Formal Verification of Floating-Point Hardware Design

Formal Verification of Floating-Point Hardware Design

Author: David M. Russinoff

Publisher: Springer

Published: 2018-09-12

Total Pages: 382

ISBN-13: 9783319955124

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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.


Formal Hardware Verification

Formal Hardware Verification

Author: Thomas Kropf

Publisher: Springer Science & Business Media

Published: 1997-08-27

Total Pages: 388

ISBN-13: 9783540634751

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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.


Hardware Design Verification

Hardware Design Verification

Author: William K. C. Lam

Publisher: Prentice Hall

Published: 2005

Total Pages: 585

ISBN-13: 9780131433472

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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.


Formal Verification

Formal Verification

Author: Erik Seligman

Publisher: Elsevier

Published: 2023-05-27

Total Pages: 426

ISBN-13: 0323956122

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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.


Formal Methods for Hardware Verification

Formal Methods for Hardware Verification

Author: Marco Bernardo

Publisher: Springer Science & Business Media

Published: 2006-05-15

Total Pages: 250

ISBN-13: 3540343040

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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.


Co-verification of Hardware and Software for ARM SoC Design

Co-verification of Hardware and Software for ARM SoC Design

Author: Jason Andrews

Publisher: Elsevier

Published: 2004-09-04

Total Pages: 287

ISBN-13: 0080476902

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Hardware/software co-verification is how to make sure that embedded system software works correctly with the hardware, and that the hardware has been properly designed to run the software successfully -before large sums are spent on prototypes or manufacturing. This is the first book to apply this verification technique to the rapidly growing field of embedded systems-on-a-chip(SoC). As traditional embedded system design evolves into single-chip design, embedded engineers must be armed with the necessary information to make educated decisions about which tools and methodology to deploy. SoC verification requires a mix of expertise from the disciplines of microprocessor and computer architecture, logic design and simulation, and C and Assembly language embedded software. Until now, the relevant information on how it all fits together has not been available. Andrews, a recognized expert, provides in-depth information about how co-verification really works, how to be successful using it, and pitfalls to avoid. He illustrates these concepts using concrete examples with the ARM core - a technology that has the dominant market share in embedded system product design. The companion CD-ROM contains all source code used in the design examples, a searchable e-book version, and useful design tools.* The only book on verification for systems-on-a-chip (SoC) on the market* Will save engineers and their companies time and money by showing them how to speed up the testing process, while still avoiding costly mistakes* Design examples use the ARM core, the dominant technology in SoC, and all the source code is included on the accompanying CD-Rom, so engineers can easily use it in their own designs


Hardware/Software Co-Design and Co-Verification

Hardware/Software Co-Design and Co-Verification

Author: Jean-Michel Bergé

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 178

ISBN-13: 1475726295

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Co-Design is the set of emerging techniques which allows for the simultaneous design of Hardware and Software. In many cases where the application is very demanding in terms of various performances (time, surface, power consumption), trade-offs between dedicated hardware and dedicated software are becoming increasingly difficult to decide upon in the early stages of a design. Verification techniques - such as simulation or proof techniques - that have proven necessary in the hardware design must be dramatically adapted to the simultaneous verification of Software and Hardware. Describing the latest tools available for both Co-Design and Co-Verification of systems, Hardware/Software Co-Design and Co-Verification offers a complete look at this evolving set of procedures for CAD environments. The book considers all trade-offs that have to be made when co-designing a system. Several models are presented for determining the optimum solution to any co-design problem, including partitioning, architecture synthesis and code generation. When deciding on trade-offs, one of the main factors to be considered is the flow of communication, especially to and from the outside world. This involves the modeling of communication protocols. An approach to the synthesis of interface circuits in the context of co-design is presented. Other chapters present a co-design oriented flexible component data-base and retrieval methods; a case study of an ethernet bridge, designed using LOTOS and co-design methodologies and finally a programmable user interface based on monitors. Hardware/Software Co-Design and Co-Verification will help designers and researchers to understand these latest techniques in system design and as such will be of interest to all involved in embedded system design.


Applied Formal Verification

Applied Formal Verification

Author: Douglas L. Perry

Publisher: McGraw Hill Professional

Published: 2005-05-10

Total Pages: 259

ISBN-13: 0071588892

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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


ASIC/SoC Functional Design Verification

ASIC/SoC Functional Design Verification

Author: Ashok B. Mehta

Publisher: Springer

Published: 2017-06-28

Total Pages: 346

ISBN-13: 3319594184

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This book describes in detail all required technologies and methodologies needed to create a comprehensive, functional design verification strategy and environment to tackle the toughest job of guaranteeing first-pass working silicon. The author first outlines all of the verification sub-fields at a high level, with just enough depth to allow an engineer to grasp the field before delving into its detail. He then describes in detail industry standard technologies such as UVM (Universal Verification Methodology), SVA (SystemVerilog Assertions), SFC (SystemVerilog Functional Coverage), CDV (Coverage Driven Verification), Low Power Verification (Unified Power Format UPF), AMS (Analog Mixed Signal) verification, Virtual Platform TLM2.0/ESL (Electronic System Level) methodology, Static Formal Verification, Logic Equivalency Check (LEC), Hardware Acceleration, Hardware Emulation, Hardware/Software Co-verification, Power Performance Area (PPA) analysis on a virtual platform, Reuse Methodology from Algorithm/ESL to RTL, and other overall methodologies.