Formal Methods

Text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory. Its principal feature is the extensive use of formal power series methods to obtain and som

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

Also a professional dancer and artist, Yarber is pastor for preaching and worship at Wake Forest Baptist Church. Using the methods of phenomenology, formal analysis, and Paul Knitter's constructive me

This extensively revised and updated new edition of Specification of Software Systems builds upon the original focus on software specification with added emphasis on the practice of formal methods for

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

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

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

Growing demands for the quality, safety, and security of software can only be satisfied by the rigorous application of formal methods during software design. This book methodically investigates the po

"Requirements engineering is a discipline used primarily for large and complex applications. It is more formal than normal methods of gathering requirements, and this formality is needed for many larg

This book highlights a range of new approaches and concepts in the field of software engineering. Based on systematic methods, graphical and formal models, the approaches are designed for solving prac

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regainin

In recent years a range of formal methods of spatial analysis have been developed for the study of human engagement, experience and socialisation within the built environment. This volume brings toget

The book explores ways in which the formal methods of linguistics can cast light on the structure of verbal interaction, and in particular considers how successive utterances cohere together in contin

This book constitutes the refereed proceedings of the 17th International Symposium on Formal Methods, FM 2011, held in Limerick, Ireland, in June 2011. The 29 revised full papers presented together wi

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

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

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

Sex for Sale in Scotland examines the various formal and informal methods that were used to police female prostitution in Edinburgh and Glasgow between 1900 and 1939 and explores how these policies in

This book develops the analysis of Time Series from its formal beginnings in the 1890s through to the publication of Box and Jenkins' watershed publication in 1970, showing how these methods laid the

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

The focus of this book is on bridging the gap between two extreme methods for developing software. On the one hand, there are texts and approaches that are so formal that they scare off all but the mo

The focus of this book is on bridging the gap between two extreme methods for developing software. On the one hand, there are texts and approaches that are so formal that they scare off all but the mo

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 geochemistry aims to provide an accurate description of geological processes, and a set of models and quantitative rules that help predict the evolution of geological systems. This work is an introduction to the mathematical methods of geochemical modeling, largely based on examples presented with full solutions. It shows how geochemical problems, dealing with mass balance, equilibrium, fractionation, dynamics, and transport in the igneous, sedimentary and oceanic environments, can be reformulated in terms of equations. Its practical approach then leads to simple but efficient methods of solution. This book should help the motivated reader to overcome the formal difficulties of geochemical modeling, and bring state-of-the-art methods within reach of advanced students in geochemistry and geophysics, as well as in physics and chemistry.

'Big data' poses challenges that require both classical multivariate methods and contemporary techniques from machine learning and engineering. This modern text equips you for the new world - integrating the old and the new, fusing theory and practice and bridging the gap to statistical learning. The theoretical framework includes formal statements that set out clearly the guaranteed 'safe operating zone' for the methods and allow you to assess whether data is in the zone, or near enough. Extensive examples showcase the strengths and limitations of different methods with small classical data, data from medicine, biology, marketing and finance, high-dimensional data from bioinformatics, functional data from proteomics, and simulated data. High-dimension low-sample-size data gets special attention. Several data sets are revisited repeatedly to allow comparison of methods. Generous use of colour, algorithms, Matlab code, and problem sets complete the package. Suitable for master's/graduat

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 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.

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

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.

This book examines and compares the two major traditions of institutionalist thinking in economics: the 'old' institutionalism of Veblen, Mitchell, Commons, and Ayres, and the 'new' institutionalism developed more recently from neoclassical and Austrian sources and including the writings of Coase, Williamson, North, Schotter, and many others. The discussion is organized around a set of key methodological, theoretical, and normative problems that necessarily confront any attempt to incorporate institutions (defined to include organizations, laws, and social norms) into economics. These are identified in terms of the issues surrounding the use of formal or non-formal analytical methods, individualist or holistic approaches, the respective roles of rational choice and rule-following behavior, the relative importance of the spontaneous evolution and deliberative design of institutions, and questions concerning the normative appraisal of institutions. The old and the new institutionalism ha

This book examines and compares the two major traditions of institutionalist thinking in economics: the 'old' institutionalism of Veblen, Mitchell, Commons, and Ayres, and the 'new' institutionalism developed more recently from neoclassical and Austrian sources and including the writings of Coase, Williamson, North, Schotter, and many others. The discussion is organized around a set of key methodological, theoretical, and normative problems that necessarily confront any attempt to incorporate institutions (defined to include organizations, laws, and social norms) into economics. These are identified in terms of the issues surrounding the use of formal or non-formal analytical methods, individualist or holistic approaches, the respective roles of rational choice and rule-following behavior, the relative importance of the spontaneous evolution and deliberative design of institutions, and questions concerning the normative appraisal of institutions. The old and the new institutionalism ha

This book explores how education can be used as a tool to promote sustainability practices as the world faces huge challenges related to climate change and public health. The chapters consider all types of literacy approaches that fall under the umbrella of Education for Sustainable Development (ESD). These approaches include scientific literacy, ecological literacy, health literacy, education on climate change and climate resilience, environmental education and others linking education, global health, and the environment more broadly. “Education” is used in the widest sense to incorporate non-formal, informal and formal/school settings. This volume will help to bring these interconnected areas together and interrogate their research methods, assumptions, field-based application and their policy potential. Taking a critical approach to ESD, the book suggests new pedagogies, tools, and technologies to strengthen the way we educate about sustainability issues and go beyond the current th

Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in a

Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in a

This lively, compact textbook introduces readers to semantics - the study of how we construct meaning in communication. Easy to follow, and with a clear structure, it explains formal terminology in a simple and understandable way, without using formal notation or logic, and draws on dozens of examples from up-to-date empirical research findings. Offering a tight integration of classic semantic issues with cognitive science, Javier Valenzuela provides a complete and coherent overview of the main topics in this area, including a review of the empirical methods used in semantic theorizing, and discussions of both non-traditional and new topics, such as how meaning is acquired by children and how meaning is constructed cross-linguistically. Featuring illustrations, exercises, activities, suggestions for further reading, highlighted key terms, and a comprehensive glossary, this book is accessible to beginners and undergraduates, including those from non-linguistic backgrounds with no prior

This lively, compact textbook introduces readers to semantics - the study of how we construct meaning in communication. Easy to follow, and with a clear structure, it explains formal terminology in a simple and understandable way, without using formal notation or logic, and draws on dozens of examples from up-to-date empirical research findings. Offering a tight integration of classic semantic issues with cognitive science, Javier Valenzuela provides a complete and coherent overview of the main topics in this area, including a review of the empirical methods used in semantic theorizing, and discussions of both non-traditional and new topics, such as how meaning is acquired by children and how meaning is constructed cross-linguistically. Featuring illustrations, exercises, activities, suggestions for further reading, highlighted key terms, and a comprehensive glossary, this book is accessible to beginners and undergraduates, including those from non-linguistic backgrounds with no prior

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.

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.