Multiple-valued logic: technology and circuit implementation

Title from PDF of title page, viewed March 1, 2023Dissertation advisors: Masud H. Chowdhury and Yugyung LeeVitaIncludes bibliographical references (pages 91-107)Dissertation (Ph.D.)--Department of Computer Science and Electrical Engineering. University of Missouri--Kansas City, 2021Computing technologies are currently based on the binary logic/number system, which is dependent on the simple on and off switching mechanism of the prevailing transistors. With the exponential increase of data processing and storage needs, there is a strong push to move to a higher radix logic/number system that can eradicate or lessen many limitations of the binary system. Anticipated saturation of Moore's law and the necessity to increase information density and processing speed in the future micro and nanoelectronic circuits and systems provide a strong background and motivation for the beyond-binary logic system. During this project, different technologies for Multiple-Valued-Logic (MVL) devices and the associated prospects and constraints are discussed. The feasibility of the MVL system in real-world applications rests on resolving two major challenges: (i) development of an efficient mathematical approach to implement the MVL logic using available technologies and (ii) availability of effective synthesis techniques. The main part of this project can be divided into two categories: (i) proposing different novel and efficient design for various logic and arithmetic circuits such as inverter, NAND, NOR, adder, multiplexer etc. (ii) proposing different fast and efficient design for various sequential and memory circuits. For the operation of the device, two of the very promising emerging technologies are used: Graphene Nanoribbon Field Effect Transistor (GNRFET) and Carbon Nano Tube Field Effect Transistor (CNTFET). A comparative analysis of the proposed designs and several state-of-the-art designs are also given in all the cases in terms of delay, total power, and power-delay-product (PDP). The simulation and analysis are performed using the H-SPICE tool with a GNRFET model available on the Nanohub website and CNTFET model available from Standford University website.Introduction -- Fundamentals and scope of multiple valued logic -- Technological aspect of multiple valued logic circuit -- Ternary logic gates using Graphene Nano Ribbon Field Effect Transistor (GNRFET) -- Ternary arithmetic circuits using Graphene Nano Ribbon Field Effect Transistor (GNRFET) -- Ternary sequential circuits using Graphene Nano Ribbon Field Effect Transistor (GNRFET) -- Ternary memory circuits using Carbon Nano Tube Field Effect Transistor (CNTFET) -- Conclusions & future wor

Investigation of Multiple-valued Logic Technologies for Beyond-binary Era

Computing technologies are currently based on the binary logic/number system, which is dependent on the simple on and off switching mechanism of the prevailing transistors. With the exponential increase of data processing and storage needs, there is a strong push to move to a higher radix logic/number system that can eradicate or lessen many limitations of the binary system. Anticipated saturation of Moore’s law and the necessity to increase information density and processing speed in the future micro and nanoelectronic circuits and systems provide a strong background and motivation for the beyond-binary logic system. In this review article, different technologies for Multiple-valued-Logic (MVL) devices and the associated prospects and constraints are discussed. The feasibility of the MVL system in real-world applications rests on resolving two major challenges: (i) development of an efficient mathematical approach to implement the MVL logic using available technologies, and (ii) availability of effective synthesis techniques. This review of different technologies for the MVL system is intended to perform a comprehensive investigation of various MVL technologies and a comparative analysis of the feasible approaches to implement MVL devices, especially ternary logic

New Logic Synthesis As Nanotechnology Enabler (invited paper)

Nanoelectronics comprises a variety of devices whose electrical properties are more complex as compared to CMOS, thus enabling new computational paradigms. The potentially large space for innovation has to be explored in the search for technologies that can support large-scale and high- performance circuit design. Within this space, we analyze a set of emerging technologies characterized by a similar computational abstraction at the design level, i.e., a binary comparator or a majority voter. We demonstrate that new logic synthesis techniques, natively supporting this abstraction, are the technology enablers. We describe models and data-structures for logic design using emerging technologies and we show results of applying new synthesis algorithms and tools. We conclude that new logic synthesis methods are required to both evaluate emerging technologies and to achieve the best results in terms of area, power and performance

Cutting Edge Nanotechnology

The main purpose of this book is to describe important issues in various types of devices ranging from conventional transistors (opening chapters of the book) to molecular electronic devices whose fabrication and operation is discussed in the last few chapters of the book. As such, this book can serve as a guide for identifications of important areas of research in micro, nano and molecular electronics. We deeply acknowledge valuable contributions that each of the authors made in writing these excellent chapters

