Computational Modalities of Belousov-Zhabotinsky Encapsulated Vesicles

We present both simulated and partial empirical evidence for the computational utility of many connected vesicle analogs of an encapsulated non-linear chemical processing medium. By connecting small vesicles containing a solution of sub-excitable Belousov-Zhabotinsky (BZ) reaction, sustained and propagating wave fragments are modulated by both spatial geometry, network connectivity and their interaction with other waves. The processing ability is demonstrated through the creation of simple Boolean logic gates and then by the combination of those gates to create more complex circuits

Custom optimization algorithms for efficient hardware implementation

The focus is on real-time optimal decision making with application in advanced control systems. These computationally intensive schemes, which involve the repeated solution of (convex) optimization problems within a sampling interval, require more efficient computational methods than currently available for extending their application to highly dynamical systems and setups with resource-constrained embedded computing platforms. A range of techniques are proposed to exploit synergies between digital hardware, numerical analysis and algorithm design. These techniques build on top of parameterisable hardware code generation tools that generate VHDL code describing custom computing architectures for interior-point methods and a range of first-order constrained optimization methods. Since memory limitations are often important in embedded implementations we develop a custom storage scheme for KKT matrices arising in interior-point methods for control, which reduces memory requirements significantly and prevents I/O bandwidth limitations from affecting the performance in our implementations. To take advantage of the trend towards parallel computing architectures and to exploit the special characteristics of our custom architectures we propose several high-level parallel optimal control schemes that can reduce computation time. A novel optimization formulation was devised for reducing the computational effort in solving certain problems independent of the computing platform used. In order to be able to solve optimization problems in fixed-point arithmetic, which is significantly more resource-efficient than floating-point, tailored linear algebra algorithms were developed for solving the linear systems that form the computational bottleneck in many optimization methods. These methods come with guarantees for reliable operation. We also provide finite-precision error analysis for fixed-point implementations of first-order methods that can be used to minimize the use of resources while meeting accuracy specifications. The suggested techniques are demonstrated on several practical examples, including a hardware-in-the-loop setup for optimization-based control of a large airliner.Open Acces

Low Power Memory/Memristor Devices and Systems

This reprint focusses on achieving low-power computation using memristive devices. The topic was designed as a convenient reference point: it contains a mix of techniques starting from the fundamental manufacturing of memristive devices all the way to applications such as physically unclonable functions, and also covers perspectives on, e.g., in-memory computing, which is inextricably linked with emerging memory devices such as memristors. Finally, the reprint contains a few articles representing how other communities (from typical CMOS design to photonics) are fighting on their own fronts in the quest towards low-power computation, as a comparison with the memristor literature. We hope that readers will enjoy discovering the articles within

Highly Automated Formal Verification of Arithmetic Circuits

This dissertation investigates the problems of two distinctive formal verification techniques for verifying large scale multiplier circuits and proposes two approaches to overcome some of these problems. The first technique is equivalence checking based on recurrence relations, while the second one is the symbolic computation technique which is based on the theory of Gröbner bases. This investigation demonstrates that approaches based on symbolic computation have better scalability and more robustness than state-of-the-art equivalence checking techniques for verification of arithmetic circuits. According to this conclusion, the thesis leverages the symbolic computation technique to verify floating-point designs. It proposes a new algebraic equivalence checking, in contrast to classical combinational equivalence checking, the proposed technique is capable of checking the equivalence of two circuits which have different architectures of arithmetic units as well as control logic parts, e.g., floating-point multipliers

