position, not actual position. This information gap proved decisive. +When Emergency Core Cooling pumps automatically activated, operators shut them +down based on incorrect assessment. Operators faced over 100 simultaneous +alarms, overwhelming their cognitive capacity. The core suffered 44\% fuel +meltdown before stabilization. + +Human Reliability Analysis methods quantify these limitations. Nominal Human +Error Probabilities stand at 0.01 (1\%) for diagnosis tasks under optimal +conditions. These rates degrade dramatically under accident conditions: +inadequate time increases error probability 10-fold, extreme stress by 5-fold, +high complexity by 5-fold. Under combined adverse conditions, human error +probabilities approach 0.1 to 1.0---essentially guaranteed failure. + +The underlying causes are fundamental and cannot be overcome through training +alone. Response time limitations constrain effectiveness. Visual perception +requires 100-200 milliseconds, decisions 200-400 milliseconds. Reactor +transients evolve in seconds. Protection systems must respond in milliseconds, +100-1000 times faster than humans. Working memory capacity is limited to +7$\pm$2 chunks, explaining why TMI's 100+ alarms exceeded operators' +processing capacity. These are not training failures---they are fundamental +properties of human cognition. + +Recent efforts to apply formal methods to nuclear control show both promise +and remaining gaps. The High Assurance Rigorous Digital Engineering for +Nuclear Safety (HARDENS) project represents the most advanced application to +date. Completed in nine months at a fraction of typical costs, HARDENS +produced a complete Reactor Trip System with full traceability from NRC +requirements through formal specifications to verified binaries. + +The project employed impressive formal methods. FRET handled requirements +elicitation. Cryptol provided executable specifications. SAW performed +verification. Automatic code synthesis generated formally verifiable +implementations. This comprehensive approach demonstrated that formal methods +are technically feasible and economically viable for nuclear protection +systems. + +Despite these accomplishments, HARDENS has a fundamental limitation directly +relevant to our work. The project addressed only discrete digital control +logic without modeling or verifying continuous reactor dynamics. Real reactor +safety depends on interaction between continuous processes---temperature, +pressure, neutron flux---and discrete control decisions. HARDENS verified the +discrete controller in isolation but not the closed-loop hybrid system +behavior. + +Experimental validation presents the second major limitation. HARDENS produced +a demonstrator at Technology Readiness Level 3--4 rather than a +deployment-ready system. The gap between formal verification and actual +deployment involves integration with legacy systems, long-term reliability +under harsh environments, and regulatory acceptance of formal methods as +primary assurance evidence. + +These three converging lines reveal the research imperative. Current practice +lacks formal verification of procedures and mode transitions. Human operators +contribute to 70--80\% of incidents despite continuous improvements, +suggesting fundamental rather than remediable limitations. HARDENS +demonstrated feasibility of formal methods but addressed only discrete logic, +leaving hybrid dynamics unverified. The continuous dynamics of reactor physics +combined with discrete control logic demand hybrid automata or differential +dynamic logic that can verify properties spanning both domains. This gap +defines the research opportunity. + +\section{Research Approach} + +This research will overcome the identified limitations by combining formal +methods from computer science with control theory to build hybrid control +systems that are correct by construction. We accomplish this through three +main thrusts that progress from written procedures to verified implementations. + +Commercial nuclear power operations remain manually controlled despite +significant advances in control systems. The key insight is that procedures +performed by human operators are highly prescriptive and well-documented. +Written procedures in nuclear power are sufficiently detailed that we may +translate them into logical formulae with minimal effort. This translation +forms the foundation of our approach. + +To formalize these procedures, we will use temporal logic, which captures +system behaviors through temporal relations. Linear Temporal Logic 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: ``If a high temperature alarm +triggers, control rods must immediately insert and remain inserted until +operator reset.'' This natural language statement translates into temporal +logic as: $G(HighTemp \rightarrow X(RodsInserted \wedge (\neg RodsWithdrawn\ +U\ OperatorReset)))$. The specification precisely captures the temporal +relationship between alarm, response, and persistence requirement. + +The most efficient path to accomplish this translation is through NASA's +Formal Requirements Elicitation Tool (FRET). FRET employs FRETish, a +specialized requirements language that restricts requirements to easily +understood components while eliminating ambiguity. FRET enforces structure by +requiring all requirements to contain six components: Scope, Condition, +Component, Shall, Timing, and Response. + +FRET provides functionality to check realizability of a system. Realizability +analysis determines whether written requirements are complete by examining the +six structural components. Complete