Overview of Hydra: a concurrent language for synchronous digital circuit design

Hydra is a computer hardware description language that integrates several kinds of software tool (simulation, netlist generation and timing analysis) within a single circuit specification. The design language is inherently concurrent, and it offers black box abstraction and general design patterns that simplify the design of circuits with regular structure. Hydra specifications are concise, allowing the complete design of a computer system as a digital circuit within a few pages. This paper discusses the motivations behind Hydra, and illustrates the system with a significant portion of the design of a basic RISC processor

Unbounded Scalable Hardware Verification.

Model checking is a formal verification method that has been successfully applied to real-world hardware and software designs. Model checking tools, however, encounter the so-called state-explosion problem, since the size of the state spaces of such designs is exponential in the number of their state elements. In this thesis, we address this problem by exploiting the power of two complementary approaches: (a) counterexample-guided abstraction and refinement (CEGAR) of the design's datapath; and (b) the recently-introduced incremental induction algorithms for approximate reachability. These approaches are well-suited for the verification of control-centric properties in hardware designs consisting of wide datapaths and complex control logic. They also handle most complex design errors in typical hardware designs. Datapath abstraction prunes irrelevant bit-level details of datapath elements, thus greatly reducing the size of the state space that must be analyzed and allowing the verification to be focused on the control logic, where most errors originate. The induction-based approximate reachability algorithms offer the potential of significantly reducing the number of iterations needed to prove/disprove given properties by avoiding the implicit or explicit enumeration of reachable states. Our implementation of this verification framework, which we call the Averroes system, extends the approximate reachability algorithms at the bit level to first-order logic with equality and uninterpreted functions. To facilitate this extension, we formally define the solution space and state space of the abstract transition system produced by datapath abstraction. In addition, we develop an efficient way to represent sets of abstract solutions involving present- and next-states and a systematic way to project such solutions onto the space of just the present-state variables. To further increase the scalability of the Averroes verification system, we introduce the notion of structural abstraction, which extends datapath abstraction with two optimizations for better classification of state variables as either datapath or control, and with efficient memory abstraction techniques. We demonstrate the scalability of this approach by showing that Averroes significantly outperforms bit-level verification on a number of industrial benchmarks.PhDComputer Science and EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/133375/1/suholee_1.pd

Automatic Datapath Abstraction Of Pipelined Circuits

Pipelined circuits operate as an assembly line that starts processing new instructions while older ones continue execution. Control properties specify the correct behaviour of the pipeline with respect to how it handles the concurrency between instructions. Control properties stand out as one of the most challenging aspects of pipelined circuit verification. Their verification depends on the datapath and memories, which in practice account for the largest part of the state space of the circuit. To alleviate the state explosion problem, abstraction of memories and datapath becomes mandatory. This thesis provides a methodology for an efficient abstraction of the datapath under all possible control-visible behaviours. For verification of control properties, the abstracted datapath is then substituted in place of the original one and the control circuitry is left unchanged. With respect to control properties, the abstraction is shown conservative by both language containment and simulation. For verification of control properties, the pipeline datapath is represented by a network of registers, unrestricted combinational datapath blocks and muxes. The values flowing through the datapath are called parcels. The control is the state machine that steers the parcels through the network. As parcels travel through the pipeline, they undergo transformations through the datapath blocks. The control- visible results of these transformations fan-out into control variables which in turn influence the next stage the parcels are transferred to by the control. The semantics of the datapath is formalized as a labelled transition system called a parcel automaton. Parcel automata capture the set of all control visible paths through the pipeline and are derived without the need of reachability analysis of the original pipeline. Datapath abstraction is defined using familiar concepts such as language containment or simulation. We have proved results that show that datapath abstraction leads to pipeline abstraction. Our approach has been incorporated into a practical algorithm that yields directly the abstract parcel automaton, bypassing the construction of the concrete parcel automaton. The algorithm uses a SAT solver to generate incrementally all possible control visible behaviours of the pipeline datapath. Our largest case study is a 32-bit two-wide superscalar OpenRISC microprocessor written in VHDL, where it reduced the size of the implementation from 35k gates to 2k gates in less than 10 minutes while using less than 52MB of memory

