Formal Methods

This is a detailed application of the methods of linguistic analysis to the sentence structure of Malay. It is based on extended analysis of short dramatic texts in colloquial Malay by Dato' Dr Haji Zainal-Abidin bin Ahmad, best know under his pen name Za'ba. Miss Lewis' analyses are, with certain modifications, kept within the grammatical framework which she deduced from a thesis presented by Dr E. M. F. Payne in 1964. She has shown that the framework is viable when applied to actual texts, though her analysis leads to certain modifications and extensions of the original plan. The book has a double interest. Students with a basic knowledge of Malay will find that the investigation into sentence formation refines their understanding of the language. Linguists interested in the application of a formal grammatical framework to the sentences of a Austronesian language will welcome this pioneer study.

Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theore

This user-friendly book covers the principles and history of action research, ethical and legal considerations, methods for conducting both formal and informal action research, data collection methods

Outside the formal teachings of the established religious institutions of many 'advanced' societies, there continues to exist a rich body of 'unofficial' or 'folk' religious beliefs and practices. This book provides an insight into the nature of folk religion in a small fishing village in North Yorkshire. Using a combination of sociological and historical methods, David Clark first explores the impact of an official religion - Methodism - on the village in the early nineteenth century, and its subsequent place in village life. He goes on the describe the ways in which Methodism relates to a more diffuse set of folk beliefs and rituals, such as those surrounding birth and death, the transitions of the annual cycle and the rigours of the fishing economy. The result is a fascinating portrait of official and unofficial religion within one local community. It also makes an important contribution to scholarly debates about the significance of folk religion within the wider religious culture,

This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. It involves reduction techniques which have proved to be very useful in the development of representation theory of finite dimensional algebras. The main results obtained with these methods are presented in an elementary and self contained way. The authors provide a fresh point of view of well known facts on tame and wild differential tensor algebras, on tame and wild algebras, and on their modules. But there are also some new results and some new proofs. Their approach presents a formal alternative to the use of bocses (bimodules over categories with coalgebra structure) with underlying additive categories and pull-back reduction constructions. Professional mathematicians working in representation theory and related fields, and graduate students interested in homological algebra will find much of interest in this book.

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.

Rasmus Wandall uses quantitative and qualitative methods from studies carried out in Denmark, to address the formal and informal norms and ideologies that are used to generate decisions to imprison. F

In this book, Quan Li and Rafael Reuveny combine the social scientific approach with a broad, interdisciplinary scope to address some of the most intriguing and important political, economic, and environmental issues of our times. Their book employs formal and statistical methods to study the interactions of economic globalization, democratic governance, income inequality, economic development, military violence, and environmental degradation. In doing so, Li and Reuveny cross multiple disciplinary boundaries, engage various academic debates, bring the insights from compartmentalized bodies of literature into direct dialogue, and uncover policy tradeoffs in a growingly interconnected political-economic-environmental system. They show that growing interconnectedness in the global system increases the demands on national leaders and their advisors; academicians and policy makers will need to cross disciplinary boundaries if they seek to better understand and address the policy tradeoffs

In this book, Quan Li and Rafael Reuveny combine the social scientific approach with a broad, interdisciplinary scope to address some of the most intriguing and important political, economic, and environmental issues of our times. Their book employs formal and statistical methods to study the interactions of economic globalization, democratic governance, income inequality, economic development, military violence, and environmental degradation. In doing so, Li and Reuveny cross multiple disciplinary boundaries, engage various academic debates, bring the insights from compartmentalized bodies of literature into direct dialogue, and uncover policy tradeoffs in a growingly interconnected political-economic-environmental system. They show that growing interconnectedness in the global system increases the demands on national leaders and their advisors; academicians and policy makers will need to cross disciplinary boundaries if they seek to better understand and address the policy tradeoffs

This examination of the relation between law and drama in Renaissance England establishes the diversity of their dialogue, encompassing critique and complicity, comment and analogy, but argues that the way in which drama addresses legal problems and dilemmas is nevertheless distinctive. As the resemblance between law and theatre concerns their formal structures rather than their methods and aims, an interdisciplinary approach must be alive to distinctions as well as affinities. Alert to issues of representation without losing sight of a lived culture of litigation, this study primarily focuses on early modern implications of the connection between legal and dramatic evidence, but expands to address a wider range of issues which stretch the representational capacities of both courtroom and theatre. The book does not shy away from drama's composite vision of legal realities but engages with the fictionality itself as significant, and negotiates the methodological challenges it posits.

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.

How can we make sure that the software we build does what it is supposed to? This book provides an insight into established techniques which help developers to overcome the complexity of software development by constructing models of software systems in early design stages. It uses one of the leading formal methods, VDM (Vienna Development Method), and combines training in the formalism with industry-strength tool support and examples derived from real industrial applications. The principles taught here also apply to many of the current generation of formal methods. This second edition has been updated to include advanced online tool support for formal modelling as well as up-to-date reports on real commercial applications in areas as diverse as business information systems and firmware design.