requirements neither conflict with one +another nor leave any behavior undefined. Systems that are not realizable +contain behavioral inconsistencies that represent the physical equivalent of +software bugs. Using FRET during autonomous controller development allows us +to identify and resolve these errors systematically. FRET exports requirements +in temporal logic format compatible with reactive synthesis tools, enabling +the second thrust of our approach. + +Reactive synthesis is an active research field focused on generating discrete +controllers from temporal logic specifications. The term reactive indicates +that the system responds to environmental inputs to produce control outputs. +These synthesized systems are finite in size, where each node represents a +unique discrete state. The connections between nodes, called state +transitions, specify the conditions under which the discrete controller moves +from state to state. This complete mapping constitutes a discrete automaton. + +We will employ state-of-the-art reactive synthesis tools, particularly Strix, +which has demonstrated superior performance in the Reactive Synthesis +Competition through efficient parity game solving algorithms. Strix translates +linear temporal logic specifications into deterministic automata automatically +while maximizing generated automata quality. Once constructed, the automaton +can be straightforwardly implemented using standard programming control flow +constructs. + +The discrete automata representation yields an important theoretical +guarantee. Because the discrete automaton is synthesized entirely through +automated tools from design requirements and operating procedures, we can +prove that the automaton---and therefore our hybrid switching behavior---is +correct by construction. This correctness guarantee is paramount. Mode +switching represents the primary responsibility of human operators in control +rooms today. Human operators possess the advantage of real-time +judgment---when mistakes occur, they can correct them dynamically. Autonomous +control lacks this adaptive advantage. By synthesizing controllers from +logical specifications with guaranteed correctness, we eliminate the +possibility of switching errors. + +While discrete system components will be synthesized with correctness +guarantees, they represent only half of the complete system. The continuous +modes will be developed after discrete automaton construction, leveraging the +automaton structure and transitions to design multiple smaller, specialized +continuous controllers. This progression from discrete to continuous design +addresses a key challenge in hybrid system verification. + +The discrete automaton transitions mark decision points for switching between +continuous control modes and define their strategic objectives. We will +classify three types of high-level continuous controller objectives: +Stabilizing modes maintain the hybrid system within its current discrete mode, +corresponding to steady-state normal operating modes like full-power +load-following control. Transitory modes have the primary goal of +transitioning the hybrid system from one discrete state to another, such as +controlled warm-up procedures. Expulsory modes are specialized transitory +modes with additional safety constraints that ensure the system is directed to +a safe stabilizing mode during failure conditions, such as reactor SCRAM. + +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 +discontinuities complicate verification. This work alleviates these problems +by designing continuous controllers specifically with transitions in mind. By +decomposing continuous modes according to their required behavior at +transition points, we avoid solving trajectories through the entire hybrid +system. + +To ensure continuous modes satisfy their requirements, we will employ three +complementary techniques. Reachability analysis computes the reachable set of +states for a given input set. We will use reachability to define continuous +state ranges at discrete transition boundaries and verify that requirements +are satisfied within continuous modes. Assume-guarantee contracts will be +employed when continuous state boundaries are not explicitly defined. For any +given mode, the input range for reachability 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. +Barrier certificates will prove that mode transitions are satisfied. Control +barrier functions provide a method to certify safety by establishing +differential inequality conditions that guarantee forward invariance of safe +sets. + +Combining these three techniques will enable us to prove that continuous +components 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 with well-documented startup procedures that +must transition through multiple distinct operational modes: initial cold +conditions, controlled heating to operating temperature, approach to +criticality, low-power physics testing, and power ascension to full operating +capacity. + +We have already developed a high-fidelity SmAHTR model in Simulink that +captures the thermal-hydraulic and neutron kinetics behavior. The synthesized +hybrid controller will be implemented on an Emerson Ovation control system +platform, which is representative of industry-standard control hardware. The +Advanced Reactor Cyber Analysis and Development Environment (ARCADE) suite +will serve as the integration layer, managing real-time communication between +the Simulink simulation and the Ovation controller. This hardware-in-the-loop +configuration enables validation of the controller implementation