Nasics: A `Fabric-Centric\u27 Approach Towards Integrated Nanosystems

This dissertation addresses the fundamental problem of how to build computing systems for the nanoscale. With CMOS reaching fundamental limits, emerging nanomaterials such as semiconductor nanowires, carbon nanotubes, graphene etc. have been proposed as promising alternatives. However, nanoelectronics research has largely focused on a `device-first\u27 mindset without adequately addressing system-level capabilities, challenges for integration and scalable assembly. In this dissertation, we propose to develop an integrated nano-fabric, (broadly defined as nanostructures/devices in conjunction with paradigms for assembly, inter-connection and circuit styles), as opposed to approaches that focus on MOSFET replacement devices as the ultimate goal. In the `fabric-centric\u27 mindset, design choices at individual levels are made compatible with the fabric as a whole and minimize challenges for nanomanufacturing while achieving system-level benefits vs. scaled CMOS. We present semiconductor nanowire based nano-fabrics incorporating these fabric-centric principles called NASICs and N3ASICs and discuss how we have taken them from initial design to experimental prototype. Manufacturing challenges are mitigated through careful design choices at multiple levels of abstraction. Regular fabrics with limited customization mitigate overlay alignment requirements. Cross-nanowire FET devices and interconnect are assembled together as part of the uniform regular fabric without the need for arbitrary fine-grain interconnection at the nanoscale, routing or device sizing. Unconventional circuit styles are devised that are compatible with regular fabric layouts and eliminate the requirement for using complementary devices. Core fabric concepts are introduced and validated. Detailed analyses on device-circuit co-design and optimization, cascading, noise and parameter variation are presented. Benchmarking of nanowire processor designs vs. equivalent scaled 16nm CMOS shows up to 22X area, 30X power benefits at comparable performance, and with overlay precision that is achievable with present-day technology. Building on the extensive manufacturing-friendly fabric framework, we present recent experimental efforts and key milestones that have been attained towards realizing a proof-of-concept prototype at dimensions of 30nm and below

Electronic Nanodevices

The start of high-volume production of field-effect transistors with a feature size below 100 nm at the end of the 20th century signaled the transition from microelectronics to nanoelectronics. Since then, downscaling in the semiconductor industry has continued until the recent development of sub-10 nm technologies. The new phenomena and issues as well as the technological challenges of the fabrication and manipulation at the nanoscale have spurred an intense theoretical and experimental research activity. New device structures, operating principles, materials, and measurement techniques have emerged, and new approaches to electronic transport and device modeling have become necessary. Examples are the introduction of vertical MOSFETs in addition to the planar ones to enable the multi-gate approach as well as the development of new tunneling, high-electron mobility, and single-electron devices. The search for new materials such as nanowires, nanotubes, and 2D materials for the transistor channel, dielectrics, and interconnects has been part of the process. New electronic devices, often consisting of nanoscale heterojunctions, have been developed for light emission, transmission, and detection in optoelectronic and photonic systems, as well for new chemical, biological, and environmental sensors. This Special Issue focuses on the design, fabrication, modeling, and demonstration of nanodevices for electronic, optoelectronic, and sensing applications