This book is a thorough introduction to the formal foundations and practical applications of Bayesian networks. It provides an extensive discussion of techniques for building Bayesian networks that model real-world situations, including techniques for synthesizing models from design, learning models from data, and debugging models using sensitivity analysis. It also treats exact and approximate inference algorithms at both theoretical and practical levels. The treatment of exact algorithms covers the main inference paradigms based on elimination and conditioning and includes advanced methods for compiling Bayesian networks, time-space tradeoffs, and exploiting local structure of massively connected networks. The treatment of approximate algorithms covers the main inference paradigms based on sampling and optimization and includes influential algorithms such as importance sampling, MCMC, and belief propagation. The author assumes very little background on the covered subjects, supplying

Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on the conventional logic and its limitations. This is a sustained study of the subject and is certain to stimulate further research. Part I reworks the fundamental ideas of logic to take account of multiple conclusions, and investigates the connections between multiple - and single - conclusion calculi. Part II draws on graph theory to discuss the form and validity of arguments independently of particular logical systems. Part III contrasts the multiple - and the single - conclusion treatment of one and the same subject, using many-valued logic as the example; and Part IV shows how the methods of 'natural deduction' can be matched by direct pr

Nonparametric techniques in statistics are those in which the data are ranked in order according to some particular characteristic. When applied to measurable characteristics, the use of such techniques often saves considerable calculation as compared with more formal methods, with only slight loss of accuracy. The field of nonparametric statistics is occupying an increasingly important role in statistical theory as well as in its applications. Nonparametric methods are mathematically elegant, and they also yield significantly improved performances in applications to agriculture, education, biometrics, medicine, communication, economics and industry.

Modern computer networks now circle the world, but the transmission of information between them depends on the many different protocols that define the behaviour of the sender and receiver. It is clear therefore, that the accurate description of these protocols is important if harmonious communication is to be maintained. In this book the authors use the formal specification language PSF to provide an unambiguous description of several communication protocols of varying levels of complexity, ranging from the alternating bit protocol to the token ring protocol. Beginners, as well as professionals in the field of communication protocols, will benefit from both the methods of specification described and the protocols discussed in this book.

This collection of articles aims at revitalizing the study of kinship and exchange in a social network perspective. It brings together studies of empirical systems of marriage and descent with investigations of the flow of material resources in societies of Africa, Asia, the Pacific and Europe. Restudies of classic ethnographic cases and fieldwork studies of kinship and exchange demonstrate how the social and material aspects of society are related, and address issues of concern to anthropology and the neighbouring disciplines of history, sociology and economics. This book marks the emergence of an era in the study of kinship and exchange using a productive combination of ethnographic substance with formal methods, one which leaves behind older structural-functionalist and culturalist assumptions.

A comprehensive and user-friendly guide to the use of logic in mathematical reasoning Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable t

Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.

This textbook, for second- or third-year students of computer science, presents insights, notations, and analogies to help them describe and think about algorithms like an expert, without grinding through lots of formal proof. Solutions to many problems are provided to let students check their progress, while class-tested PowerPoint slides are on the web for anyone running the course. By looking at both the big picture and easy step-by-step methods for developing algorithms, the author guides students around the common pitfalls. He stresses paradigms such as loop invariants and recursion to unify a huge range of algorithms into a few meta-algorithms. The book fosters a deeper understanding of how and why each algorithm works. These insights are presented in a careful and clear way, helping students to think abstractly and preparing them for creating their own innovative ways to solve problems.

In this book, a social dilemma with partner selection is introduced and studied with the methods of formal game theory, experimental economics and computer simulations. It allows exploration of simult

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.

Formal methods is the term used to describe the specification and verification of software and software systems using mathematical logic. Various methodologies have been developed and incorporated into software tools. An important subclass is distributed systems. There are many books that look at particular methodologies for such systems, e.g. CSP, process algebra. This book offers a more balanced introduction for graduate students that describes the various approaches, their strengths and weaknesses, and when they are best used. Milner's CCS and its operational semantics are introduced, together with notions of behavioural equivalence based on bisimulation techniques and with variants of Hennessy-Milner modal logics. Later in the book, the presented theories are extended to take timing issues into account. The book has arisen from various courses taught in Iceland and Denmark and is designed to give students a broad introduction to the area, with exercises throughout.

Combining time-tested practices with contemporary methods, this guidebook details the fine art of capturing formal and casual posed images. With advice and guidance from the finest and most decorated

The actual practice of the Romans with regard to property and investment must be distinguished from the formal rules of the emperors and the moralistic generalizations of the ancient writers. With this in mind the Cambridge Research Seminar in Ancient History spent two years examining various aspects of Roman property, investigating individual topics in greater detail than has been attempted before. The studies which make up this volume deal with Roman investment in property - scale and concentration of holdings, rural and urban property, methods of exploitation and how this was organized, and the extent of marginal lands. The editor has formed the volume into a coherent unit by eliminating excessive duplication and overlapping between chapters. The book is of particular value to specialists in ancient history, economic and social history and in Roman law, but also contains materials of interest to medieval and agrarian historians.

