Formal Verification of Floating-Point Hardware Design

Formal Verification of Floating-Point Hardware Design PDF Author: David M. Russinoff
Publisher: Springer
ISBN: 3319955136
Category : Technology & Engineering
Languages : en
Pages : 382

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Book Description
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 Verification of Floating-Point Hardware Design

Formal Verification of Floating-Point Hardware Design PDF Author: David M. Russinoff
Publisher: Springer
ISBN: 3319955136
Category : Technology & Engineering
Languages : en
Pages : 382

Get Book

Book Description
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 Verification of Floating-point Hardware Design

Formal Verification of Floating-point Hardware Design PDF Author: David Russinoff
Publisher:
ISBN: 9783319955148
Category : COMPUTERS
Languages : en
Pages : 382

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Book Description
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 Methods for Hardware Verification

Formal Methods for Hardware Verification PDF Author: Marco Bernardo
Publisher: Springer
ISBN: 3540343059
Category : Computers
Languages : en
Pages : 250

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Book Description
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 Design and Formal Verification of an Integrated Circuit for Use in a Floating-point Systolic Array Fast Fourier Transform Processor

The Design and Formal Verification of an Integrated Circuit for Use in a Floating-point Systolic Array Fast Fourier Transform Processor PDF Author: Peter E. DelVecchio
Publisher:
ISBN:
Category :
Languages : en
Pages : 438

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Book Description


Correct Hardware Design and Verification Methods

Correct Hardware Design and Verification Methods PDF Author: Daniel Geist
Publisher: Springer
ISBN: 3540397248
Category : Computers
Languages : en
Pages : 439

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Book Description
This book constitutes the refereed proceedings of the 12th IFIP WG 10.5 Advanced Research Working Conference on Correct Hardware Design and Verification Methods, CHARME 2003, held in L'Aquila, Italy in October 2003. The 24 revised full papers and 8 short papers presented were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on software verification, automata based methods, processor verification, specification methods, theorem proving, bounded model checking, and model checking and applications.

Handbook of Floating-Point Arithmetic

Handbook of Floating-Point Arithmetic PDF Author: Jean-Michel Muller
Publisher: Springer Science & Business Media
ISBN: 0817647058
Category : Mathematics
Languages : en
Pages : 579

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Book Description
Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.

Formal Verification

Formal Verification PDF Author: Erik Seligman
Publisher: Elsevier
ISBN: 0323956130
Category : Computers
Languages : en
Pages : 428

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Book Description
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

Formal Methods and Software Engineering

Formal Methods and Software Engineering PDF Author: Jin Song Dong
Publisher: Springer Science & Business Media
ISBN: 354020461X
Category : Computers
Languages : en
Pages : 693

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Book Description
This book constitutes the refereed proceedings of the 5th International Conference on Formal Engineering Methods, ICFEM 2003, held in Singapore in November 2003. The 34 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 91 submissions. The papers are organized in topical sections on testing and validation, state diagrams, PVS/HOL, refinement, hybrid systems, Z/Object-Z, Petri nets, timed automata, system modelling and checking, and semantics and synthesis.

VLSI Design and Test

VLSI Design and Test PDF Author: Anirban Sengupta
Publisher: Springer
ISBN: 9813297670
Category : Computers
Languages : en
Pages : 775

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Book Description
This book constitutes the refereed proceedings of the 23st International Symposium on VLSI Design and Test, VDAT 2019, held in Indore, India, in July 2019. The 63 full papers were carefully reviewed and selected from 199 submissions. The papers are organized in topical sections named: analog and mixed signal design; computing architecture and security; hardware design and optimization; low power VLSI and memory design; device modelling; and hardware implementation.

Introduction to Formal Hardware Verification

Introduction to Formal Hardware Verification PDF Author: Thomas Kropf
Publisher: Springer Science & Business Media
ISBN: 3662038099
Category : Computers
Languages : en
Pages : 309

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Book Description
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.