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Graduate level account of hardware verification and algebraic specification.
Formal verification is a powerful new digital design method. In this cutting-edge tutorial, two of the field's best known authors team up to show designers how to efficiently apply Formal Verification, along with hardware description languages like Verilog and VHDL, to more efficiently solve real-world design problems. Contents: Simulation-Based Verification * Introduction to Formal Techniques * Contrasting Simulation vs. Formal Techniques * Developing a Formal Test Plan * Writing High-Level Requirements * Proving High-Level Requirements * System Level Simulation * Design Example * Formal Test Plan * Final System Simulation
Integrated circuit capacity follows Moore's law, and chips are commonly produced at the time of this writing with over 70 million gates per device. Ensuring correct functional behavior of such large designs before fabrication poses an extremely challenging problem. Formal verification validates the correctness of the implementation of a design with respect to its specification through mathematical proof techniques. Formal techniques have been emerging as commercialized EDA tools in the past decade. Simulation remains a predominantly used tool to validate a design in industry. After more than 50 years of development, simulation methods have reached a degree of maturity, however, new advances continue to be developed in the area. A simulation approach for functional verification can theoretically validate all possible behaviors of a design but requires excessive computational resources. Rapidly evolving markets demand short design cycles while the increasing complexity of a design causes simulation approaches to provide less and less coverage. Formal verification is an attractive alternative since 100% coverage can be achieved; however, large designs impose unrealistic computational requirements. Combining formal verification and simulation into a single integrated circuit validation framework is an attractive alternative. This book focuses on an Integrated Design Validation (IDV) system that provides a framework for design validation and takes advantage of current technology in the areas of simulation and formal verification resulting in a practical validation engine with reasonable runtime. After surveying the basic principles of formal verification and simulation, this book describes the IDV approach to integrated circuit functional validation. Table of Contents: Introduction / Formal Methods Background / Simulation Approaches / Integrated Design Validation System / Conclusion and Summary
Formal verification has become one of the most important steps in circuit design. Since circuits can contain several million transistors, verification of such large designs becomes more and more difficult. Pure simulation cannot guarantee the correct behavior and exhaustive simulation is often impossible. However, many designs, like ALUs, have very regular structures that can be easily described at a higher level of abstraction. For example, describing (and verifying) an integer multiplier at the bit-level is very difficult, while the verification becomes easy when the outputs are grouped to build a bit-string. Recently, several approaches for formal circuit verification have been proposed that make use of these regularities. These approaches are based on Word-Level Decision Diagrams (WLDDs) which are graph-based representations of functions (similar to BDDs) that allow for the representation of functions with a Boolean range and an integer domain. Formal Verification of Circuits is devoted to the discussion of recent developments in the field of decision diagram-based formal verification. Firstly, different types of decision diagrams (including WLDDs) are introduced and theoretical properties are discussed that give further insight into the data structure. Secondly, implementation and minimization concepts are presented. Applications to arithmetic circuit verification and verification of designs specified by hardware description languages are described to show how WLDDs work in practice. Formal Verification of Circuits is intended for CAD developers and researchers as well as designers using modern verification tools. It will help people working with formal verification (in industry or academia) to keep informed about recent developments in this area.
Perhaps nothing characterizes the inherent heterogeneity in embedded sys tems than the ability to choose between hardware and software implementations of a given system function. Indeed, most embedded systems at their core repre sent a careful division and design of hardware and software parts of the system To do this task effectively, models and methods are necessary functionality. to capture application behavior, needs and system implementation constraints. Formal modeling can be valuable in addressing these tasks. As with most engineering domains, co-design practice defines the state of the it seeks to add new capabilities in system conceptualization, mod art, though eling, optimization and implementation. These advances -particularly those related to synthesis and verification tasks -direct1y depend upon formal under standing of system behavior and performance measures. Current practice in system modeling relies upon exploiting high-level programming frameworks, such as SystemC, EstereI, to capture design at increasingly higher levels of ab straction and attempts to reduce the system implementation task. While raising the abstraction levels for design and verification tasks, to be really useful, these approaches must also provide for reuse, adaptation of the existing intellectual property (IP) blocks.