New Data Structures and Algorithms for Logic Synthesis and Verification

The strong interaction between Electronic Design Automation (EDA) tools and Complementary Metal-Oxide Semiconductor (CMOS) technology contributed substantially to the advancement of modern digital electronics. The continuous downscaling of CMOS Field Effect Transistor (FET) dimensions enabled the semiconductor industry to fabricate digital systems with higher circuit density at reduced costs. To keep pace with technology, EDA tools are challenged to handle both digital designs with growing functionality and device models of increasing complexity. Nevertheless, whereas the downscaling of CMOS technology is requiring more complex physical design models, the logic abstraction of a transistor as a switch has not changed even with the introduction of 3D FinFET technology. As a consequence, modern EDA tools are fine tuned for CMOS technology and the underlying design methodologies are based on CMOS logic primitives, i.e., negative unate logic functions. While it is clear that CMOS logic primitives will be the ultimate building blocks for digital systems in the next ten years, no evidence is provided that CMOS logic primitives are also the optimal basis for EDA software. In EDA, the efficiency of methods and tools is measured by different metrics such as (i) the result quality, for example the performance of a digital circuit, (ii) the runtime and (iii) the memory footprint on the host computer. With the aim to optimize these metrics, the accordance to a specific logic model is no longer important. Indeed, the key to the success of an EDA technique is the expressive power of the logic primitives handling and solving the problem, which determines the capability to reach better metrics. In this thesis, we investigate new logic primitives for electronic design automation tools. We improve the efficiency of logic representation, manipulation and optimization tasks by taking advantage of majority and biconditional logic primitives. We develop synthesis tools exploiting the majority and biconditional expressiveness. Our tools show strong results as compared to state-of-the-art academic and commercial synthesis tools. Indeed, we produce the best results for several public benchmarks. On top of the enhanced synthesis power, our methods are the natural and native logic abstraction for circuit design in emerging nanotechnologies, where majority and biconditional logic are the primitive gates for physical implementation. We accelerate formal methods by (i) studying properties of logic circuits and (ii) developing new frameworks for logic reasoning engines. We prove non-trivial dualities for the property checking problem in logic circuits. Our findings enable sensible speed-ups in solving circuit satisfiability. We develop an alternative Boolean satisfiability framework based on majority functions. We prove that the general problem is still intractable but we show practical restrictions that can be solved efficiently. Finally, we focus on reversible logic where we propose a new equivalence checking approach. We exploit the invertibility of computation and the functionality of reversible gates in the formulation of the problem. This enables one order of magnitude speed up, as compared to the state-of-the-art solution. We argue that new approaches to solve EDA problems are necessary, as we have reached a point of technology where keeping pace with design goals is tougher than ever

Printed Electronics-Based Physically Unclonable Functions for Lightweight Security in the Internet of Things

