Formal Methods

Software development consultant Wiegers describes various formal and informal methods for conducting a peer review program, such as pair programming, team reviews, the "walkthrough," and the ad hoc re

Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavior

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

This collection of articles by well-known experts was originally published in 2000 and is intended for researchers in computer science, practitioners of formal methods, and computer programmers working in safety-critical applications or in the technology of component-based systems. The work brings together several elements of this area that were fast becoming the focus of much research and practice in computing. The introduction by Clemens Szyperski gives a snapshot of research in the field. About half the articles deal with theoretical frameworks, models, and systems of notation; the rest of the book concentrates on case studies by researchers who have built prototype systems and present findings on architectures verification. The emphasis is on advances in the technological infrastructure of component-based systems; how to design and specify reusable components; and how to reason about, verify, and validate systems from components. Thus the book shows how theory might move into pract

"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

An introductory text for undergraduates. Begins by defining basics of probability and inductive logic, then guides readers through more formal methods in a clear, straightforward style. Chapter units

First published in 1999, Dynamic Issues in Commercial Policy Analysis focuses on the explicit specification of dynamic mechanisms in the formal analytics of trade models. A wide range of modelling approaches is employed to investigate an even wider range of policy issues, with an overall objective of further extension of the basic conceptual framework of applied commercial policy analysis in the direction of dynamic issues and applications. Professors Baldwin and Francois and their contributors emphasise methods for the analysis of interactions between commercial policy and leading policy issues, including investment performance, economic growth and innovation, the location of industry, migration, and the environment.

Many economic problems are also ethical problems: should we value economic equality? how much should we care about preserving the environment? how should medical resources be divided between saving life and enhancing life? This book examines some of the practical issues that lie between economics and ethics, and shows how utility theory can contribute to ethics. John Broome's work has, unusually, combined sophisticated economic and philosophical expertise, and Ethics Out of Economics brings together some of his most important essays, augmented with an updated introduction. The first group of essays deals with the relation between preference and value, the second with various questions about the formal structure of good, and the concluding section with the value of life. This work is of interest and importance for both economists and philosophers, and shows powerfully how economic methods can contribute to moral philosophy.

Many economic problems are also ethical problems: should we value economic equality? how much should we care about preserving the environment? how should medical resources be divided between saving life and enhancing life? This book examines some of the practical issues that lie between economics and ethics, and shows how utility theory can contribute to ethics. John Broome's work has, unusually, combined sophisticated economic and philosophical expertise, and Ethics Out of Economics brings together some of his most important essays, augmented with an updated introduction. The first group of essays deals with the relation between preference and value, the second with various questions about the formal structure of good, and the concluding section with the value of life. This work is of interest and importance for both economists and philosophers, and shows powerfully how economic methods can contribute to moral philosophy.

Pictures, painted and carved in caves and on open rock surfaces, are amongst our loveliest relics from prehistory. This pioneering set of sparkling essays goes beyond guesses as to what the pictures mean, instead exploring how we can reliably learn from rock-art as a material record of distant times: in short, rock-art as archaeology. Sometimes contact-period records offer some direct insight about indigenous meaning, so we can learn in that informed way. More often, we have no direct record, and instead have to use formal methods to learn from the evidence of the pictures themselves. The book's eighteen papers range wide in space and time, from the Palaeolithic of Europe to nineteenth-century Australia. Using varied approaches within the consistent framework of informed and proven methods, they make key advances in using the striking and reticent evidence of rock-art to archaeological benefit.

The Urban Image of Augustan Rome examines the idea and experience of the ancient city at a critical moment, when Rome became an Imperial capital. Lacking dignity, unity, and a clear image during the Republic, the urban image of Rome became focused only when the state came under the control of Augustus, the first emperor, who transformed the city physically and conceptually. Intervening in an ad hoc manner, he repaired existing public structures, added numerous new monuments, established municipal offices for urban care, and promoted an enduring aesthetic. Directed by a single vision, the cumulative results were forceful and unified. This book explores for the first time the motives for urban intervention, methods for implementation and the socio-political context of the Augustan period, as well as broader design issues such as formal urban strategies and definitions of urban imagery.

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.

Not so many years ago, it would have been difficult to find more than a handful of examples of the use of formal methods in industry. Today however, the industrial application of formal methods is bec

This is the first of a three-volume collection of David Lewis's most recent papers in all the areas to which he has made significant contributions. The purpose of this collection (and the two volumes to follow) is to disseminate even more widely the work of a preeminent and influential late twentieth-century philosopher. The papers are now offered in a readily accessible format. This first volume is devoted to Lewis's work on philosophical logic from the last twenty-five years. The topics covered include: deploying the methods of formal semantics from artificial formalised languages to natural languages, model-theoretic investigations of intensional logic, contradiction, relevance, the differences between analog and digital representation, and questions arising from the construction of ambitious formalised philosophical systems. The volume will serve as an important reference tool for all philosophers and their students.

This is the first of a three-volume collection of David Lewis's most recent papers in all the areas to which he has made significant contributions. The purpose of this collection (and the two volumes to follow) is to disseminate even more widely the work of a preeminent and influential late twentieth-century philosopher. The papers are now offered in a readily accessible format. This first volume is devoted to Lewis's work on philosophical logic from the last twenty-five years. The topics covered include: deploying the methods of formal semantics from artificial formalised languages to natural languages, model-theoretic investigations of intensional logic, contradiction, relevance, the differences between analog and digital representation, and questions arising from the construction of ambitious formalised philosophical systems. The volume will serve as an important reference tool for all philosophers and their students.