on actual +industrial control equipment. + +\section{Metrics of Success} + +This research will be measured by advancement through Technology Readiness +Levels, progressing from fundamental concepts to validated prototype +demonstration. The work begins at TRL 2--3 and aims to reach TRL 5, where +system components operate successfully in a relevant laboratory environment. + +TRLs provide the ideal success metric because they explicitly measure the gap +between academic proof-of-concept and practical deployment. This gap is +precisely what our work aims to bridge. TRLs capture both theoretical rigor +and practical feasibility simultaneously. The nuclear industry already uses +TRLs for technology assessment, making this metric directly relevant to +potential adopters. + +Moving from current state (TRL 2--3) to target (TRL 5) requires achieving +three intermediate levels. TRL 3 demonstrates that each component works in +isolation. Startup procedures must be translated into temporal logic +specifications that pass realizability analysis. A discrete automaton must be +synthesized with interpretable structure. At least one continuous controller +must be designed with verified transition requirements. This level proves the +fundamental approach on simplified sequences. + +TRL 4 demonstrates a complete integrated hybrid controller in simulation. All +startup procedures must be formalized with continuous controllers existing for +all discrete modes. Verification must be complete for all mode transitions. +The integrated controller must execute complete startup sequences with zero +safety violations. This level proves that formal correctness guarantees can be +maintained throughout system integration. + +TRL 5 demonstrates the verified controller on industrial control hardware +through hardware-in-the-loop testing. The discrete automaton must be +implemented on Emerson Ovation hardware and verified to match synthesized +specifications exactly. The ARCADE interface must establish stable real-time +communication between Ovation hardware and SmAHTR simulation. Complete +autonomous startup sequences must execute across the full operational +envelope. This level proves that the methodology produces verified controllers +implementable with current technology. + +This research succeeds if it achieves TRL 5, establishing both theoretical +validity and practical feasibility. Success provides a clear pathway for +nuclear industry adoption and broader application to safety-critical +autonomous systems. + +\section{Broader Impacts} + +Nuclear power presents both a compelling application domain and an urgent +economic challenge. Recent interest in powering artificial intelligence +infrastructure has renewed focus on small modular reactors for hyperscale +datacenters. According to the U.S. Energy Information Administration, advanced +nuclear power entering service in 2027 is projected to cost \$88.24 per +megawatt-hour. With datacenter electricity demand projected to reach 1,050 +terawatt-hours annually by 2030, operations and maintenance costs represent +approximately 23--30\% of total levelized cost, translating to \$21--28 +billion annually for projected datacenter demand. + +This research directly addresses the multi-billion dollar O\&M cost challenge. +Current nuclear operations require full control room staffing for each +reactor. These staffing requirements drive high O\&M costs, particularly for +smaller reactor designs where the same overhead must be spread across lower +power output. The economic burden threatens the viability of next-generation +nuclear technologies. + +By synthesizing provably correct hybrid controllers, we can automate routine +operational sequences that currently require constant human oversight. This +enables a fundamental shift from direct operator control to supervisory +monitoring where operators oversee multiple autonomous reactors rather than +manually controlling individual units. The transition fundamentally changes +the economics of nuclear operations. + +The correct-by-construction methodology is critical for this transition. +Traditional automation approaches cannot provide sufficient safety guarantees +for nuclear applications where regulatory requirements and public safety +concerns demand the highest levels of assurance. By formally verifying both +discrete mode-switching logic and continuous control behavior, this research +will produce controllers with mathematical proofs of correctness. These +guarantees enable automation to safely handle routine operations that +currently require human operators to follow written procedures. + +Small modular reactors represent an ideal deployment target. Nuclear +Regulatory Commission certification requires extensive documentation of +control procedures, operational requirements, and safety analyses written in +structured natural language. These regulatory documents can be translated into +temporal logic specifications using FRET, synthesized into discrete switching +logic using reactive synthesis tools, and verified using reachability analysis +and barrier certificates. The infrastructure of requirements is already +complete as part of licensing. This creates a direct pathway from existing +regulatory documentation to formally verified autonomous controllers. + +Beyond nuclear applications, this research will establish a generalizable +framework for autonomous control of safety-critical systems. The methodology +of translating operational procedures into formal specifications, synthesizing +discrete switching logic, and verifying continuous mode behavior applies to +any