Formal Verification Of Hardware Design

This is the first book to focus on the problem of ensuring the correctness of floating-point hardware designs through mathematical methods. Formal Verification of Floating-Point Hardware Design advances a verification methodology based on a unified theory of register-transfer logic and floating-point arithmetic that has been developed and applied to the formal verification of commercial floating-point units over the course of more than two decades, during which the author was employed by several major microprocessor design companies. The book consists of five parts, the first two of which present a rigorous exposition of the general theory based on the first principles of arithmetic. Part I covers bit vectors and the bit manipulation primitives, integer and fixed-point encodings, and bit-wise logical operations. Part II addresses the properties of floating-point numbers, the formats in which they are encoded as bit vectors, and the various modes of floating-point rounding. In Part III, the theory is extended to the analysis of several algorithms and optimization techniques that are commonly used in commercial implementations of elementary arithmetic operations. As a basis for the formal verification of such implementations, Part IV contains high-level specifications of correctness of the basic arithmetic instructions of several major industry-standard floating-point architectures, including all details pertaining to the handling of exceptional conditions. Part V illustrates the methodology, applying the preceding theory to the comprehensive verification of a state-of-the-art commercial floating-point unit. All of these results have been formalized in the logic of the ACL2 theorem prover and mechanically checked to ensure their correctness. They are presented here, however, in simple conventional mathematical notation. The book presupposes no familiarity with ACL2, logic design, or any mathematics beyond basic high school algebra. It will be of interest to verification engineers as well as arithmetic circuit designers who appreciate the value of a rigorous approach to their art, and is suitable as a graduate text in computer arithmetic.

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.

This book presents 8 papers accompanying the lectures of leading researchers given at the 6th edition of the International School on Formal Methods for the Design of Computer, Communication and Software Systems (SFM 2006). SFM 2006 was devoted to formal techniques for hardware verification and covers several aspects of the hardware design process, including hardware design languages and simulation, property specification formalisms, automatic test pattern generation, symbolic trajectory evaluation, and more.

The Practical, Start-to-Finish Guide to Modern Digital Design Verification As digital logic designs grow larger and more complex, functional verification has become the number one bottleneck in the design process. Reducing verification time is crucial to project success, yet many practicing engineers have had little formal training in verification, and little exposure to the newest solutions.Hardware Design Verificationsystematically presents today's most valuable simulation-based and formal verification techniques, helping test and design engineers choose the best approach for each project, quickly gain confidence in their designs, and move into fabrication far more rapidly. College students will find that coverage of verification principles and common industry practices will help them prepare for jobs as future verification engineers. Author William K. Lam, one of the world's leading experts in design verification, is a recent winner of the Chairman's Award for Innovation, Sun Microsystems' most prestigious technical achievement award. Drawing on his wide-ranging experience, he introduces the foundational principles of verification, presents traditional techniques that have survived the test of time, and introduces emerging techniques for today's most challenging designs. Throughout, Lam emphasizes practical examples rather than mathematical proofs; wherever advanced math is essential, he explains it clearly and accessibly. Coverage includes Simulation-based versus formal verification: advantages, disadvantages, and tradeoffs Coding for verification: functional and timing correctness, syntactical and structure checks, simulation performance, and more Simulator architectures and operations, including event-driven, cycle-based, hybrid, and hardware-based simulators Testbench organization, design, and tools: creating a fast, efficient test environment Test scenarios and assertion: planning, test cases, test generators, commercial and Verilog assertions, and more Ensuring complete coverage, including code, parameters, functions, items, and cross-coverage The verification cycle: failure capture, scope reduction, bug tracking, simulation data dumping, isolation of underlying causes, revision control, regression, release mechanisms, and tape-out criteria An accessible introduction to the mathematics and algorithms of formal verification, from Boolean functions to state-machine equivalence and graph algorithms Decision diagrams, equivalence checking, and symbolic simulation Model checking and symbolic computation Simply put,Hardware Design Verificationwill help you improve and accelerate your entire verification process--from planning through tape-out--so you can get to market faster with higher quality designs.

This advanced textbook presents an almost complete overview of techniques for hardware verification. It covers all approaches used in existing tools, such as binary and word-level decision diagrams, symbolic methods for equivalence and temporal logic model checking, and introduces the use of higher-order logic theorem proving for verifying circuit correctness. Each chapter contains an introduction and a summary as well as a section for the advanced reader, aiding an understanding of the advantages and limitations of each technique. Backed by many examples and illustrations, this text will appeal to a broad audience, from beginners in system design to experts. XXXXXXX Neuer Text This is a complete overview of existing techniques for hardware verification. It covers all approaches used in existing verification tools, such as symbolic methods for equivalence checking, temporal logic model checking, and higher-order logic theorem proving for verifying circuit correctness. The book helps readers to understand the advantages and limitations of each technique. Each chapter contains a summary as well as a section for the advanced reader.

Formal methods for hardware design still find limited use in industry. Yet current practice has to change to cope with decreasing design times and increasing quality requirements. This research report presents results from the Esprit project FORMAT (formal methods in hardware verification) which involved the collaboration of the enterprises Siemens, Italtel, Telefonica I+D, TGI, and AHL, the research institute OFFIS, and the universities of Madrid and Passau. The work presented involves advanced specification languages for hardware design that are intuitive to the designer, like timing diagrams and state based languages, as well as their relation to VHDL and formal languages like temporal logic and a process-algebraic calculus. The results of experimental tests of the tools are also presented.

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. Every chapter in the second edition has been updated to reflect evolving FV practices and advanced techniques. In addition, a new chapter, Formal Signoff on Real Projects, provides guidelines for implementing signoff quality FV, completely replacing some simulation tasks with significantly more productive FV methods. 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. Covers formal verification algorithms that help users gain full coverage without exhaustive simulation Helps readers understand formal verification tools and how they differ from simulation tools Shows how to create instant testbenches to gain insights into how models work and to find initial bugs Presents insights from Intel insiders who share their hard-won knowledge and solutions to complex design problems