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.

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 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.

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 proceedings volume examines parameterized systems, model checking, applications, static analysis, concurrent/distributed systems, symbolic execution, abstraction, interpolation, trust, and reputation.

An essential introduction to the analysis and verification of control system software The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can cost people their lives. In this authoritative and accessible book, Pierre-Loïc Garoche provides control engineers and computer scientists with an indispensable introduction to the formal techniques for analyzing and verifying this important class of software. Too often, control engineers are unaware of the issues surrounding the verification of software, while computer scientists tend to be unfamiliar with the specificities of controller software. Garoche provides a unified approach that is geared to graduate students in both fields, covering formal verification methods as well as the design and verification of controllers. He presents a wealth of new verification techniques for performing exhaustive analysis of controller software. These include new means to compute nonlinear invariants, the use of convex optimization tools, and methods for dealing with numerical imprecisions such as floating point computations occurring in the analyzed software. As the autonomy of critical systems continues to increase—as evidenced by autonomous cars, drones, and satellites and landers—the numerical functions in these systems are growing ever more advanced. The techniques presented here are essential to support the formal analysis of the controller software being used in these new and emerging technologies.

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.

There are already many books on formal verification, from academic to application-centric, and from tutorials for beginners to guides for advanced users. Many are excellent for their intended purpose; we recommend a few at the end of this book. But most start from the assumption that you have already committed to becoming a hands-on expert (or in some cases that you already are an expert). We feel that detailed tutorials are not the easiest place to extract the introductory view many of us are looking for - background, a general idea of how methods work, applications and how formal verification is managed in the overall verification objective. Since we're writing for a fairly wide audience, we cover some topics that some of you may consider elementary (why verification is hard), some we hope will be of general interest (elementary understanding of the technology) and others that may not immediately interest some readers (setting up a formal verification team). What we intentionally do not cover at all is how to become a hands-on expert.

This book provides readers with a comprehensive introduction to the formal verification of hardware and software. World-leading experts from the domain of formal proof techniques show the latest developments starting from electronic system level (ESL) descriptions down to the register transfer level (RTL). The authors demonstrate at different abstraction layers how formal methods can help to ensure functional correctness. Coverage includes the latest academic research results, as well as descriptions of industrial tools and case studies.