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Book Formal Methods in Standards

    Book Details:
  • Author : Clive L.N. Ruggles
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1447134192
  • Pages : 144 pages

Download or read book Formal Methods in Standards written by Clive L.N. Ruggles and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 1 What are formal methods? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3. 2 A survey of formal methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1 FDTs and FSLs for sequential software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1. 1 VDM (Vienna Development Method). . . . . . . . . . . . . . . . . . . . . 19 3. 2. 1. 2 Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 3 me too . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 4 HOS and AXES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 5 Gist. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 6 Clear . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 7 OBJ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 8 ACT ONE and ACT TWO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 9 CIP-L. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 10 LPG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 11 Larch. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 12 Logic languages-the Prolog family. . . . . . . . . . . . . . . . . . . 22 3. 2. 1. 13 Functional languages. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2 FDTs and FSLs for concurrent software. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2. 1 LOTOS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3. 2. 2. 2 Estelle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 3 SDL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 4 ASN. l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 5 TTCN. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 2. 6 Gypsy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3 Graphical formalisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 1 Petri nets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 2 Higraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 4 Less formal methods and notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 1 SADT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 2 Structured Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 3 SSADM and LSDM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 4 JSPandJSD. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 5 HDM and the SPECIAL language . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3. 2. 4. 6 Structured analysis and design of real-time systems. . 27 3. 3 Support tools for FDTs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Book Formal Methods for Software Engineering

Download or read book Formal Methods for Software Engineering written by Markus Roggenbach and published by Springer Nature. This book was released on 2022-06-22 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Software programs are formal entities with precise meanings independent of their programmers, so the transition from ideas to programs necessarily involves a formalisation at some point. The first part of this graduate-level introduction to formal methods develops an understanding of what constitutes formal methods and what their place is in Software Engineering. It also introduces logics as languages to describe reasoning and the process algebra CSP as a language to represent behaviours. The second part offers specification and testing methods for formal development of software, based on the modelling languages CASL and UML. The third part takes the reader into the application domains of normative documents, human machine interfaces, and security. Use of notations and formalisms is uniform throughout the book. Topics and features: Explains foundations, and introduces specification, verification, and testing methods Explores various application domains Presents realistic and practical examples, illustrating concepts Brings together contributions from highly experienced educators and researchers Offers modelling and analysis methods for formal development of software Suitable for graduate and undergraduate courses in software engineering, this uniquely practical textbook will also be of value to students in informatics, as well as to scientists and practical engineers, who want to learn about or work more effectively with formal theories and methods. Markus Roggenbach is a Professor in the Dept. of Computer Science of Swansea University. Antonio Cerone is an Associate Professor in the Dept. of Computer Science of Nazarbayev University, Nur-Sultan. Bernd-Holger Schlingloff is a Professor in the Institut für Informatik of Humboldt-Universität zu Berlin. Gerardo Schneider is a Professor in the Dept. of Computer Science and Engineering of University of Gothenburg. Siraj Ahmed Shaikh is a Professor in the Institute for Future Transport and Cities of Coventry University. The companion site for the book offers additional resources, including further material for selected chapters, prepared lab classes, a list of errata, slides and teaching material, and virtual machines with preinstalled tools and resources for hands-on experience with examples from the book. The URL is: https://sefm-book.github.io

Book Formal Methods in Standards

Download or read book Formal Methods in Standards written by Clive L.N. Ruggles and published by Springer. This book was released on 2012-10-20 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 1 What are formal methods? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3. 2 A survey of formal methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1 FDTs and FSLs for sequential software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1. 1 VDM (Vienna Development Method). . . . . . . . . . . . . . . . . . . . . 19 3. 2. 1. 2 Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 3 me too . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 4 HOS and AXES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 5 Gist. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 6 Clear . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 7 OBJ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 8 ACT ONE and ACT TWO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 9 CIP-L. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 10 LPG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 11 Larch. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 12 Logic languages-the Prolog family. . . . . . . . . . . . . . . . . . . 22 3. 2. 1. 13 Functional languages. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2 FDTs and FSLs for concurrent software. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2. 1 LOTOS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3. 2. 2. 2 Estelle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 3 SDL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 4 ASN. l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 5 TTCN. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 2. 6 Gypsy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3 Graphical formalisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 1 Petri nets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 2 Higraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 4 Less formal methods and notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 1 SADT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 2 Structured Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 3 SSADM and LSDM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 4 JSPandJSD. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 5 HDM and the SPECIAL language . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3. 2. 4. 6 Structured analysis and design of real-time systems. . 27 3. 3 Support tools for FDTs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Book Formal Methods in Standards