This book gives an introduction to theories of computability from a mathematically sophisticated point of view. It treats not only 'the' theory of computability (created by Alan Turing and others in the 1930s), but also a variety of other theories (of Boolean functions, automata and formal languages). These are addressed from the classical perspective of their generation by grammars and from the modern perspective as rational cones. The treatment of the classical theory of computable functions and relations takes the form of a tour through basic recursive function theory, starting with an axiomatic foundation and developing the essential methods in order to survey the most memorable results of the field. This authoritative account by one of the leading lights of the subject will prove exceptionally useful reading for graduate students, and researchers in theoretical computer science and mathematics.

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

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.

Argumentation theory is a distinctly multidisciplinary field of inquiry. It draws its data, assumptions, and methods from disciplines as disparate as formal logic and discourse analysis, linguistics a

Classic study of penmanship, lettering and illumination covers fundamentals of acquiring a formal hand, creating manuscript books, techniques of illumination, lettering and methods of constructing and

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

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

The contents of this volume are drawn from the seventh International Symposium in Economic Theory and Econometrics, and represent recent advances in the development of concepts and methods in political economy. Contributors include leading practitioners working on formal, applied, and historical approaches to the subject. The collection will interest scholars in the fields of political science and political sociology no less than economics. Part I outlines relevant concepts in political economy, including implementation, community, ideology, and institutions. Part II covers theory and applications of the spatial model of voting. Part III considers the different characteristics that govern the behaviour of institutions, while Part IV analyses competition between political representatives. Part V is concerned with the way in which government acquires information held by voters or advisors, and Part VI addresses government choice on monetary policy and taxation.

This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approa

This book sets out a generative structuralist conception of general theoretical sociology; its philosophy, its problems, and its methods. The field is defined as a comprehensive research tradition with many intersecting subtraditions that share conceptual components. The focus is on formalization and unification as processes that can help advance the state of theory today. An integrative philosophy of the field is set out in terms of a process worldview, with a focus on generativity in explanation and a conception of the structure of theories as hierarchical meaning control systems. This philosophy is implemented in two phases. In the first phase, Professor Fararo defines the core problems of theoretical sociology in the context of setting out and illustrating the logic of a nonlinear dynamical social systems framework. A critical analysis of the outcome of this phase then leads, in the second phase, to formal treatments of action principles and structural analysis. A variety of tradit

Despite the many formal methods available most decisions are made intuitively that is, without apparent reasoning and almost instinctively. This revised and updated edition emphasizes the unstructured

In this classic argument for curriculum reform in early education, Jerome Bruner shows that the basic concepts of science and the humanities can be grasped intuitively at a very early age. He argues persuasively that curricula should he designed to foster such early intuitions and then build on them in increasingly formal and abstract ways as education progresses.Bruner's foundational case for the spiral curriculum has influenced a generation of educators and will continue to be a source of insight into the goals and methods of the educational process.

Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods ? including algorithms a

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.

In this 1970 introduction to philosophy Mr Taylor concentrates on two central topics - explanation and meaning. He takes the argument far enough to acquaint the reader first-hand with the methods and approach of analytical philosophy, and yet because of the scope of these two topics he is able to introduce many of the traditional philosophical problems in epistemology, metaphysics, ethics, aesthetics, and logic. By this approach he avoids the dangers both of superficiality and of undue technicality. Philosophers are concerned to analyse and describe certain concepts and modes of argument, not to establish facts or conclusions of any sort that can be tested by formal demonstration or controlled observation; their findings cannot be conveniently categorized or graded into a comprehensive and progressive course of studies. Mr Taylor meets this difficulty with his extended discussions of specific topics and questions which have implications over the whole subject.

Offers students with an understanding of fundamental models in macroeconomics, and introduces them to the methods of formal macroeconomic analysis. This book focuses on macroeconomics for the long run

"Necessity is the mother of invention. " Part I: What is in this book - details. There are several different types of formal proof procedures that logicians have invented. The ones we consid

Welcome to SpringboardSome books on practical English cover only the formal side of business language, while others simply focus on casual everyday conversation. Springboard combines both styles to offer a comprehensive, well-rounded approach to learning how to use English naturally in a business environment.Springboard is split into two books that allow learners to immerse themselves in English material appropriate to their fluency level. Each unit utilizes a wide variety of methods to help learners progress. These include activities aimed at boosting learners’ listening, reading, writing, vocabulary, grammar and confidence in interacting with others. The books get progressively more difficult with the introduction of new grammar points, vocabulary and business English tips in each unit.Springboard assists learners in learning how to interact in a variety of real-world business environments. Units such as Coffee Break, Social Media, Downtime Fun and Let’s Party remind learners that so

In Software Abstractions Daniel Jackson introduces an approach tosoftware design that draws on traditional formal methods but exploits automated tools to find flawsas early as possible. This approach-

HIS BOOK CONTAINS a most comprehensive text that presents syntax-directed and compositional methods for the formal veri?- T cation of programs. The approach is not language-bounded in the sense that i

Modern psychology began with the adoption of experimental methods at the end of the nineteenth century: Wilhelm Wundt established the first formal laboratory in 1879; uni

In Software Abstractions Daniel Jackson introduces a new approach to software design that draws on traditional formal methods but exploits automated tools to find flaws a

Assuming no prior knowledge of research methods and techniques, this book is the perfect companion for teachers at all levels undergoing professional development who need to enhance their formal refle

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers,

An original, informal introduction to modern formal logic that both beginners and those with some knowledge of formal methods will appreciate. Covers all the key methods in both truth-functional and f