Improving Amulet2 For Verifying Multiplier Circuits Using Sat Solving And Computer Algebra
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Improving Amulet2 For Verifying Multiplier Circuits Using Sat Solving And Computer Algebra
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Author : Daniela Kaufmann
language : en
Publisher:
Release Date : 2023
Improving Amulet2 For Verifying Multiplier Circuits Using Sat Solving And Computer Algebra written by Daniela Kaufmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
Abstract: Verifying arithmetic circuits and most prominently multiplier circuits is an important problem which in practice is still considered to be challenging. One of the currently most successful verification techniques relies on algebraic reasoning. In this article, we present AMULET2, a fully automatic tool for verification of integer multipliers combining SAT solving and computer algebra. Our tool models multipliers given as and-inverter graphs as a set of polynomials and applies preprocessing techniques based on elimination theory of Gröbner bases. Finally, it uses a polynomial reduction algorithm to verify the correctness of the given circuit. AMULET2 is a re-factorization and improved re-implementation of our previous verification tool AMULET1 and cannot only be used as a stand-alone tool but also serves as a polynomial reasoning framework. We present a novel XOR-based slicing approach and discuss improvements on the data structures including monomial sharing
Hardware Design And Petri Nets
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Author : Alex Yakovlev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Hardware Design And Petri Nets written by Alex Yakovlev 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 2013-04-17 with Technology & Engineering categories.
Hardware Design and Petri Nets presents a summary of the state of the art in the applications of Petri nets to designing digital systems and circuits. The area of hardware design has traditionally been a fertile field for research in concurrency and Petri nets. Many new ideas about modelling and analysis of concurrent systems, and Petri nets in particular, originated in theory of asynchronous digital circuits. Similarly, the theory and practice of digital circuit design have always recognized Petri nets as a powerful and easy-to-understand modelling tool. The ever-growing demand in the electronic industry for design automation to build various types of computer-based systems creates many opportunities for Petri nets to establish their role of a formal backbone in future tools for constructing systems that are increasingly becoming distributed, concurrent and asynchronous. Petri nets have already proved very effective in supporting algorithms for solving key problems in synthesis of hardware control circuits. However, since the front end to any realistic design flow in the future is likely to rely on more pragmatic Hardware Description Languages (HDLs), such as VHDL and Verilog, it is crucial that Petri nets are well interfaced to such languages. Hardware Design and Petri Nets is divided into five parts, which cover aspects of behavioral modelling, analysis and verification, synthesis from Petri nets and STGs, design environments based on high-level Petri nets and HDLs, and finally performance analysis using Petri nets. Hardware Design and Petri Nets serves as an excellent reference source and may be used as a text for advanced courses on the subject.
Handbook Of Satisfiability
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Author : A. Biere
language : en
Publisher: IOS Press
Release Date : 2021-05-05
Handbook Of Satisfiability written by A. Biere and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-05 with Computers categories.
Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"
Formal Methods In Computer Aided Design
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Author : Alan J. Hu
language : en
Publisher: Springer
Release Date : 2005-01-18
Formal Methods In Computer Aided Design written by Alan J. Hu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-18 with Computers categories.
These are the proceedings of the fifth international conference, Formal Methods in Computer-Aided Design (FMCAD), held 15-17 November 2004 in Austin, Texas, USA. The conference provides a forum for presenting state-of-the-art tools, methods, algorithms, and theory for the application of formalized reasoning to all aspects of computer-aided system design, including specification, verification, synthesis, and testing. FMCAD's heritage dates back 20 years to some of the earliest conferences on the subject of formal reasoning and computer-aided design. Since 1996,FMCAD has assumed its present form, held biennially in North America, alternating with its sister conference CHARME in Europe. We are delighted to report that our research community continues to flourish: we received 69 paper submissions, with many more high-quality papers than we had room to accept. After a rigorous review process, in which each paper received at least three, and typically four or more, independent reviews, we accepted 29 papers for the conference and inclusion in this volume. The conference also included invited talks from Greg Spirakis of Intel Corporation and Wayne Wolf of Princeton University. A conference of this size requires the contributions of numerous people. On the technical side, we are grateful to the program committee and the additional reviewers for their countless hours reviewing submissions and ensuring the intellectual quality of the conference. We would also like to thank the steering committee for their wisdom and guidance. On the logistical side, we thank Christa Mace for designing our website and attending to countless organizational tasks. And we thank our corporate sponsors - AMD, IBM, Intel, and Synopsys - for financial support that helped make this conference possible.