Download or read book Formal Methods in Standards written by Derek Andrews and published by Springer Verlag. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Formal Methods  State of the Art and New Directions

Download or read book Formal Methods State of the Art and New Directions written by Paul Boca and published by Springer Science & Business Media. This book was released on 2009-12-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through fundamental contributions from leading researchers, this volume describes the use of formal modeling methods in the areas of requirements, design and validation. The self-contained chapters provide readers with rich background information and a diverse breadth of specialist material.

Book Concise Guide to Formal Methods

Download or read book Concise Guide to Formal Methods written by Gerard O'Regan and published by Springer. This book was released on 2017-08-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable textbook/reference provides an easy-to-read guide to the fundamentals of formal methods, highlighting the rich applications of formal methods across a diverse range of areas of computing. Topics and features: introduces the key concepts in software engineering, software reliability and dependability, formal methods, and discrete mathematics; presents a short history of logic, from Aristotle’s syllogistic logic and the logic of the Stoics, through Boole’s symbolic logic, to Frege’s work on predicate logic; covers propositional and predicate logic, as well as more advanced topics such as fuzzy logic, temporal logic, intuitionistic logic, undefined values, and the applications of logic to AI; examines the Z specification language, the Vienna Development Method (VDM) and Irish School of VDM, and the unified modelling language (UML); discusses Dijkstra’s calculus of weakest preconditions, Hoare’s axiomatic semantics of programming languages, and the classical approach of Parnas and his tabular expressions; provides coverage of automata theory, probability and statistics, model checking, and the nature of proof and theorem proving; reviews a selection of tools available to support the formal methodist, and considers the transfer of formal methods to industry; includes review questions and highlights key topics in every chapter, and supplies a helpful glossary at the end of the book. This stimulating guide provides a broad and accessible overview of formal methods for students of computer science and mathematics curious as to how formal methods are applied to the field of computing.

Book Formal Methods Teaching

Download or read book Formal Methods Teaching written by João F. Ferreira and published by Springer Nature. This book was released on 2021-11-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Workshop and Tutorial, FMTea 2021, Held as Part of the 4th World Congress on Formal Methods, FM 2021, as a virtual event in November 2021. The 8 full papers presented together with 2 short papers were carefully reviewed and selected from 12 submissions. The papers are organized in topical sections named: experiences and proposals related with online FM learning and teaching, integrating/embedding FM teaching/thinking within other computer science courses, teaching FM for industry, and innovative learning and teaching methods for FM.

Book Formal Methods for Discrete Time Dynamical Systems

Download or read book Formal Methods for Discrete Time Dynamical Systems written by Calin Belta and published by Springer. This book was released on 2017-03-08 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.

Book Formal Methods

    Book Details:
  • Author : Flemming Nielson
  • Publisher : Springer
  • Release : 2019-07-16
  • ISBN : 3030051560
  • Pages : 160 pages

Download or read book Formal Methods written by Flemming Nielson and published by Springer. This book was released on 2019-07-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the use of formal methods ranging from semantics of key programming constructs to techniques for the analysis and verification of programs. The authors use program graphs as the mechanism for representing the control structure of programs in order to find a balance between generality and conceptual complexity. The early chapters on program graphs and the Guarded Commands language are sufficient introduction for most readers to then enjoy a plug-and-play approach to the remaining chapters. These explain formal methods for analysing the behaviour of programs in various ways ranging from verification, via program analysis and language-based security, to model checking. The remaining chapters present language extensions with procedures and concurrency and cover their semantics. The book is suitable for advanced undergraduate and graduate courses in software development, and the text is supported throughout with exercises of varying grades of difficulty. The authors have developed an online learning environment that allows students to create examples beyond those covered in the main text, and in the book appendices they present programming projects aimed at implementing central parts of the development using the functional language F#.