hybrid system with documented operational requirements. Potential +applications include chemical process control, aerospace systems, and +autonomous transportation. These domains share similar economic and safety +considerations that favor increased autonomy with provable correctness +guarantees. By demonstrating this approach in nuclear power---one of the most +regulated and safety-critical domains---this research will establish both +technical feasibility and regulatory pathways for broader adoption across +critical infrastructure. + +\newpage + +% REFERENCES CITED +\section*{References Cited} + +\begin{thebibliography}{99} + +\bibitem{10CFR55} +U.S. Nuclear Regulatory Commission. ``10 CFR Part 55 - Operators' Licenses.'' +\textit{Code of Federal Regulations}, 2024. + +\bibitem{princeton} +Princeton University. ``Nuclear Reactor Operator Training.'' +\textit{Princeton Plasma Physics Laboratory}, 2023. + +\bibitem{Kemeny1979} +J. G. Kemeny et al. ``Report of the President's Commission on the Accident +at Three Mile Island.'' U.S. Government Printing Office, October 1979. + +\bibitem{NUREG-0899} +U.S. Nuclear Regulatory Commission. ``Guidelines for the Preparation of +Emergency Operating Procedures.'' NUREG-0899, August 1982. + +\bibitem{DOE-HDBK-1028-2009} +U.S. Department of Energy. ``Human Performance Improvement Handbook.'' +DOE-HDBK-1028-2009, June 2009. + +\bibitem{WNA2020} +World Nuclear Association. ``Safety of Nuclear Power Reactors.'' +\textit{World Nuclear Association Information Library}, 2020. + +\bibitem{IAEA-severe-accidents} +International Atomic Energy Agency. ``Lessons Learned from Severe Nuclear +Accidents.'' IAEA Technical Report, 2016. + +\bibitem{Wang2025} +Y. Wang et al. ``Human Error Analysis of 190 Events at Chinese Nuclear +Power Plants from 2007-2020.'' \textit{Nuclear Engineering and Design}, +vol. 395, 2025. + +\bibitem{Kiniry2022} +J. Kiniry et al. ``High Assurance Rigorous Digital Engineering for Nuclear +Safety (HARDENS).'' NRC Final Technical Report ML22326A307, September 2022. + +\bibitem{eia_lcoe_2022} +U.S. Energy Information Administration. ``Levelized Costs of New Generation +Resources in the Annual Energy Outlook 2022.'' Report, March 2022. + +\bibitem{eesi_datacenter_2024} +Environmental and Energy Study Institute. ``Data Center Energy Needs are +Upending Power Grids and Threatening the Climate.'' Web article, 2024. + +\end{thebibliography} + +\end{document}e transitions occur safely and as defined by the +deterministic automata. This compositional approach enables local verification +of continuous modes without requiring global trajectory analysis across the +entire hybrid system. We will demonstrate this methodology by developing an +autonomous startup controller for a Small Modular Advanced High Temperature +Reactor (SmAHTR) and implementing it on an Emerson Ovation control system using +the ARCADE hardware-in-the-loop platform. +% Pay-off +This approach will demonstrate autonomous control can be used for complex +nuclear power operations while maintaining safety guarantees. + +\vspace{11pt} + +% OUTCOMES PARAGRAPHS +If this research is successful, we will be able to do the following: +\begin{enumerate} + % OUTCOME 1 Title + \item \textit{Synthesize written procedures into verified control logic.} + % Strategy + We will develop a methodology for converting written operating procedures + into formal specifications. These specifications will be synthesized into + discrete control logic using reactive synthesis tools. This process uses + structured intermediate representations to bridge natural language and + mathematical logic. + % Outcome + Control engineers will be able to generate mode-switching controllers from + regulatory procedures with little formal methods expertise, reducing + barriers to high-assurance control systems. + + % OUTCOME 2 Title + \item \textit{Verify continuous control behavior across mode transitions. } + % Strategy + We will develop methods using reachability analysis to ensure continuous control modes + satisfy discrete transition requirements. + % Outcome + Engineers will be able to design continuous controllers using standard + practices while ensuring system correctness and proving mode transitions + occur safely at the right times. + + % OUTCOME 3 Title + \item \textit{Demonstrate autonomous reactor startup control with safety + guarantees. } + % Strategy + We will implement this methodology on a small modular reactor simulation + using industry-standard control hardware. This trial will include multiple + coordinated control modes from cold shutdown through criticality to power + operation on a SmAHTR reactor simulation in a hardware-in-the-loop + experiment. + % Outcome + Control engineers will be able to implement high-assurance autonomous + controls on industrial platforms they already use, enabling users to + achieve autonomy without retraining costs or developing new equipment. + +\end{enumerate} +% +% % IMPACT PARAGRAPH Innovation +% The innovation is unifying discrete synthesis and continuous verification to +% enable end-to-end correctness guarantees for hybrid systems. +% % Outcome Impact +% If successful, control engineers will be able to create autonomous controllers from existing +% procedures with mathematical proof of correct behavior, making high-assurance +% autonomous control practical for safety-critical applications. +% % Impact/Pay-off +% This capability is essential for economic viability of next-generation nuclear +% power. Small modular reactors represent a promising solution to growing energy +% demands, but success depends on reducing