Die moderne Gesellschaft strebt mehr denn je nach digitaler Konnektivität - überall und zu jeder Zeit - was zu Megatrends wie dem Internet der Dinge (Internet of Things, IoT) führt. Bereits heute kommunizieren und interagieren „Dinge“ autonom miteinander und werden in Netzwerken verwaltet. In Zukunft werden Menschen, Daten und Dinge miteinander verbunden sein, was auch als Internet von Allem (Internet of Everything, IoE) bezeichnet wird. Milliarden von Geräten werden in unserer täglichen Umgebung allgegenwärtig sein und über das Internet in Verbindung stehen. Als aufstrebende Technologie ist die gedruckte Elektronik (Printed Electronics, PE) ein Schlüsselelement für das IoE, indem sie neuartige Gerätetypen mit freien Formfaktoren, neuen Materialien auf einer Vielzahl von Substraten mit sich bringt, die flexibel, transparent und biologisch abbaubar sein können. Darüber hinaus ermöglicht PE neue Freiheitsgrade bei der Anpassbarkeit von Schaltkreisen sowie die kostengünstige und großflächige Herstellung am Einsatzort. Diese einzigartigen Eigenschaften von PE ergänzen herkömmliche Technologien auf Siliziumbasis. Additive Fertigungsprozesse ermöglichen die Realisierung von vielen zukunftsträchtigen Anwendungen wie intelligente Objekte, flexible Displays, Wearables im Gesundheitswesen, umweltfreundliche Elektronik, um einige zu nennen. Aus der Sicht des IoE ist die Integration und Verbindung von Milliarden heterogener Geräte und Systeme eine der größten zu lösenden Herausforderungen. Komplexe Hochleistungsgeräte interagieren mit hochspezialisierten, leichtgewichtigen elektronischen Geräten, wie z.B. Smartphones mit intelligenten Sensoren. Daten werden in der Regel kontinuierlich gemessen, gespeichert und mit benachbarten Geräten oder in der Cloud ausgetauscht. Dabei wirft die Fülle an gesammelten und verarbeiteten Daten Bedenken hinsichtlich des Datenschutzes und der Sicherheit auf. Herkömmliche kryptografische Operationen basieren typischerweise auf deterministischen Algorithmen, die eine hohe Schaltungs- und Systemkomplexität erfordern, was sie wiederum für viele leichtgewichtige Geräte ungeeignet macht. Es existieren viele Anwendungsbereiche, in denen keine komplexen kryptografischen Operationen erforderlich sind, wie z.B. bei der Geräteidentifikation und -authentifizierung. Dabei hängt das Sicherheitslevel hauptsächlich von der Qualität der Entropiequelle und der Vertrauenswürdigkeit der abgeleiteten Schlüssel ab. Statistische Eigenschaften wie die Einzigartigkeit (Uniqueness) der Schlüssel sind von großer Bedeutung, um einzelne Entitäten genau unterscheiden zu können. In den letzten Jahrzehnten hat die Hardware-intrinsische Sicherheit, insbesondere Physically Unclonable Functions (PUFs), eine große Strahlkraft hinsichtlich der Bereitstellung von Sicherheitsfunktionen für IoT-Geräte erlangt. PUFs verwenden ihre inhärenten Variationen, um gerätespezifische eindeutige Kennungen abzuleiten, die mit Fingerabdrücken in der Biometrie vergleichbar sind. Zu den größten Potenzialen dieser Technologie gehören die Verwendung einer echten Zufallsquelle, die Ableitung von Sicherheitsschlüsseln nach Bedarf sowie die inhärente Schlüsselspeicherung. In Kombination mit den einzigartigen Merkmalen der PE-Technologie werden neue Möglichkeiten eröffnet, um leichtgewichtige elektronische Geräte und Systeme abzusichern. Obwohl PE noch weit davon entfernt ist, so ausgereift und zuverlässig wie die Siliziumtechnologie zu sein, wird in dieser Arbeit gezeigt, dass PE-basierte PUFs vielversprechende Sicherheitsprimitiven für die Schlüsselgenerierung zur eindeutigen Geräteidentifikation im IoE sind. Dabei befasst sich diese Arbeit in erster Linie mit der Entwicklung, Untersuchung und Bewertung von PE-basierten PUFs, um Sicherheitsfunktionen für ressourcenbeschränkte gedruckte Geräte und Systeme bereitzustellen. Im ersten Beitrag dieser Arbeit stellen wir das skalierbare, auf gedruckter Elektronik basierende Differential Circuit PUF (DiffC-PUF) Design vor, um sichere Schlüssel für Sicherheitsanwendungen für ressourcenbeschränkte Geräte bereitzustellen. Die DiffC-PUF ist als hybride Systemarchitektur konzipiert, die siliziumbasierte und gedruckte Komponenten enthält. Es wird eine eingebettete PUF-Plattform entwickelt, um die Charakterisierung von siliziumbasierten und gedruckten PUF-Cores in großem Maßstab zu ermöglichen. Im zweiten Beitrag dieser Arbeit werden siliziumbasierte PUF-Cores auf Basis diskreter Komponenten hergestellt und statistische Tests unter realistischen Betriebsbedingungen durchgeführt. Eine umfassende experimentelle Analyse der PUF-Sicherheitsmetriken wird vorgestellt. Die Ergebnisse zeigen, dass die DiffC-PUF auf Siliziumbasis nahezu ideale Werte für die Uniqueness- und Reliability-Metriken aufweist. Darüber hinaus werden die Identifikationsfähigkeiten der DiffC-PUF untersucht, und es stellte sich heraus, dass zusätzliches Post-Processing die Identifizierbarkeit des Identifikationssystems weiter verbessern kann. Im dritten Beitrag dieser Arbeit wird zunächst ein Evaluierungsworkflow zur Simulation von DiffC-PUFs basierend auf gedruckter Elektronik vorgestellt, welche auch als Hybrid-PUFs bezeichnet werden. Hierbei wird eine Python-basierte Simulationsumgebung vorgestellt, welche es ermöglicht, die Eigenschaften und Variationen gedruckter PUF-Cores basierend auf Monte Carlo (MC) Simulationen zu untersuchen. Die Simulationsergebnisse zeigen, dass die Sicherheitsmetriken im besten Betriebspunkt nahezu ideal sind. Des Weiteren werden angefertigte PE-basierte PUF-Cores für statistische Tests unter verschiedenen Betriebsbedingungen, einschließlich Schwankungen der Umgebungstemperatur, der relativen Luftfeuchtigkeit und der Versorgungsspannung betrieben. Die experimentell bestimmten Resultate der Uniqueness-, Bit-Aliasing- und Uniformity-Metriken stimmen gut mit den Simulationsergebnissen überein. Der experimentell ermittelte durchschnittliche Reliability-Wert ist relativ niedrig, was durch die fehlende Passivierung und Einkapselung der gedruckten Transistoren erklärt werden kann. Die Untersuchung der Identifikationsfähigkeiten basierend auf den PUF-Responses zeigt, dass die Hybrid-PUF ohne zusätzliches Post-Processing nicht für kryptografische Anwendungen geeignet ist. Die Ergebnisse zeigen aber auch, dass sich die Hybrid-PUF zur Geräteidentifikation eignet. Der letzte Beitrag besteht darin, in die Perspektive eines Angreifers zu wechseln. Um die Sicherheitsfähigkeiten der Hybrid-PUF beurteilen zu können, wird eine umfassende Sicherheitsanalyse nach Art einer Kryptoanalyse durchgeführt. Die Analyse der Entropie der Hybrid-PUF zeigt, dass seine Anfälligkeit für Angriffe auf Modellbasis hauptsächlich von der eingesetzten Methode zur Generierung der PUF-Challenges abhängt. Darüber hinaus wird ein Angriffsmodell eingeführt, um die Leistung verschiedener mathematischer Klonangriffe auf der Grundlage von abgehörten Challenge-Response Pairs (CRPs) zu bewerten. Um die Hybrid-PUF zu klonen, wird ein Sortieralgorithmus eingeführt und mit häufig verwendeten Classifiers für überwachtes maschinelles Lernen (ML) verglichen, einschließlich logistischer Regression (LR), Random Forest (RF) sowie Multi-Layer Perceptron (MLP). Die Ergebnisse zeigen, dass die Hybrid-PUF anfällig für modellbasierte Angriffe ist. Der Sortieralgorithmus profitiert von kürzeren Trainingszeiten im Vergleich zu den ML-Algorithmen. Im Falle von fehlerhaft abgehörten CRPs übertreffen die ML-Algorithmen den Sortieralgorithmus

