Formal Verification Of Floating Point Hardware Design
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Formal Verification Of Floating Point Hardware Design
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Author : David M. Russinoff
language : en
Publisher: Springer
Release Date : 2018-10-13
Formal Verification Of Floating Point Hardware Design written by David M. Russinoff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-13 with Technology & Engineering categories.
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
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Author : David M. Russinoff
language : en
Publisher: Springer Nature
Release Date : 2022-03-03
Formal Verification Of Floating Point Hardware Design written by David M. Russinoff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Computers categories.
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, Second Edition 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 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, high-level specifications of the basic arithmetic instructions of several major industry-standard floating-point architectures are presented, including all details pertaining to the handling of exceptional conditions. The methodology is illustrated in the comprehensive verification of a variety of state-of-the-art commercial floating-point designs developed by Arm Holdings. This revised edition reflects the evolving microarchitectures and increasing sophistication of Arm processors, and the variation in the design goals of execution speed, hardware area requirements, and power consumption. Many new results have been added to Parts I—III (Register-Transfer Logic, Floating-Point Arithmetic, and Implementation of Elementary Operations), extending the theory and describing new techniques. These were derived as required in the verification of the new RTL designs described in Part V.
Formal Verification Of Floating Point Hardware Design
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Author : David Russinoff
language : en
Publisher:
Release Date : 2019
Formal Verification Of Floating Point Hardware Design written by David Russinoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with COMPUTERS categories.
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
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Author : David M. Russinoff
language : en
Publisher:
Release Date : 2022
Formal Verification Of Floating Point Hardware Design written by David M. Russinoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
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, Second Edition 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 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, high-level specifications of the basic arithmetic instructions of several major industry-standard floating-point architectures are presented, including all details pertaining to the handling of exceptional conditions. The methodology is illustrated in the comprehensive verification of a variety of state-of-the-art commercial floating-point designs developed by Arm Holdings. This revised edition reflects the evolving microarchitectures and increasing sophistication of Arm processors, and the variation in the design goals of execution speed, hardware area requirements, and power consumption. Many new results have been added to Parts I-III (Register-Transfer Logic, Floating-Point Arithmetic, and Implementation of Elementary Operations), extending the theory and describing new techniques. These were derived as required in the verification of the new RTL designs described in Part V.
Correct Hardware Design And Verification Methods
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Author : Tiziana Margaria
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-27
Correct Hardware Design And Verification Methods written by Tiziana Margaria and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-27 with Computers categories.
This book constitutes the refereed proceedings of the 11th IFIP WG 10.5 Advanced Research Working Conference on Correct Hardware Design and Verification Methods, CHARME 2001, held in Livingston, Scotland, UK in September 2001. The 28 revised full papers and eight short papers presented together with two invited papers and one special paper were carefully reviewed and selected from 56 submissions. The book offers topical sections on model checking, clocking issues, theorem proving with higher order logics, hardware compilation, tools, component verification, case studies, algorithm verification, and duration calculus.
Handbook Of Floating Point Arithmetic
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Author : Jean-Michel Muller
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-11
Handbook Of Floating Point Arithmetic written by Jean-Michel Muller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-11 with Mathematics categories.
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 Methods For Hardware Verification
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Author : Marco Bernardo
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-15
Formal Methods For Hardware Verification written by Marco Bernardo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-15 with Computers categories.
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.
Formal Methods And Software Engineering
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Author : Jin Song Dong
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-27
Formal Methods And Software Engineering written by Jin Song Dong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-27 with Computers categories.
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.
Design And Verification Of Microprocessor Systems For High Assurance Applications
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Author : David S. Hardin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-02
Design And Verification Of Microprocessor Systems For High Assurance Applications written by David S. Hardin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-02 with Technology & Engineering categories.
Microprocessors increasingly control and monitor our most critical systems, including automobiles, airliners, medical systems, transportation grids, and defense systems. The relentless march of semiconductor process technology has given engineers exponentially increasing transistor budgets at constant recurring cost. This has encouraged increased functional integration onto a single die, as well as increased architectural sophistication of the functional units themselves. Additionally, design cycle times are decreasing, thus putting increased schedule pressure on engineers. Not surprisingly, this environment has led to a number of uncaught design flaws. Traditional simulation-based design verification has not kept up with the scale or pace of modern microprocessor system design. Formal verification methods offer the promise of improved bug-finding capability, as well as the ability to establish functional correctness of a detailed design relative to a high-level specification. However, widespread use of formal methods has had to await breakthroughs in automated reasoning, integration with engineering design languages and processes, scalability, and usability. This book presents several breakthrough design and verification techniques that allow these powerful formal methods to be employed in the real world of high-assurance microprocessor system design.
Correct Hardware Design And Verification Methods
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Author : Daniel Geist
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-10
Correct Hardware Design And Verification Methods written by Daniel Geist and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-10 with Computers categories.
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.