Satisfiability-Based Methods for Digital Circuit Design, Debug, and Optimization

Designing digital circuits well is notoriously difficult. This difficulty stems in part from the very many degrees of freedom inherent in circuit design, typically coupled with the need to satisfy various constraints. In this thesis, we demonstrate how formulations of satisfiability problems can be used automatically to complete a design, or to find a specific design architecture that satisfies certain constraints; how these can be used to create, debug, and optimize designs; and introduce a domain-specific language particularly well-suited for satisfiability-assisted design, debug, and optimization. In the first application, we show how explicit uncertainties called âholesâ can both be natural to use and conducive to the creation of formal satisfiability problems useful for designing circuits. We further develop a Scala-hosted Domain Specific Language (DSL) with appropriate syntactic sugar to make design with holes easy and effective. We then show how, utilizing the same kind of satisfiability formulation, we can automatically instrument a given buggy design to replace suspicious syntax fragments with potentially-correct alternatives. The satisfiability solver then determines if there is any possible set of alternative fragments which fix the bug. We also demonstrate that this approach is reasonably scalable, in part because there is less need for a fully-precise specification in the formulation of the satisfiability problem. We then advance beyond mere hole-filling and show how a tight integration of design elaboration with satisfiability solvers allows totally new approaches. To point, we use this tight integration to create the first known methods to optimize Gate-Level Information Flow Track- ing (GLIFT) model circuits and to make principled trade-offs in their precision. Finally, integrating all the previous work, we propose a more powerful DSL specifically designed to address the shortcomings of the first âhole-fillingâ language. This language, which we call Nasadiya, affords more general integrations of satisfiability into circuit design and optimization, and provides built-in modeling functionality useful for optimizing extra-functional properties like critical path delay and circuit area. We demonstrate the utility of these features by implementing an automatic power optimizer for a popular type of parallel prefix adders

High-level power optimisation for Digital Signal Processing in Recon gurable Logic

This thesis is concerned with the optimisation of Digital Signal Processing (DSP) algorithm implementations on recon gurable hardware via the selection of appropriate word-lengths for the signals in these algorithms, in order to minimise system power consumption. Whilst existing word-length optimisation work has concentrated on the minimisation of the area of algorithm implementations, this work introduces the rst set of power consumption models that can be evaluated quickly enough to be used within the search of the enormous design space of multiple word-length optimisation problems. These models achieve their speed by estimating both the power consumed within the arithmetic components of an algorithm and the power in the routing wires that connect these components, using only a high-level description of the algorithm itself. Trading o a small reduction in power model accuracy for a large increase in speed is one of the major contributions of this thesis. In addition to the work on power consumption modelling, this thesis also develops a new technique for selecting the appropriate word-lengths for an algorithm implementation in order to minimise its cost in terms of power (or some other metric for which models are available). The method developed is able to provide tight lower and upper bounds on the optimal cost that can be obtained for a particular word-length optimisation problem and can, as a result, nd provably near-optimal solutions to word-length optimisation problems without resorting to an NP-hard search of the design space. Finally the costs of systems optimised via the proposed technique are compared to those obtainable by word-length optimisation for minimisation of other metrics (such as logic area) and the results compared, providing greater insight into the nature of wordlength optimisation problems and the extent of the improvements obtainable by them

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

Circuit design for logic automata

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2009.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Cataloged from student-submitted PDF version of thesis.Includes bibliographical references (p. 143-148).The Logic Automata model is a universal distributed computing structure which pushes parallelism to the bit-level extreme. This new model drastically differs from conventional computer architectures in that it exposes, rather than hides, the physics underlying the computation by accommodating data processing and storage in a local and distributed manner. Based on Logic Automata, highly scalable computing structures for digital and analog processing have been developed; and they are verified at the transistor level in this thesis. The Asynchronous Logic Automata (ALA) model is derived by adding the temporal locality, i.e., the asynchrony in data exchanges, in addition to the spacial locality of the Logic Automata model. As a demonstration of this incrementally extensible, clockless structure, we designed an ALA cell library in 90 nm CMOS technology and established a "pick-and-place" design flow for fast ALA circuit layout. The work flow gracefully aligns the description of computer programs and circuit realizations, providing a simpler and more scalable solution for Application Specific Integrated Circuit (ASIC) designs, which are currently limited by global constraints such as the clock and long interconnects. The potential of the ALA circuit design flow is tested with example applications for mathematical operations. The same Logic Automata model can also be augmented by relaxing the digital states into analog ones for interesting analog computations. The Analog Logic Automata (AnLA) model is a merge of the Analog Logic principle and the Logic Automata architecture, in which efficient processing is embedded onto a scalable construction.(cont.) In order to study the unique property of this mixed-signal computing structure, we designed and fabricated an AnLA test chip in AMI 0.5[mu]m CMOS technology. Chip tests of an AnLA Noise-Locked Loop (NLL) circuit as well as application tests of AnLA image processing and Error-Correcting Code (ECC) decoding, show large potential of the AnLA structure.by Kailiang Chen.S.M