per-megawatt operating costs through +% increased autonomy. This research will provide the tools to achieve that autonomy +% while maintaining the exceptional safety record required by the nuclear industry. + +\section{Limits of Current Practice} +Current generation nuclear power plants employ over 3,600 active NRC-licensed +reactor operators who hold legal authority to make critical decisions +including departing from regulations during emergencies. This authority is +both necessary and problematic, and has caused major nuclear accidents such as +the Three Mile Island Accident. The Three Mile Island accident demonstrated +how personnel error led to partial meltdown when operators misread confusing +readings and shut off emergency systems. The President's Commission identified +a fundamental ambiguity: operators hold full responsibility without formal +verification they can fulfill this under all conditions. + +Nuclear plant procedures exist in a hierarchy from normal operating procedures +through Emergency Operating Procedures to Severe Accident Management +Guidelines. Despite rigorous development processes including technical +evaluation and simulator validation testing, these procedures fundamentally +lack formal verification. No mathematical proof exists that procedures cover +all possible plant states or that required actions can be completed within +available timeframes. + +% The division between automated and human-controlled functions reveals the +% fundamental hybrid control challenge. Highly automated systems handle reactor +% protection and emergency core cooling, while human operators retain strategic +% decision-making. Current practice treats continuous plant dynamics and +% discrete control logic as separate concerns without formal integration. No +% application of hybrid control theory exists that could provide mathematical +% guarantees across mode transitions. +% +Human factors compound these verification gaps. 70--80\% of all nuclear power +plant events are attributed to human error rather than equipment failures. More +significantly, the IAEA concluded that human error was the root cause of all +severe accidents at nuclear power plants. The persistence of this ratio despite +four decades of improvements suggests fundamental cognitive limitations rather +than remediable deficiencies. + +The Three Mile Island accident provides the definitive case study. When a +pressure-operated relief valve stuck open, instrumentation showed only +commanded position, not actual position. This information gap proved decisive. +When Emergency Core Cooling pumps automatically activated, operators shut them +down based on incorrect assessment. Operators faced over 100 simultaneous +alarms, overwhelming their cognitive capacity. The core suffered 44\% fuel +meltdown before stabilization. + +Human Reliability Analysis methods quantify these limitations. Nominal Human +Error Probabilities stand at 0.01 (1\%) for diagnosis tasks under optimal +conditions. These rates degrade dramatically under accident conditions: +inadequate time increases error probability 10-fold, extreme stress by 5-fold, +high complexity by 5-fold. Under combined adverse conditions, human error +probabilities approach 0.1 to 1.0---essentially guaranteed failure. + +The underlying causes are fundamental and cannot be overcome through training +alone. Response time limitations constrain effectiveness. Visual perception +requires 100-200 milliseconds, decisions 200-400 milliseconds. Reactor +transients evolve in seconds. Protection systems must respond in milliseconds, +100-1000 times faster than humans. Working memory capacity is limited to +7$\pm$2 chunks, explaining why TMI's 100+ alarms exceeded operators' +processing capacity. These are not training failures---they are fundamental +properties of human cognition. + +Recent efforts to apply formal methods to nuclear control show both promise +and remaining gaps. The High Assurance Rigorous Digital Engineering for +Nuclear Safety (HARDENS) project represents the most advanced application to +date. Completed in nine months at a fraction of typical costs, HARDENS +produced a complete Reactor Trip System with full traceability from NRC +requirements through formal specifications to verified binaries. + +The project employed impressive formal methods. FRET handled requirements +elicitation. Cryptol provided executable specifications. SAW performed +verification. Automatic code synthesis generated formally verifiable +implementations. This comprehensive approach demonstrated that formal methods +are technically feasible and economically viable for nuclear protection +systems. + +Despite these accomplishments, HARDENS has a fundamental limitation directly +relevant to our work. The project addressed only discrete digital control +logic without modeling or verifying continuous reactor dynamics. Real reactor +safety depends on interaction between continuous processes---temperature, +pressure, neutron flux---and discrete control decisions. HARDENS verified the +discrete controller in isolation but not the closed-loop hybrid system +behavior. + +Experimental validation presents the second major limitation. HARDENS produced +a demonstrator at Technology Readiness Level 3--4 rather than a +deployment-ready system. The gap between formal verification and actual +deployment involves integration with legacy systems, long-term reliability +under harsh environments, and regulatory acceptance of formal methods as +primary assurance evidence. + +These three converging lines reveal the research imperative. Current practice +lacks formal verification