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

This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications t

Increasingly environmental scientists, palaeoceanographers and geologists are collecting quantitative records of environmental changes (time-series) from sediments, ice cores, cave calcite, corals and trees. This book explains how to analyse these records, using straightforward explanations and diagrams rather than formal mathematical derivations. All the main cyclostratigraphic methods are covered including spectral analysis, cross-spectral analysis, filtering, complex demodulation, wavelet and singular spectrum analysis. Practical problems of time-series analysis, including those of distortions of environmental signals during stratigraphic encoding, are considered in detail. Recent research into various types of tidal and climatic cycles is summarised. The book ends with an extensive reference section, and an appendix listing sources of computer algorithms. This book provides the ideal reference for all those using time-series analysis to study the nature and history of climatic and

The study of structural analysis and design is a central subject in civil, aeronautical and mechanical engineering. This book presents a modern and unified introduction to structural analysis, with a strong emphasis on how structures actually behave. The unifying theme is the application of energy methods, developed without the formal mathematics of the calculus of variations. The energy approach makes it possible to articulate the logical relationship between equilibrium and compatibility; emphasise the unity of structural analysis, particularly for indeterminate structures; and identify the roles of idealization and discretization in structural modelling. Thus, energy methods also serve as a prelude to the main ideas behind modern computational approaches to structural analysis and design. As an aid to upper-level undergraduate students in mastering this material, the text includes numerous worked examples, as well as homework problems.

Aimed at advanced undergraduate and graduate students in mathematics and related disciplines, this book presents the concepts and results underlying the Bayesian, frequentist and Fisherian approaches, with particular emphasis on the contrasts between them. Computational ideas are explained, as well as basic mathematical theory. Written in a lucid and informal style, this concise text provides both basic material on the main approaches to inference, as well as more advanced material on developments in statistical theory, including: material on Bayesian computation, such as MCMC, higher-order likelihood theory, predictive inference, bootstrap methods and conditional inference. It contains numerous extended examples of the application of formal inference techniques to real data, as well as historical commentary on the development of the subject. Throughout, the text concentrates on concepts, rather than mathematical detail, while maintaining appropriate levels of formality. Each chapter

The Victorian polymath William Stanley Jevons (1835–82) is generally and rightly venerated as one of the great innovators of economic theory and method in what came to be known as the 'marginalist revolution'. This book is an investigation into the cultural and intellectual resources that Jevons drew upon to revolutionize research methods in economics. Jevons's uniform approach to the sciences was based on a firm belief in the mechanical constitution of the universe and a firm conviction that all scientific knowledge was limited and therefore hypothetical in character. Jevons's mechanical beliefs found their way into his early meteorological studies, his formal logic, and his economic pursuits. By using mechanical analogies as instruments of discovery, Jevons was able to bridge the divide between theory and statistics that had become more or less institutionalized in mid nineteenth-century Britain.

A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of

Using formal methods for the specification and verification of hardware and software systems is becoming increasingly important as systems increase in size and complexity. The aim of the book is to il

This book provides selective, in-depth coverage of the fundamentals of software engineering by stressing principles and methods through rigorous formal and informal approaches. In contrast to other bo

This book provides a broad overview of the basic theory and methods of applied multivariate analysis. The presentation integrates both theory and practice including both the analysis of formal linear

The second edition of this book is unique in that it focuses on methods for making formal statistical inference from all the models in an a priori set (Multi-Model Inference). A philosophy is presente

Fact finding in judicial proceedings is a dynamic process. This collection of papers considers whether computational methods or other formal logical methods developed in disciplines such as artificial

Provides an innovative hands-on introduction to techniques for specifying the behaviour of software components. It is primarily intended for use as a text book for a course in the 2nd or 3rd year of Computer Science and Computer Engineering programs, but it is also suitable for self-study. Using this book will help the reader improve programming skills and gain a sound foundation and motivation for subsequent courses in advanced algorithms and data structures, software design, formal methods, compilers, programming languages, and theory. The presentation is based on numerous examples and case studies appropriate to the level of programming expertise of the intended readership. The main topics covered are techniques for using programmer-friendly assertional notations to specify, develop, and verify small but non-trivial algorithms and data representations, and the use of state diagrams, grammars, and regular expressions to specify and develop recognizers for formal languages.

Provides an innovative hands-on introduction to techniques for specifying the behaviour of software components. It is primarily intended for use as a text book for a course in the 2nd or 3rd year of Computer Science and Computer Engineering programs, but it is also suitable for self-study. Using this book will help the reader improve programming skills and gain a sound foundation and motivation for subsequent courses in advanced algorithms and data structures, software design, formal methods, compilers, programming languages, and theory. The presentation is based on numerous examples and case studies appropriate to the level of programming expertise of the intended readership. The main topics covered are techniques for using programmer-friendly assertional notations to specify, develop, and verify small but non-trivial algorithms and data representations, and the use of state diagrams, grammars, and regular expressions to specify and develop recognizers for formal languages.