Hybrid Nanomaterials

Two of the hottest research topics today are hybrid nanomaterials and flexible electronics. As such, this book covers both topics with chapters written by experts from across the globe. Chapters address hybrid nanomaterials, electronic transport in black phosphorus, three-dimensional nanocarbon hybrids, hybrid ion exchangers, pressure-sensitive adhesives for flexible electronics, simulation and modeling of transistors, smart manufacturing technologies, and inorganic semiconductors

Nano-intrinsic security primitives for internet of everything

With the advent of Internet-enabled electronic devices and mobile computer systems, maintaining data security is one of the most important challenges in modern civilization. The innovation of physically unclonable functions (PUFs) shows great potential for enabling low-cost low-power authentication, anti-counterfeiting and beyond on the semiconductor chips. This is because secrets in a PUF are hidden in the randomness of the physical properties of desirably identical devices, making it extremely difficult, if not impossible, to extract them. Hence, the basic idea of PUF is to take advantage of inevitable non-idealities in the physical domain to create a system that can provide an innovative way to secure device identities, sensitive information, and their communications. While the physical variation exists everywhere, various materials, systems, and technologies have been considered as the source of unpredictable physical device variation in large scales for generating security primitives. The purpose of this project is to develop emerging solid-state memory-based security primitives and examine their robustness as well as feasibility. Firstly, the author gives an extensive overview of PUFs. The rationality, classification, and application of PUF are discussed. To objectively compare the quality of PUFs, the author formulates important PUF properties and evaluation metrics. By reviewing previously proposed constructions ranging from conventional standard complementary metal-oxide-semiconductor (CMOS) components to emerging non-volatile memories, the quality of different PUFs classes are discussed and summarized. Through a comparative analysis, emerging non-volatile redox-based resistor memories (ReRAMs) have shown the potential as promising candidates for the next generation of low-cost, low-power, compact in size, and secure PUF. Next, the author presents novel approaches to build a PUF by utilizing concatenated two layers of ReRAM crossbar arrays. Upon concatenate two layers, the nonlinear structure is introduced, and this results in the improved uniformity and the avalanche characteristic of the proposed PUF. A group of cell readout method is employed, and it supports a massive pool of challenge-response pairs of the nonlinear ReRAM-based PUF. The non-linear PUF construction is experimentally assessed using the evaluation metrics, and the quality of randomness is verified using predictive analysis. Last but not least, random telegraph noise (RTN) is studied as a source of entropy for a true random number generation (TRNG). RTN is usually considered a disadvantageous feature in the conventional CMOS designs. However, in combination with appropriate readout scheme, RTN in ReRAM can be used as a novel technique to generate quality random numbers. The proposed differential readout-based design can maintain the quality of output by reducing the effect of the undesired noise from the whole system, while the controlling difficulty of the conventional readout method can be significantly reduced. This is advantageous as the differential readout circuit can embrace the resistance variation features of ReRAMs without extensive pre-calibration. The study in this thesis has the potential to enable the development of cost-efficient and lightweight security primitives that can be integrated into modern computer mobile systems and devices for providing a high level of security