of procedures and mode transitions. Human operators +contribute to 70--80\% of incidents despite continuous improvements, +suggesting fundamental rather than remediable limitations. HARDENS +demonstrated feasibility of formal methods but addressed only discrete logic, +leaving hybrid dynamics unverified. The continuous dynamics of reactor physics +combined with discrete control logic demand hybrid automata or differential +dynamic logic that can verify properties spanning both domains. This gap +defines the research opportunity. + +\section{Research Approach} + +This research will overcome the identified limitations by combining formal +methods from computer science with control theory to build hybrid control +systems that are correct by construction. We accomplish this through three +main thrusts that progress from written procedures to verified implementations. + +Commercial nuclear power operations remain manually controlled despite +significant advances in control systems. The key insight is that procedures +performed by human operators are highly prescriptive and well-documented. +Written procedures in nuclear power are sufficiently detailed that we may +translate them into logical formulae with minimal effort. This To formalize +these procedures, we will use temporal logic, which captures system behaviors +through temporal relations. Linear Temporal Logic provides four fundamental +operators: next ($X$), eventually ($F$), globally ($G$), and until ($U$). These +operators enable precise specification of time-dependent requirements. + +These specifications precisely define behavior in a way that natural language is +not able to reproduce. The most efficient path to accomplish this translation is +through NASA's Formal Requirements Elicitation Tool (FRET). FRET employs +FRETish, a specialized requirements language that restricts requirements to +easily understood components while eliminating ambiguity. FRET enforces +structure by requiring all requirements to contain six components: Scope, +Condition, Component, Shall, Timing, and Response. + +FRET provides functionality to check realizability of a system. Realizability +analysis determines whether written requirements are complete by examining the +six structural components. Complete requirements neither conflict with one +another nor leave any behavior undefined. Systems that are not realizable +contain behavioral inconsistencies that represent the physical equivalent of +software bugs. Using FRET during autonomous controller development allows us +to identify and resolve these errors systematically. FRET exports requirements +in temporal logic format compatible with reactive synthesis tools, enabling +the second thrust of our approach. + +Reactive synthesis is an active research field focused on generating discrete +controllers from temporal logic specifications. The term reactive indicates +that the system responds to environmental inputs to produce control outputs. +These synthesized systems are finite in size, where each node represents a +unique discrete state. The connections between nodes, called state +transitions, specify the conditions under which the discrete controller moves +from state to state. This complete mapping constitutes a discrete automaton. + +We will employ state-of-the-art reactive synthesis tools, particularly Strix, +which has demonstrated superior performance in the Reactive Synthesis +Competition through efficient parity game solving algorithms. Strix translates +linear temporal logic specifications into deterministic automata automatically +while maximizing generated automata quality. Once constructed, the automaton +can be straightforwardly implemented using standard programming control flow +constructs. + +The discrete automata representation yields an important theoretical +guarantee. Because the discrete automaton is synthesized entirely through +automated tools from design requirements and operating procedures, we can +prove that the automaton---and therefore our hybrid switching behavior---is +correct by construction. This correctness guarantee is paramount. Mode +switching represents the primary responsibility of human operators in control +rooms today. Human operators possess the advantage of real-time +judgment---when mistakes occur, they can correct them dynamically. Autonomous +control lacks this adaptive advantage. By synthesizing controllers from +logical specifications with guaranteed correctness, we eliminate the +possibility of switching errors. + +While discrete system components will be synthesized with correctness +guarantees, they represent only half of the complete system. The continuous +modes will be developed after discrete automaton construction, leveraging the +automaton structure and transitions to design multiple smaller, specialized +continuous controllers. This progression from discrete to continuous design +addresses a key challenge in hybrid system verification. + +The discrete automaton transitions mark decision points for switching between +continuous control modes and define their strategic objectives. We will +classify three types of high-level continuous controller objectives: +Stabilizing modes maintain the hybrid system within its current discrete mode, +corresponding to steady-state normal operating modes like full-power +load-following control. Transitory modes have the primary goal of +transitioning the hybrid system from one discrete state to another, such as +controlled warm-up procedures. Expulsory modes are specialized transitory +modes with additional safety constraints that ensure the system is directed