Polynomial Formal Verification Of Approximate Functions
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Polynomial Formal Verification Of Approximate Functions
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Author : Martha Schnieber
language : en
Publisher: Springer Nature
Release Date : 2023-08-23
Polynomial Formal Verification Of Approximate Functions written by Martha Schnieber and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-23 with Technology & Engineering categories.
During the development of digital circuits, their functional correctness has to be ensured, for which formal verification methods have been established. However, the verification process using formal methods can have an exponential time or space complexity, causing the verification to fail. While exponential in general, recently it has been proven that the verification complexity of several circuits is polynomially bounded. Martha Schnieber proves the polynomial verifiability of several approximate circuits, which are beneficial in error-tolerant applications, where the circuit approximates the exact function in some cases, while having a lower delay or being more area-efficient. Here, upper bounds for the BDD size and the time and space complexity are provided for the verification of general approximate functions and several state-of-the-art approximate adders.
Formal Methods In Computer Aided Design
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Author : Mark D. Aagaard
language : en
Publisher: Springer
Release Date : 2003-06-30
Formal Methods In Computer Aided Design written by Mark D. Aagaard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.
This volume contains the proceedings of the Fourth Biennial Conference on F- mal Methods in Computer-Aided Design (FMCAD). The conference is devoted to the use of mathematical methods for the analysis of digital hardware c- cuits and systems. The workreported in this bookdescribes the use of formal mathematics and associated tools to design and verify digital hardware systems. Functional veri?cation has become one of the principal costs in a modern computer design e?ort. FMCAD provides a venue for academic and industrial researchers and practitioners to share their ideas and experiences of using - screte mathematical modeling and veri?cation. Over the past 20 years, this area has grown from just a few academic researchers to a vibrant worldwide com- nity of people from both academia and industry. This volume includes 23 papers selected from the 47 submitted papers, each of which was reviewed by at least three program committee members. The history of FMCAD dates backto 1984, when the earliest meetings on this topic occurred as part of IFIP WG10.2.
Nasa Formal Methods
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Author : Guillaume Brat
language : en
Publisher: Springer
Release Date : 2013-05-09
Nasa Formal Methods written by Guillaume Brat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Symposium on NASA Formal Methods, NFM 2013, held in Moffett Field, CA, USA, in May 2013. The 28 revised regular papers presented together with 9 short papers talks were carefully reviewed and selected from 99 submissions. The topics are organized in topical sections on model checking; applications of formal methods; complex systems; static analysis; symbolic execution; requirements and specifications; probabilistic and statistical analysis; and theorem proving.
Applicable Formal Methods For Safe Industrial Products
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Author : Anne E. Haxthausen
language : en
Publisher: Springer Nature
Release Date : 2023-09-17
Applicable Formal Methods For Safe Industrial Products written by Anne E. Haxthausen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-17 with Computers categories.
This Festschrift, dedicated to Jan Peleska on the occasion of his 65th birthday, contains papers written by many of his closest collaborators in academic and industry research. After studying mathematics at the University of Hamburg, Jan worked with Philips and Deutsche System-Technik on fault-tolerant systems, distributed systems, database systems, and safety-critical embedded systems. Since 1994 he has worked as a consultant to industry, specializing in development methods, verification, validation and test of safety-critical systems, and since 1995 he has been a Professor of Computer Science at the University of Bremen. In his research he has been most interested in the combination and application of existing methods and corresponding tools to real-world problems, particularly in the field of safety-critical embedded systems and distributed systems, including avionics and railway control systems. The papers in this volume reflect those interests, and the impact he has had on colleagues and collaborators. The volume is structured into sections on testing; railway verification and safety & security; intelligent systems and cyber-physical systems; and tools and techniques for specification, verification and code generation.
Nasa Formal Methods
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Author : Alwyn Goodloe
language : en
Publisher: Springer
Release Date : 2012-03-30
Nasa Formal Methods written by Alwyn Goodloe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-30 with Computers categories.
