Formal Hardware Verification

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.

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 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 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 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.

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

This book constitutes the refereed proceedings of the 14th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2008, held in Budapest, Hungary, in March/April 2008 as part of ETAPS 2008, the European Joint Conferences on Theory and Practice of Software. The 31 revised full research papers and 7 revised tool demonstration papers presented together with the abstract of an invited paper were carefully reviewed and selected from a total of 140 submissions. The papers are organized in topical sections on parameterized systems, model checking, applications, static analysis, concurrent/distributed systems, symbolic execution, abstraction, interpolation, trust, and reputation.