to +a safe stabilizing mode during failure conditions, such as reactor SCRAM. + +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 +discontinuities complicate verification. This work alleviates these problems +by designing continuous controllers specifically with transitions in mind. By +decomposing continuous modes according to their required behavior at +transition points, we avoid solving trajectories through the entire hybrid +system. + +To ensure continuous modes satisfy their requirements, we will employ three +complementary techniques. Reachability analysis computes the reachable set of +states for a given input set. We will use reachability to define continuous +state ranges at discrete transition boundaries and verify that requirements +are satisfied within continuous modes. Assume-guarantee contracts will be +employed when continuous state boundaries are not explicitly defined. For any +given mode, the input range for reachability 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. +Barrier certificates will prove that mode transitions are satisfied. Control +barrier functions provide a method to certify safety by establishing +differential inequality conditions that guarantee forward invariance of safe +sets. + +Combining these three techniques will enable us to prove that continuous +components 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 with well-documented startup procedures that +must transition through multiple distinct operational modes: initial cold +conditions, controlled heating to operating temperature, approach to +criticality, low-power physics testing, and power ascension to full operating +capacity. + +We have already developed a high-fidelity SmAHTR model in Simulink that +captures the thermal-hydraulic and neutron kinetics behavior. The synthesized +hybrid controller will be implemented on an Emerson Ovation control system +platform, which is representative of industry-standard control hardware. The +Advanced Reactor Cyber Analysis and Development Environment (ARCADE) suite +will serve as the integration layer, managing real-time communication between +the Simulink simulation and the Ovation controller. This hardware-in-the-loop +configuration enables validation of the controller implementation on actual +industrial control equipment. + +\section{Metrics of Success} + +This research will be measured by advancement through Technology Readiness +Levels, progressing from fundamental concepts to validated prototype +demonstration. The work begins at TRL 2--3 and aims to reach TRL 5, where +system components operate successfully in a relevant laboratory environment. + +TRLs provide the ideal success metric because they explicitly measure the gap +between academic proof-of-concept and practical deployment. This gap is +precisely what our work aims to bridge. TRLs capture both theoretical rigor +and practical feasibility simultaneously. The nuclear industry already uses +TRLs for technology assessment, making this metric directly relevant to +potential adopters. + +Moving from current state (TRL 2--3) to target (TRL 5) requires achieving +three intermediate levels. TRL 3 demonstrates that each component works in +isolation. Startup procedures must be translated into temporal logic +specifications that pass realizability analysis. A discrete automaton must be +synthesized with interpretable structure. At least one continuous controller +must be designed with verified transition requirements. This level proves the +fundamental approach on simplified sequences. + +TRL 4 demonstrates a complete integrated hybrid controller in simulation. All +startup procedures must be formalized with continuous controllers existing for +all discrete modes. Verification must be complete for all mode transitions. +The integrated controller must execute complete startup sequences with zero +safety violations. This level proves that formal correctness guarantees can be +maintained throughout system integration. + +TRL 5 demonstrates the verified controller on industrial control hardware +through hardware-in-the-loop testing. The discrete automaton must be +implemented on Emerson Ovation hardware and verified to match synthesized +specifications exactly. The ARCADE interface must establish stable real-time +communication between Ovation hardware and SmAHTR simulation. Complete +autonomous startup sequences must execute across the full operational +envelope. This level proves that the methodology produces verified controllers +implementable with current technology. + +This research succeeds if it achieves TRL 5, establishing both theoretical +validity and practical feasibility. Success provides a clear pathway for +nuclear industry adoption and broader application to safety-critical +autonomous systems. + +\section{Broader Impacts} + +Nuclear power presents both a compelling application domain and an urgent +economic challenge. Recent interest in powering artificial intelligence +infrastructure has renewed focus on small modular reactors for hyperscale +datacenters. According to the U.S. Energy Information Administration, advanced +nuclear power entering service in 2027 is projected to cost \$88.24 per +megawatt-hour. With datacenter electricity demand projected to reach 1,050 +terawatt-hours annually by 2030, operations and maintenance costs represent +approximately 23--30\% of total levelized cost, translating to \$21--28 +billion annually for projected datacenter demand. + +This research directly addresses the multi-billion dollar O\&M cost challenge. +Current nuclear operations require full control room staffing for