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Formal Verification Of Floating Point Hardware Design
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Book Synopsis Formal Verification of Floating-Point Hardware Design by : David M. Russinoff
Download or read book Formal Verification of Floating-Point Hardware Design written by David M. Russinoff and published by Springer. This book was released on 2018-09-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Verification of Floating-Point Hardware Design by : David M. Russinoff
Download or read book Formal Verification of Floating-Point Hardware Design written by David M. Russinoff and published by Springer. This book was released on 2018-10-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Methods for Hardware Verification by : Marco Bernardo
Download or read book Formal Methods for Hardware Verification written by Marco Bernardo and published by Springer Science & Business Media. This book was released on 2006-05-15 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Verification of Floating-Point Hardware Design by : David M. Russinoff
Download or read book Formal Verification of Floating-Point Hardware Design written by David M. Russinoff and published by Springer Nature. This book was released on 2022-03-03 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Handbook of Floating-Point Arithmetic by : Jean-Michel Muller
Download or read book Handbook of Floating-Point Arithmetic written by Jean-Michel Muller and published by Springer Science & Business Media. This book was released on 2009-11-11 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Verification of Control System Software by : Pierre-Loïc Garoche
Download or read book Formal Verification of Control System Software written by Pierre-Loïc Garoche and published by Princeton University Press. This book was released on 2019-05-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Verification of Floating-Point Hardware Design by : David M. Russinoff
Download or read book Formal Verification of Floating-Point Hardware Design written by David M. Russinoff and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Methods and Software Engineering by : Jin Song Dong
Download or read book Formal Methods and Software Engineering written by Jin Song Dong and published by Springer Science & Business Media. This book was released on 2003-10-27 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis VLSI Design and Test by : Anirban Sengupta
Download or read book VLSI Design and Test written by Anirban Sengupta and published by Springer. This book was released on 2019-08-17 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Roadmap for Formal Property Verification by : Pallab Dasgupta
Download or read book A Roadmap for Formal Property Verification written by Pallab Dasgupta and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrating formal property verification (FPV) into an existing design process raises several interesting questions. This book develops the answers to these questions and fits them into a roadmap for formal property verification – a roadmap that shows how to glue FPV technology into the traditional validation flow. The book explores the key issues in this powerful technology through simple examples that mostly require no background on formal methods.
Book Synopsis Formal Hardware Verification by : Thomas Kropf
Download or read book Formal Hardware Verification written by Thomas Kropf and published by Springer Science & Business Media. This book was released on 1997-08-27 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formal Methods: Applications and Technology by : Lubos Brim
Download or read book Formal Methods: Applications and Technology written by Lubos Brim and published by Springer. This book was released on 2007-06-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed joint post-proceedings of the two International Workshops on Formal Methods for Industrial Critical Systems, FMICS 2006, and on Parallel and Distributed Methods in Verification, PDMC 2006, held in Bonn, Germany in August 2006 in the course of the 17th International Conference on Concurrency Theory, CONCUR 2006.
Book Synopsis Integrated Formal Methods by : Eerke Boiten
Download or read book Integrated Formal Methods written by Eerke Boiten and published by Springer. This book was released on 2004-03-05 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth conference in the series of international meetings on Integrated F- mal Methods, IFM, was held in Canterbury, UK, 4–7 April 2004. The conference was organized by the Computing Laboratory at the University of Kent, whose main campus is just outside the ancient town of Canterbury, part of the county of Kent. Kent is situated in the southeast of England, and the university sits on a hill overlooking the city of Canterbury and its world-renowned cathedral. The UniversityofKentwasgranteditsRoyalCharterin1965.Todaytherearealmost 10,000 full-time and part-time students, with over 110 nationalities represented. The IFM meetings have proven to be particularly successful. The ?rst m- ting was held in York in 1999, and subsequently we held events in Germany in 2000, and then Finland in 2002. The conferences are held every 18 months or so, and attract a wide range of participants from Europe, the Americas, Asia and Australia. The conference is now ?rmly part of the formal methods conference calendar. The conference has also evolved in terms of themes and subjects - presented, and this year, in line with the subject as a whole, we saw more work on veri?cation as some of the challenges in this subject are being met. The work reported at IFM conferences can be seen as part of the attempt to manage complexity by combining paradigms of speci?cation and design, so that the most appropriate design tools are used at di?erent points in the life-cycle.
Book Synopsis Computer Organization and Design RISC-V Edition by : David A. Patterson
Download or read book Computer Organization and Design RISC-V Edition written by David A. Patterson and published by Morgan Kaufmann. This book was released on 2017-05-12 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new RISC-V Edition of Computer Organization and Design features the RISC-V open source instruction set architecture, the first open source architecture designed to be used in modern computing environments such as cloud computing, mobile devices, and other embedded systems. With the post-PC era now upon us, Computer Organization and Design moves forward to explore this generational change with examples, exercises, and material highlighting the emergence of mobile computing and the Cloud. Updated content featuring tablet computers, Cloud infrastructure, and the x86 (cloud computing) and ARM (mobile computing devices) architectures is included. An online companion Web site provides advanced content for further study, appendices, glossary, references, and recommended reading. - Features RISC-V, the first such architecture designed to be used in modern computing environments, such as cloud computing, mobile devices, and other embedded systems - Includes relevant examples, exercises, and material highlighting the emergence of mobile computing and the cloud
Book Synopsis Certified Programming with Dependent Types by : Adam Chlipala
Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2013-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Book Synopsis PROCEEDINGS OF THE 21ST CONFERENCE ON FORMAL METHODS IN COMPUTER-AIDED DESIGN – FMCAD 2021 by : Michael W. Whalen
Download or read book PROCEEDINGS OF THE 21ST CONFERENCE ON FORMAL METHODS IN COMPUTER-AIDED DESIGN – FMCAD 2021 written by Michael W. Whalen and published by TU Wien Academic Press. This book was released on 2021-10-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our life is dominated by hardware: a USB stick, the processor in our laptops or the SIM card in our smart phone. But who or what makes sure that these systems work stably, safely and securely from the word go? The computer - with a little help from humans. The overall name for this is CAD (computer-aided design), and it’s become hard to imagine our modern industrial world without it. So how can we be sure that the hardware and computer systems we use are reliable? By using formal methods: these are techniques and tools to calculate whether a system description is in itself consistent or whether requirements have been developed and implemented correctly. Or to put it another way: they can be used to check the safety and security of hardware and software. Just how this works in real life was also of interest at the annual conference on "Formal Methods in Computer-Aided Design (FMCAD)". Under the direction of Ruzica Piskac and Michael Whalen, the 21st Conference in October 2021 addressed the results of the latest research in the field of formal methods. A volume of conference proceedings with over 30 articles covering a wide range of formal methods has now been published for this online conference: starting from the verification of hardware, parallel and distributed systems as well as neuronal networks, right through to machine learning and decision-making procedures. This volume provides a fascinating insight into revolutionary methods, technologies, theoretical results and tools for formal logic in computer systems and system developments.
Book Synopsis Design and Verification of Microprocessor Systems for High-Assurance Applications by : David S. Hardin
Download or read book Design and Verification of Microprocessor Systems for High-Assurance Applications written by David S. Hardin and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