Hardware Acceleration Using Functional Languages

Cílem této práce je prozkoumat možnosti využití funkcionálního paradigmatu pro hardwarovou akceleraci, konkrétně pro datově paralelní úlohy. Úroveň abstrakce tradičních jazyků pro popis hardwaru, jako VHDL a Verilog, přestáví stačit. Pro popis na algoritmické či behaviorální úrovni se rozmáhají jazyky původně navržené pro vývoj softwaru a modelování, jako C/C++, SystemC nebo MATLAB. Funkcionální jazyky se s těmi imperativními nemůžou měřit v rozšířenosti a oblíbenosti mezi programátory, přesto je předčí v mnoha vlastnostech, např. ve verifikovatelnosti, schopnosti zachytit inherentní paralelismus a v kompaktnosti kódu. Pro akceleraci datově paralelních výpočtů se často používají jednotky FPGA, grafické karty (GPU) a vícejádrové procesory. Praktická část této práce rozšiřuje existující knihovnu Accelerate pro počítání na grafických kartách o výstup do VHDL. Accelerate je možno chápat jako doménově specifický jazyk vestavěný do Haskellu s backendem pro prostředí NVIDIA CUDA. Rozšíření pro vysokoúrovňovou syntézu obvodů ve VHDL představené v této práci používá stejný jazyk a frontend.The aim of this thesis is to research how the functional paradigm can be used for hardware acceleration with an emphasis on data-parallel tasks. The level of abstraction of the traditional hardware description languages, such as VHDL or Verilog, is becoming to low. High-level languages from the domains of software development and modeling, such as C/C++, SystemC or MATLAB, are experiencing a boom for hardware description on the algorithmic or behavioral level. Functional Languages are not so commonly used, but they outperform imperative languages in verification, the ability to capture inherent paralellism and the compactness of code. Data-parallel task are often accelerated on FPGAs, GPUs and multicore processors. In this thesis, we use a library for general-purpose GPU programs called Accelerate and extend it to produce VHDL. Accelerate is a domain-specific language embedded into Haskell with a backend for the NVIDIA CUDA platform. We use the language and its frontend, and create a new backend for high-level synthesis of circuits in VHDL.

Doctor of Philosophy

dissertationFormal verification of hardware designs has become an essential component of the overall system design flow. The designs are generally modeled as finite state machines, on which property and equivalence checking problems are solved for verification. Reachability analysis forms the core of these techniques. However, increasing size and complexity of the circuits causes the state explosion problem. Abstraction is the key to tackling the scalability challenges. This dissertation presents new techniques for word-level abstraction with applications in sequential design verification. By bundling together k bit-level state-variables into one word-level constraint expression, the state-space is construed as solutions (variety) to a set of polynomial constraints (ideal), modeled over the finite (Galois) field of 2^k elements. Subsequently, techniques from algebraic geometry -- notably, Groebner basis theory and technology -- are researched to perform reachability analysis and verification of sequential circuits. This approach adds a "word-level dimension" to state-space abstraction and verification to make the process more efficient. While algebraic geometry provides powerful abstraction and reasoning capabilities, the algorithms exhibit high computational complexity. In the dissertation, we show that by analyzing the constraints, it is possible to obtain more insights about the polynomial ideals, which can be exploited to overcome the complexity. Using our algorithm design and implementations, we demonstrate how to perform reachability analysis of finite-state machines purely at the word level. Using this concept, we perform scalable verification of sequential arithmetic circuits. As contemporary approaches make use of resolution proofs and unsatisfiable cores for state-space abstraction, we introduce the algebraic geometry analog of unsatisfiable cores, and present algorithms to extract and refine unsatisfiable cores of polynomial ideals. Experiments are performed to demonstrate the efficacy of our approaches