This state-of-the-art monograph presents a coherent survey of a variety of methods and systems for formal hardware verification. It emphasizes the presentation of approaches that have matured into tools and systems usable for the actual verification of nontrivial circuits. All in all, the book is a representative and well-structured survey on the success and future potential of formal methods in proving the correctness of circuits. The various chapters describe the respective approaches supplying theoretical foundations as well as taking into account the application viewpoint. By applying all methods and systems presented to the same set of IFIP WG10.5 hardware verification examples, a valuable and fair analysis of the strenghts and weaknesses of the various approaches is given.
An embedded system is loosely defined as any system that utilizes electronics but is not perceived or used as a general-purpose computer. Traditionally, one or more electronic circuits or microprocessors are literally embedded in the system, either taking up roles that used to be performed by mechanical devices, or providing functionality that is not otherwise possible. The goal of this book is to investigate how formal methods can be applied to the domain of embedded system design. The emphasis is on the specification, representation, validation, and design exploration of such systems from a high-level perspective. The authors review the framework upon which the theories and experiments are based, and through which the formal methods are linked to synthesis and simulation. A formal verification methodology is formulated to verify general properties of the designs and demonstrate that this methodology is efficient in dealing with the problem of complexity and effective in finding bugs. However, manual intervention in the form of abstraction selection and separation of timing and functionality is required. It is conjectured that, for specific properties, efficient algorithms exist for completely automatic formal validations of systems. Synchronous Equivalence: Formal Methods for Embedded Systems presents a brand new formal approach to high-level equivalence analysis. It opens design exploration avenues previously uncharted. It is a work that can stand alone but at the same time is fully compatible with the synthesis and simulation framework described in another book by Kluwer Academic Publishers Hardware-Software Co-Design of Embedded Systems: The POLIS Approach, by Balarin et al. Synchronous Equivalence: Formal Methods for Embedded Systems will be of interest to embedded system designers (automotive electronics, consumer electronics, and telecommunications), micro-controller designers, CAD developers and students, as well as IP providers, architecture platform designers, operating system providers, and designers of VLSI circuits and systems.
A Formal Approach to Hardware Design discusses designing computations to be realised by application specific hardware. It introduces a formal design approach based on a high-level design language called Synchronized Transitions. The models created using Synchronized Transitions enable the designer to perform different kinds of analysis and verification based on descriptions in a single language. It is, for example, possible to use exactly the same design description both for mechanically supported verification and synthesis. Synchronized Transitions is supported by a collection of public domain CAD tools. These tools can be used with the book in presenting a course on the subject. A Formal Approach to Hardware Design illustrates the benefits to be gained from adopting such techniques, but it does so without assuming prior knowledge of formal design methods. The book is thus not only an excellent reference, it is also suitable for use by students and practitioners.
Formal Verification: An Essential Toolkit for Modern VLSI Design, Second Edition presents practical approaches for design and validation, with hands-on advice to help working engineers integrate these techniques into their work. Formal Verification (FV) enables a designer to directly analyze and mathematically explore the quality or other aspects of a Register Transfer Level (RTL) design without using simulations. This can reduce time spent validating designs and more quickly reach a final design for manufacturing. Building on a basic knowledge of SystemVerilog, this book demystifies FV and presents the practical applications that are bringing it into mainstream design and validation processes. New sections cover advanced techniques, and a new chapter, The Road To Formal Signoff, emphasizes techniques used when replacing simulation work with Formal Verification. After reading this book, readers will be prepared to introduce FV in their organization to effectively deploy FV techniques that increase design and validation productivity.
This volume contains two distinct, but related, approaches to the verification problem, both based on symbolic simulation. It describes new ideas that enable the use of formal methods, specifically symbolic simulation, in validating commercial hardware designs of remarkable complexity.