Computer Arithmetic And Formal Proofs
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Computer Arithmetic And Formal Proofs
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Author : Sylvie Boldo
language : en
Publisher: Elsevier
Release Date : 2017-11-17
Computer Arithmetic And Formal Proofs written by Sylvie Boldo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Computers categories.
Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and potentially lead to numerous failures. One way to greatly increase confidence in floating-point software is by computer-assisted verification of its correctness proofs. This book provides a comprehensive view of how to formally specify and verify tricky floating-point algorithms with the Coq proof assistant. It describes the Flocq formalization of floating-point arithmetic and some methods to automate theorem proofs. It then presents the specification and verification of various algorithms, from error-free transformations to a numerical scheme for a partial differential equation. The examples cover not only mathematical algorithms but also C programs as well as issues related to compilation. - Describes the notions of specification and weakest precondition computation and their practical use - Shows how to tackle algorithms that extend beyond the realm of simple floating-point arithmetic - Includes real analysis and a case study about numerical analysis
Handbook Of Floating Point Arithmetic
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Author : Jean-Michel Muller
language : en
Publisher: Birkhäuser
Release Date : 2018-05-02
Handbook Of Floating Point Arithmetic written by Jean-Michel Muller and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 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.
Proofs And Computations
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Author : Helmut Schwichtenberg
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-15
Proofs And Computations written by Helmut Schwichtenberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-15 with Mathematics categories.
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.
Nasa Formal Methods
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Author : Jyotirmoy V. Deshmukh
language : en
Publisher: Springer Nature
Release Date : 2022-05-19
Nasa Formal Methods written by Jyotirmoy V. Deshmukh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-19 with Computers categories.
This book constitutes the proceedings of the 14th International Symposium on NASA Formal Methods, NFM 2022, held in Pasadena, USA, during May 24-27, 2022. The 33 full and 6 short papers presented in this volume were carefully reviewed and selected from 118submissions. The volume also contains 6 invited papers. The papers deal with advances in formal methods, formal methods techniques, and formal methods in practice. The focus on topics such as interactive and automated theorem proving; SMT and SAT solving; model checking; use of machine learning and probabilistic reasoning in formal methods; formal methods and graphical modeling languages such as SysML or UML; usability of formal method tools and application in industry, etc.
Formal Methods Applications And Technology
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Author : Lubos Brim
language : en
Publisher: Springer
Release Date : 2007-06-27
Formal Methods Applications And Technology written by Lubos Brim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-27 with Computers categories.
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.
Proceedings Of The 24th Conference On Formal Methods In Computer Aided Design Fmcad 2024
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Author : Nina Narodytska
language : en
Publisher: TU Wien Academic Press
Release Date : 2024-10-01
Proceedings Of The 24th Conference On Formal Methods In Computer Aided Design Fmcad 2024 written by Nina Narodytska and has been published by TU Wien Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-01 with Computers categories.
Die Proceedings zur Konferenz „Formal Methods in Computer-Aided Design 2024“ geben aktuelle Einblicke in ein spannendes Forschungsfeld. Zum fünften Mal erscheinen die Beiträge der Konferenzreihe „Formal Methods in Computer-Aided Design“ (FMCAD) als Konferenzband bei TU Wien Academic Press. Der aktuelle Band der seit 2006 jährlich veranstalteten Konferenzreihe präsentiert in 35 Beiträgen neueste wissenschaftliche Erkenntnisse aus dem Bereich des computergestützten Entwerfens. Die Beiträge behandeln formale Aspekte des computergestützten Systemdesigns einschließlich Verifikation, Spezifikation, Synthese und Test. Die FMCAD-Konferenz findet im Oktober 2024 in Prag, Tschechische Republik, statt. Sie gilt als führendes Forum im Bereich des computer-aided design und bietet seit ihrer Gründung Forschenden sowohl aus dem akademischen als auch dem industriellen Umfeld die Möglichkeit, sich auszutauschen und zu vernetzen.
Software Verification And Formal Methods For Ml Enabled Autonomous Systems
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Author : Omri Isac
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Software Verification And Formal Methods For Ml Enabled Autonomous Systems written by Omri Isac and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Workshop on Software Verification and Formal Methods for ML-Enables Autonomous Systems, FoMLAS 2022, and the 15th International Workshop on Numerical Software Verification, NSV 2022, which took place in Haifa, Israel, in July/August 2022. The volume contains 8 full papers from the FoMLAS 2022 workshop and 3 full papers from the NSV 2022 workshop. The FoMLAS workshop is dedicated to the development of novel formal methods techniques to discussing on how formal methods can be used to increase predictability, explainability, and accountability of ML-enabled autonomous systems. NSV 2022 is focusing on the challenges of the verification of cyber-physical systems with machine learning components.
Knowing Machines
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Author : Donald A. MacKenzie
language : en
Publisher: MIT Press
Release Date : 1998
Knowing Machines written by Donald A. MacKenzie and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Political Science categories.
The essays are tied together by their explorations of connections (primarily among technology, society, and knowledge) and by their general focus on modern "high" technology. They also share an emphasis on the complexity of technological formation and fixation and on the role of belief (especially self-validating belief) in technological change.
Intelligent Computer Mathematics
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Author : James H. Davenport
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-18
Intelligent Computer Mathematics written by James H. Davenport 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 2011-07-18 with Business & Economics categories.
This book constitutes the joint refereed proceedings of three international events, namely the 18th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2011, the 10th International Conference on Mathematical Knowledge Management, MKM 2011, and a new track on Systems and Projects descriptions that span both the Calculemus and MKM topics, all held in Bertinoro, Italy, in July 2011. All 51 submissions passed through a rigorous review process. A total of 15 papers were submitted to Calculemus, of which 9 were accepted. Systems and Projects track 2011 there have been 12 papers selected out of 14 submissions while MKM 2011 received 22 submissions, of which 9 were accepted for presentation and publication. The events focused on the use of AI techniques within symbolic computation and the application of symbolic computation to AI problem solving; the combination of computer algebra systems and automated deduction systems; and mathematical knowledge management, respectively.
Static Analysis
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Author : Cezara Drăgoi
language : en
Publisher: Springer Nature
Release Date : 2021-10-13
Static Analysis written by Cezara Drăgoi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-13 with Computers categories.
This book constitutes the refereed proceedings of the 28th International Symposium on Static Analysis, SAS 2021, held in Chicago, IL, USA, in October 2021. The 18 regular and 4 short papers, carefully reviewed and selected from 48 submissions, are presented in this book together with 1-page summaries of the three invited talks. The papers cover topics such as static program analysis, abstract domain, abstract interpretation, automated deduction, debugging techniques, deductive methods, model checking, data science, program optimizations and transformations, program synthesis, program verification, and security analysis.