hopCP: A concurrent hardware description language

Journal ArticlehopCP is a language for the specification, simulation, and synthesis of hardware systems. hopCP captures the behavior of a hardware system by specifying the causal relationships between actions that the system can perform. No specific timing discipline is implied by a hopCP specification. Hence, hopCP specifications can be implemented as synchronous, asynchronous, or mixed synchronous and asynchronous circuits. Salient features of hopCP include nonatomic actions, synchronous and asynchronous styles of value communication, broadcast channels, a purely functional sublanguage to express the computational aspects of hardware behavior, and an efficient tool (called parComp) to infer the composite behavior of a collection of hopCP modules. Operational Semantics of hopCP in terms of labeled transition systems is presented. A few examples are described to illustrate the expressive power of hopCP. A summary of the implementation is also presented

Design of asynchronous microprocessor for power proportionality

PhD ThesisMicroprocessors continue to get exponentially cheaper for end users following Moore’s law, while the costs involved in their design keep growing, also at an exponential rate. The reason is the ever increasing complexity of processors, which modern EDA tools struggle to keep up with. This makes further scaling for performance subject to a high risk in the reliability of the system. To keep this risk low, yet improve the performance, CPU designers try to optimise various parts of the processor. Instruction Set Architecture (ISA) is a significant part of the whole processor design flow, whose optimal design for a particular combination of available hardware resources and software requirements is crucial for building processors with high performance and efficient energy utilisation. This is a challenging task involving a lot of heuristics and high-level design decisions. Another issue impacting CPU reliability is continuous scaling for power consumption. For the last decades CPU designers have been mainly focused on improving performance, but “keeping energy and power consumption in mind”. The consequence of this was a development of energy-efficient systems, where energy was considered as a resource whose consumption should be optimised. As CMOS technology was progressing, with feature size decreasing and power delivered to circuit components becoming less stable, the energy resource turned from an optimisation criterion into a constraint, sometimes a critical one. At this point power proportionality becomes one of the most important aspects in system design. Developing methods and techniques which will address the problem of designing a power-proportional microprocessor, capable to adapt to varying operating conditions (such as low or even unstable voltage levels) and application requirements in the runtime, is one of today’s grand challenges. In this thesis this challenge is addressed by proposing a new design flow for the development of an ISA for microprocessors, which can be altered to suit a particular hardware platform or a specific operating mode. This flow uses an expressive and powerful formalism for the specification of processor instruction sets called the Conditional Partial Order Graph (CPOG). The CPOG model captures large sets of behavioural scenarios for a microarchitectural level in a computationally efficient form amenable to formal transformations for synthesis, verification and automated derivation of asynchronous hardware for the CPU microcontrol. The feasibility of the methodology, novel design flow and a number of optimisation techniques was proven in a full size asynchronous Intel 8051 microprocessor and its demonstrator silicon. The chip showed the ability to work in a wide range of operating voltage and environmental conditions. Depending on application requirements and power budget our ASIC supports several operating modes: one optimised for energy consumption and the other one for performance. This was achieved by extending a traditional datapath structure with an auxiliary control layer for adaptable and fault tolerant operation. These and other optimisations resulted in a reconfigurable and adaptable implementation, which was proven by measurements, analysis and evaluation of the chip.EPSR

Towards Verifying Nonlinear Integer Arithmetic

We eliminate a key roadblock to efficient verification of nonlinear integer arithmetic using CDCL SAT solvers, by showing how to construct short resolution proofs for many properties of the most widely used multiplier circuits. Such short proofs were conjectured not to exist. More precisely, we give n^{O(1)} size regular resolution proofs for arbitrary degree 2 identities on array, diagonal, and Booth multipliers and quasipolynomial- n^{O(\log n)} size proofs for these identities on Wallace tree multipliers.Comment: Expanded and simplified with improved result