each +reactor. These staffing requirements drive high O\&M costs, particularly for +smaller reactor designs where the same overhead must be spread across lower +power output. The economic burden threatens the viability of next-generation +nuclear technologies. + +By synthesizing provably correct hybrid controllers, we can automate routine +operational sequences that currently require constant human oversight. This +enables a fundamental shift from direct operator control to supervisory +monitoring where operators oversee multiple autonomous reactors rather than +manually controlling individual units. The transition fundamentally changes +the economics of nuclear operations. + +The correct-by-construction methodology is critical for this transition. +Traditional automation approaches cannot provide sufficient safety guarantees +for nuclear applications where regulatory requirements and public safety +concerns demand the highest levels of assurance. By formally verifying both +discrete mode-switching logic and continuous control behavior, this research +will produce controllers with mathematical proofs of correctness. These +guarantees enable automation to safely handle routine operations that +currently require human operators to follow written procedures. + +Small modular reactors represent an ideal deployment target. Nuclear +Regulatory Commission certification requires extensive documentation of +control procedures, operational requirements, and safety analyses written in +structured natural language. These regulatory documents can be translated into +temporal logic specifications using FRET, synthesized into discrete switching +logic using reactive synthesis tools, and verified using reachability analysis +and barrier certificates. The infrastructure of requirements is already +complete as part of licensing. This creates a direct pathway from existing +regulatory documentation to formally verified autonomous controllers. + +Beyond nuclear applications, this research will establish a generalizable +framework for autonomous control of safety-critical systems. The methodology +of translating operational procedures into formal specifications, synthesizing +discrete switching logic, and verifying continuous mode behavior applies to +any hybrid system with documented operational requirements. Potential +applications include chemical process control, aerospace systems, and +autonomous transportation. These domains share similar economic and safety +considerations that favor increased autonomy with provable correctness +guarantees. By demonstrating this approach in nuclear power---one of the most +regulated and safety-critical domains---this research will establish both +technical feasibility and regulatory pathways for broader adoption across +critical infrastructure. + +\newpage + +% REFERENCES CITED + +\begin{thebibliography}{99} + +\bibitem{10CFR55} +U.S. Nuclear Regulatory Commission. ``10 CFR Part 55 - Operators' Licenses.'' +\textit{Code of Federal Regulations}, 2024. + +\bibitem{princeton} +Princeton University. ``Nuclear Reactor Operator Training.'' +\textit{Princeton Plasma Physics Laboratory}, 2023. + +\bibitem{Kemeny1979} +J. G. Kemeny et al. ``Report of the President's Commission on the Accident +at Three Mile Island.'' U.S. Government Printing Office, October 1979. + +\bibitem{NUREG-0899} +U.S. Nuclear Regulatory Commission. ``Guidelines for the Preparation of +Emergency Operating Procedures.'' NUREG-0899, August 1982. + +\bibitem{DOE-HDBK-1028-2009} +U.S. Department of Energy. ``Human Performance Improvement Handbook.'' +DOE-HDBK-1028-2009, June 2009. + +\bibitem{WNA2020} +World Nuclear Association. ``Safety of Nuclear Power Reactors.'' +\textit{World Nuclear Association Information Library}, 2020. + +\bibitem{IAEA-severe-accidents} +International Atomic Energy Agency. ``Lessons Learned from Severe Nuclear +Accidents.'' IAEA Technical Report, 2016. + +\bibitem{Wang2025} +Y. Wang et al. ``Human Error Analysis of 190 Events at Chinese Nuclear +Power Plants from 2007-2020.'' \textit{Nuclear Engineering and Design}, +vol. 395, 2025. + +\bibitem{Kiniry2022} +J. Kiniry et al. ``High Assurance Rigorous Digital Engineering for Nuclear +Safety (HARDENS).'' NRC Final Technical Report ML22326A307, September 2022. + +\bibitem{eia_lcoe_2022} +U.S. Energy Information Administration. ``Levelized Costs of New Generation +Resources in the Annual Energy Outlook 2022.'' Report, March 2022. + +\bibitem{eesi_datacenter_2024} +Environmental and Energy Study Institute. ``Data Center Energy Needs are +Upending Power Grids and Threatening the Climate.'' Web article, 2024. + +\end{thebibliography} + +\end{document} diff --git a/Writing/WHITEPAPER.zip b/Writing/WHITEPAPER.zip new file mode 100644 index 0000000000000000000000000000000000000000..2fc5a481629c7c1738e3f329b119b672c85673bb GIT binary patch literal 1559681 zcmagFQ?MvYx2-#Dn{(K&LAt-flR zU0wpu_wcLD{#2M|$|mZ4Koh6Mo6Gkr17|7ZNWy0}9F0D_zW0|5MI zlK+nc1ONm;e1zP8OT@+i0Kop2gpGlPEv>1w(|@D{;O@-J|B?B3{U1`-Ia-Z>S&{sA zAE{1k^5~spX|wR?J;YTSvLs2eMw1bMs8ZtzAxCocdTILnM|oca5)pZmDl!gF3gyaN zE^Yb09!A65&QS&m$iz{07x zi(#4)n+Z^N%$?NPeI)Y#V!2=htHXpGr5fhkj1>r28wg5J7UmOLY_3|&ujT$ht#kg6 z4Qn=h`7NX zfk8KKeL9F>l8`3345r*M6izt6t>+U38zdHE7#Eb)NU-Wx2(~#z2W?_J{C)&yyMZZw zTfA;hTUpk3$3!1}ByX`u?`S>IFd>Ovt(7s;MmdsMSqc7`OGwx9RGl21j+|T^uZh4L zzuy#RPI(?(Ubnf|bw@&LH(`%mlqqDXAb$!$r!ZwA?(E7iTVcNrwYT8&e$*8?;Ucr!Ek z@!&y!UQsK}$FaF7Q7AZ_^>%42a}auelG~))9v2v35g}2rkEAkLTOXw-L<4BTmzK z2Qs43AX8?gxS#vsVWzI?iP15ml7puJvp|~7)}SK~t+cr0X=&I{2yc5jyjGdKJqhlsF%kqo@B#K!sQU^z$;pj(w%x={3^&u|EpFLyOVekzdGok 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