Formal Methods

A practical text suitable for an introductory or advanced course in formal methods, this book presents a mathematical approach to modelling and designing systems using an extension of the B formal method: Event-B. Based on the idea of refinement, the author's systematic approach allows the user to construct models gradually and to facilitate a systematic reasoning method by means of proofs. Readers will learn how to build models of programs and, more generally, discrete systems, but this is all done with practice in mind. The numerous examples provided arise from various sources of computer system developments, including sequential programs, concurrent programs and electronic circuits. The book also contains a large number of exercises and projects ranging in difficulty. Each of the examples included in the book has been proved using the Rodin Platform tool set, which is available free for download at www.event-b.org.

Formal Notices is designed to get the creative juices flowing and the message delivered in a format that's interactive and engaging. With over 50 communication notices to choose from in eight categor

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined

APPROACH Sherri Jackson's RESEARCH METHODS: A MODULAR combines a lively writing style with a novel approach to offer a refreshing alternative for the research methods course. Topics are treated in rel

Stewart (anthropology, Temple U.) introduces field methods and the decision-making process for choosing methods in the textbook. Chapters cover basic definitions and assumptions; the recognition of ev

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level wh

Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning. By keeping out artificial t

Need a tested, reliable method that works? Put Essential Bioimaging Methods to work for you. Editor Michael Conn has hand-picked the most robust methods from?his previously-published volumes in the?Me

Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.

Incorporating dramatic recent advances, "Methods in Modern Biophysics" presents a fresh and timely introduction to modern biophysical methods. This innovative text surveys and explains the ten key bio

Recent Advances in Numerical Methods features contributions from distinguished researchers, focused on significant aspects of current numerical methods and computational mathematics. The increasing n

Structural Modeling by Example offers a comprehensive overview of the application of structural equation models in the social and behavioural sciences and in educational research. It is devoted in roughly equal proportions to substantive issues and to methodological ones. The substantive section comprises case studies of the use of these models in a number of disciplines. The authors emphasize the reasons for modeling by these methods, the processes involved in defining the model, and the interpretation of the results. Each substantive chapter includes an exemplary data set and formal model construction of give readers practice in setting up the models and interpreting the results. The methodological section comprises investigations of the behaviour of structural equation modeling methods under a number of conditions. The aim is to clarify the situations in which these methods can usefully be applied and the interpretations that can be made.

A concise methods book, Research Design and Methods for Studying Cultures emphasizes that all methods are related as parts of a research design and must be chosen with respect to the larger research o

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It co

A concise methods book, Research Design and Methods for Studying Cultures emphasizes that all methods are related as parts of a research design and must be chosen with respect to the larger research o

This classic text and reference collects the many formulae and methods that can be found in the scientific literature on stochastic methods. This fourth edition has been thoroughly updated and restruc

In this new age of science and technology, microchip methods of analysis have developed into an essential tool for biomedical researchers. Microchip Methods in Diagnostics looks at this increasingly

The study of formal languages and automata has proved to be a source of much interest and discussion amongst mathematicians in recent times. This book, written by Professor Ian Chiswell, attempts to

Selecting Research Methods provides advice from prominent social scientists concerning the most crucial steps for planning and undertaking meaningful research: selecting the methods to be used. Contri

The theory of formal languages is widely accepted as the backbone of t- oretical computer science. It mainly originated from mathematics (com- natorics, algebra, mathematical logic) and generative lin

The formal sciences, particularly mathematics, have had a profound influence on the development of linguistics. This insightful overview looks at techniques that were introduced in the fields of mathematics, logic and philosophy during the twentieth century, and explores their effect on the work of various linguists. In particular, it discusses the 'foundations crisis' that destabilised mathematics at the start of the twentieth century, the numerous related movements which sought to respond to this crisis, and how they influenced the development of syntactic theory in the 1950s. The book concludes by discussing the resulting major consequences for syntactic theory, and provides a detailed reassessment of Chomsky's early work at the advent of Generative Grammar. Informative and revealing, this book will be invaluable to all those working in formal linguistics, in particular those interested in its history and development.