This book constitutes the refereed proceedings of the Fourth International Symposium on NASA Formal Methods, NFM 2012, held in Norfolk, VA, USA, in April 2012. The 36 revised regular papers presented together with 10 short papers, 3 invited talks were carefully reviewed and selected from 93 submissions. The topics are organized in topical sections on theorem proving, symbolic execution, model-based engineering, real-time and stochastic systems, model checking, abstraction and abstraction refinement, compositional verification techniques, static and dynamic analysis techniques, fault protection, cyber security, specification formalisms, requirements analysis and applications of formal techniques.
Sparse Polynomial Approximation Of High Dimensional Functions
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Author : Ben Adcock
language : en
Publisher: SIAM
Release Date : 2022-02-16
Sparse Polynomial Approximation Of High Dimensional Functions written by Ben Adcock and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Mathematics categories.
Over seventy years ago, Richard Bellman coined the term “the curse of dimensionality” to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data. This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations. It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques. Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing. It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code. The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book’s companion website (www.sparse-hd-book.com). This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.
Formal Methods In Computer Aided Design
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Author : Warren A. Jr. Hunt
language : en
Publisher: Springer
Release Date : 2007-11-29
Formal Methods In Computer Aided Design written by Warren A. Jr. Hunt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-29 with Computers categories.
The biannual Formal Methods in Computer Aided Design conference (FMCAD 2000)is the third in a series of conferences under that title devoted to the use of discrete mathematical methods for the analysis of computer hardware and so- ware. The work reported in this book describes the use of modeling languages and their associated automated analysis tools to specify and verify computing systems. Functional veric ation has become one of the principal costs in a modern computer design e ort. In addition,verica tion of circuit models, timing,power, etc., requires even more eo rt. FMCAD provides a venue for academic and - dustrial researchers and practitioners to share their ideas and experiences of using discrete mathematical modeling and veric ation. It is noted with interest by the conference chairmen how this area has grown from just a few people 15 years ago to a vibrant area of research, development, and deployment. It is clear that these methods are helping reduce the cost of designing computing systems. As an example of this potential cost reduction, we have invited David Russino of Advanced Micro Devices, Inc. to describe his veric ation of ?oating-point - gorithms being used in AMD microprocessors. The program includes 30 regular presentations selected from 63 submitted papers.
Formal Methods In Manufacturing
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Author : Javier Campos
language : en
Publisher: CRC Press
Release Date : 2018-09-03
Formal Methods In Manufacturing written by Javier Campos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Technology & Engineering categories.
Illustrated with real-life manufacturing examples, Formal Methods in Manufacturing provides state-of-the-art solutions to common problems in manufacturing systems. Assuming some knowledge of discrete event systems theory, the book first delivers a detailed introduction to the most important formalisms used for the modeling, analysis, and control of manufacturing systems (including Petri nets, automata, and max-plus algebra), explaining the advantages of each formal method. It then employs the different formalisms to solve specific problems taken from today’s industrial world, such as modeling and simulation, supervisory control (including deadlock prevention) in a distributed and/or decentralized environment, performance evaluation (including scheduling and optimization), fault diagnosis and diagnosability analysis, and reconfiguration. Containing chapters written by leading experts in their respective fields, Formal Methods in Manufacturing helps researchers and application engineers handle fundamental principles and deal with typical quality goals in the design and operation of manufacturing systems.
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 The Next 30 Years
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Author : Maurice H. ter Beek
language : en
Publisher: Springer Nature
Release Date : 2019-09-23
Formal Methods The Next 30 Years written by Maurice H. ter Beek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-23 with Computers categories.
This book constitutes the refereed proceedings of the 23rd Symposium on Formal Methods, FM 2019, held in Porto, Portugal, in the form of the Third World Congress on Formal Methods, in October 2019. The 44 full papers presented together with 3 invited presentations were carefully reviewed and selected from 129 submissions. The papers are organized in topical sections named: Invited Presentations; Verification; Synthesis Techniques; Concurrency; Model Checking Circus; Model Checking; Analysis Techniques; Specification Languages; Reasoning Techniques; Modelling Languages; Learning-Based Techniques and Applications; Refactoring and Reprogramming; I-Day Presentations.