Art Of Reasoning An Introduction To Logic And Critical Thinking
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Author : David Kelley
language : en
Publisher: W. W. Norton
Release Date : 2013-10
Art Of Reasoning An Introduction To Logic And Critical Thinking written by David Kelley and has been published by W. W. Norton this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10 with Philosophy categories.
Students learn logic by practicing it by working through problems, analyzing existing arguments, and constructing their own arguments in plain language and symbolic notation. The Art of Reasoning not only introduces the principles of critical thinking and logic in a clear, accessible, and logical manner thus practicing what it preaches but it also provides ample opportunity for students to hone their skills and master course content.
Model Checking
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Author : Edmund M. Clarke
language : en
Publisher: MIT Press
Release Date : 1999
Model Checking written by Edmund M. Clarke and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
This presentation of the theory and practice of model checking includes basic as well as state-of-the-art techniques, algorithms and tools, and can be used as an introduction to the subject or a reference for researchers.
Computer Arithmetic
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Author : Behrooz Parhami
language : en
Publisher: Oxford University Press, USA
Release Date : 2010
Computer Arithmetic written by Behrooz Parhami and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Algorithms categories.
Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics-including techniques for high-throughput, low-power, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future. An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic.
Ultra Low Voltage Nano Scale Memories
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Author : Kiyoo Itoh
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-04
Ultra Low Voltage Nano Scale Memories written by Kiyoo Itoh 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 2007-09-04 with Technology & Engineering categories.
Ultra-low voltage large-scale integrated circuits (LSIs) in nano-scale technologies are needed both to meet the needs of a rapidly growing mobile cell phone market and to offset a significant increase in the power dissipation of high-end microprocessor units. The goal of this book is to provide a detailed explanation of the state-of-the-art nanometer and sub-1-V memory LSIs that are playing decisive roles in power conscious systems. Emerging problems between the device, circuit, and system levels are systematically discussed in terms of reliable high-speed operations of memory cells and peripheral logic circuits. The effectiveness of solutions at device and circuit levels is also described at length through clarifying noise components in an array, and even essential differences in ultra-low voltage operations between DRAMs and SRAMs.
Formal Verification Of Circuits
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Author : Rolf Drechsler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Formal Verification Of Circuits written by Rolf Drechsler 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 2013-03-09 with Computers categories.
Formal verification has become one of the most important steps in circuit design. Since circuits can contain several million transistors, verification of such large designs becomes more and more difficult. Pure simulation cannot guarantee the correct behavior and exhaustive simulation is often impossible. However, many designs, like ALUs, have very regular structures that can be easily described at a higher level of abstraction. For example, describing (and verifying) an integer multiplier at the bit-level is very difficult, while the verification becomes easy when the outputs are grouped to build a bit-string. Recently, several approaches for formal circuit verification have been proposed that make use of these regularities. These approaches are based on Word-Level Decision Diagrams (WLDDs) which are graph-based representations of functions (similar to BDDs) that allow for the representation of functions with a Boolean range and an integer domain. Formal Verification of Circuits is devoted to the discussion of recent developments in the field of decision diagram-based formal verification. Firstly, different types of decision diagrams (including WLDDs) are introduced and theoretical properties are discussed that give further insight into the data structure. Secondly, implementation and minimization concepts are presented. Applications to arithmetic circuit verification and verification of designs specified by hardware description languages are described to show how WLDDs work in practice. Formal Verification of Circuits is intended for CAD developers and researchers as well as designers using modern verification tools. It will help people working with formal verification (in industry or academia) to keep informed about recent developments in this area.
Theorem Provers In Circuit Design
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Author : Ramayya Kumar
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-03-06
Theorem Provers In Circuit Design written by Ramayya Kumar 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 1995-03-06 with Computers categories.
This two-volume set contains papers presented at the International Conference on Computational Engineering Science (ICES '95) held in Mauna Lani, Hawaii from 30 July to 3 August, 1995. The contributions capture the state of the science in computational modeling and simulation in a variety of engineering disciplines: civil, mechanical, aerospace, materials and electronics engineering.