Research Methods in Politics is an accessible and student-friendly guide to the use of qualitative and quantitative methods in researching politics. This clearly written book is ideal for use on intr

Quantitative Methods in Linguistics introduces the general strategies and methods of quantitative analysis. The book dedicates individual chapters to phonetics, psycholinguistics, sociolinguistics, hi

Quantitative Methods in Linguistics introduces the general strategies and methods of quantitative analysis. The book dedicates individual chapters to phonetics, psycholinguistics, sociolinguistics, hi

Bayesian Methods in Finance provides a detailed overview of the theory of Bayesian methods and explains their real-world applications to financial modeling. While the principles and concepts explained

This book teaches model-based analysis and model-based testing, with important new ways to write and analyze software specifications and designs, generate test cases, and check the results of test runs. These methods increase the automation in each of these steps, making them more timely, more thorough, and more effective. Using a familiar programming language, testers and analysts will learn to write models that describe how a program is supposed to behave. The authors work through several realistic case studies in depth and detail, using a toolkit built on the C# language and the .NET framework. Readers can also apply the methods in analyzing and testing systems in many other languages and frameworks. Intended for professional software developers including testers, and for university students, this book is suitable for courses on software engineering, testing, specification, or applications of formal methods.

This book teaches model-based analysis and model-based testing, with important new ways to write and analyze software specifications and designs, generate test cases, and check the results of test runs. These methods increase the automation in each of these steps, making them more timely, more thorough, and more effective. Using a familiar programming language, testers and analysts will learn to write models that describe how a program is supposed to behave. The authors work through several realistic case studies in depth and detail, using a toolkit built on the C# language and the .NET framework. Readers can also apply the methods in analyzing and testing systems in many other languages and frameworks. Intended for professional software developers including testers, and for university students, this book is suitable for courses on software engineering, testing, specification, or applications of formal methods.

The concepts of formal and informal remain central to the theory and practice of development more than half a century after they were introduced into the debate. They help structure the way that stati

Featuring international contributors from both industry and academia, Numerical Methods for Finance explores new and relevant numerical methods for the solution of practical problems in finance. It is

Using Chomsky's minimalist program as a framework, this volume explores the role of formal (or functional) features in current descriptions and accounts of language acquistion. In engaging, up-to-date

Research Methods for Law introduces undergraduate and postgraduate students to available methods of research - legalistic, empirical, comparative and theoretical - drawing on actual research projects

Research Methods for Law introduces undergraduate and postgraduate students to available methods of research - legalistic, empirical, comparative and theoretical - drawing on actual research projects

This book presents detailed methods on a variety of aspects of Salmonella research, focusing on those which provide landmarks for future discovery. It is the first comprehensive volume of methods and

This fully updated sixth edition of the international bestseller Research Methods in Education covers the whole range of methods currently employed by educational research at all stages. It is divided

What role, if any, does formal logic play in characterizing epistemically rational belief? Traditionally, belief is seen in a binary way - either one believes a proposition, or one doesn't. Given thi

While preserving the clear, accessible style of previous editions, Applied Nonparametric Statistical Methods, Fourth Edition reflects the latest developments in computer-intensive methods that deal wi

This book presents an overview of modern Banach space theory. It contains sixteen papers that reflect the wide expanse of the subject. Articles are gathered into five sections according to methodology rather than the topics considered. The sections are: geometrical methods; homological methods; topological methods; operator theoretic methods; and also function space methods. Each section contains survey and research papers describing the state-of-the-art in the topic considered as well as some of the latest most important results. Researchers working in Banach space theory, functional analysis or operator theory will find much of interest here.

Declarative programs consist of mathematical functions and relations and are amenable to formal specification and verification, since the methods of logic and proof can be applied to the programs in a well-defined manner. Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming. He generalizes and unifies results from classical theorem-proving and term rewriting to provide proof methods tailored to declarative program synthesis and verification. Detailed examples accompany the development of the methods, whose use is supported by a documented prototyping system. The book can be used for graduate courses or as a reference fo

Methods of Legal Reasoning describes and criticizes four methods used in legal practice, legal dogmatics and legal theory: logic, analysis, argumentation and hermeneutics. The book takes the unusual a

Metabolomics: Methods and Protocols examines the state-of-the-art in metabolomic analysis. Leading researchers in the field present protocols for the application of complementary analytical methods,