Book Logical Analysis of Hybrid Systems

Download or read book Logical Analysis of Hybrid Systems written by André Platzer and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.

Book Formal Methods in Computer Science

Download or read book Formal Methods in Computer Science written by Jiacun Wang and published by CRC Press. This book was released on 2019-06-21 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives students a comprehensive introduction to formal methods and their application in software and hardware specification and verification. It has three parts: The first part introduces some fundamentals in formal methods, including set theory, functions, finite state machines, and regular expressions. The second part focuses on logi

Book Formal Verification of Object Oriented Software

Download or read book Formal Verification of Object Oriented Software written by Bernhard Beckert and published by Springer. This book was released on 2012-07-11 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the thoroughly refereed post-conference proceedings of the International Conference on Formal Verification of Object-Oriented Software, FoVeOOS 2011, held in Turin, Italy, in October 2011 – organised by COST Action IC0701. The 10 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 19 submissions. Formal software verification has outgrown the area of academic case studies, and industry is showing serious interest. The logical next goal is the verification of industrial software products. Most programming languages used in industrial practice are object-oriented, e.g. Java, C++, or C#. FoVeOOS 2011 aimed to foster collaboration and interactions among researchers in this area.

Book Industrial Strength Formal Methods in Practice

Download or read book Industrial Strength Formal Methods in Practice written by Michael G. Hinchey and published by Springer Science & Business Media. This book was released on 1999-09-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Aimed mainly at practitioners in software engineering and formal methods, this book will also be of interest to academic researchers working in formal methods, and students on advanced software engineering courses who need real-life specifications and examples on which to base their work."--Jacket.

Book The use of formal methods in data security standards

Download or read book The use of formal methods in data security standards written by Andrew Harry and published by . This book was released on 1992 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Formal Methods in Manufacturing

Download or read book Formal Methods in Manufacturing written by Javier Campos and published by CRC Press. This book was released on 2014-02-25 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Applications of Formal Methods

Download or read book Applications of Formal Methods written by Michael Gerard Hinchey and published by . This book was released on 1995 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of case studies contains contributions illustrating the application of formal methods to real-life problems with industrial relevance.

Book Industrial Applications of Formal Methods to Model  Design and Analyze Computer Systems

Download or read book Industrial Applications of Formal Methods to Model Design and Analyze Computer Systems written by Dan Craigen and published by William Andrew. This book was released on 2012-12-02 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal methods are mathematically-based techniques, often supported by reasoning tools, that can offer a rigorous and effective way to model, design and analyze computer systems. The purpose of this study is to evaluate international industrial experience in using formal methods. The cases selected are representative of industrial-grade projects and span a variety of application domains. The study had three main objectives: · To better inform deliberations within industry and government on standards and regulations; · To provide an authoritative record on the practical experience of formal methods to date; and À To suggest areas where future research and technology development are needed. This study was undertaken by three experts in formal methods and software engineering: Dan Craigen of ORA Canada, Susan Gerhart of Applied Formal Methods, and Ted Ralston of Ralston Research Associates. Robin Bloomfield of Adelard was involved with the Darlington Nuclear Generating Station Shutdown System case. Support for this study was provided by organizations in Canada and the United States. The Atomic Energy Control Board of Canada (AECB) provided support for Dan Craigen and for the technical editing provided by Karen Summerskill. The U.S. Naval Research Laboratories (NRL), Washington, DC, provided support for all three authors. The U.S. National Institute of Standards and Technology (NIST) provided support for Ted Ralston.