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Author: Roman Murawski Publisher: Springer Science & Business Media ISBN: 9401728666 Category : Philosophy Languages : en Pages : 416
Book Description
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Author: Roman Murawski Publisher: Springer Science & Business Media ISBN: 9401728666 Category : Philosophy Languages : en Pages : 416
Book Description
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Author: Rod Adams Publisher: Docent Press ISBN: 0983700400 Category : Mathematics Languages : en Pages : 312
Book Description
Traces the development of recursive functions from their origins in the late nineteenth century to the mid-1930s, with particular emphasis on the work and influence of Kurt Gödel.
Author: Masami It? Publisher: World Scientific ISBN: 9810249489 Category : Language Arts & Disciplines Languages : en Pages : 503
Book Description
The research results published in this book range from pure mathematical theory (semigroup theory, discrete mathematics, etc.) to theoretical computer science, in particular formal languages and automata. The papers address issues in the algebraic and combinatorial theories of semigroups, words and languages, the structure theory of automata, the classification theory of formal languages and codes, and applications of these theories to various areas, like quantum and molecular computing, coding theory, and cryptography.
Author: Thomas Anderson Publisher: ISBN: 9780985673529 Category : Computers Languages : en Pages : 0
Book Description
Over the past two decades, there has been a huge amount of innovation in both the principles and practice of operating systems Over the same period, the core ideas in a modern operating system - protection, concurrency, virtualization, resource allocation, and reliable storage - have become widely applied throughout computer science. Whether you get a job at Facebook, Google, Microsoft, or any other leading-edge technology company, it is impossible to build resilient, secure, and flexible computer systems without the ability to apply operating systems concepts in a variety of settings. This book examines the both the principles and practice of modern operating systems, taking important, high-level concepts all the way down to the level of working code. Because operating systems concepts are among the most difficult in computer science, this top to bottom approach is the only way to really understand and master this important material.
Author: Craig Smorynski Publisher: Springer Science & Business Media ISBN: 3642754627 Category : Mathematics Languages : en Pages : 416
Book Description
Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.
Author: R. Bruce Williams Publisher: Simon and Schuster ISBN: 163220973X Category : Education Languages : en Pages : 141
Book Description
Explicit instruction in thinking skills must be a priority goal of all teachers. In this book, the author presents a framework of the five Rs: Relevancy, Richness, Relatedness, Rigor, and Recursiveness. The framework serves to illuminate instruction in critical and creative thinking skills for K-12 teachers across content areas. Each chapter treats one category of thinking skills. A chapter begins with a brief anecdote that illustrates the category, then discusses the skill, presents relevant life questions, and concludes by examining chosen strategies for the three thinking levels.
Author: John Coleman Publisher: Cambridge University Press ISBN: 9780521023504 Category : Language Arts & Disciplines Languages : en Pages : 368
Book Description
Rewriting rules, derivations and underlying representations is an enduring characteristic of generative phonology. In this book, John Coleman argues that this is unnecessary. The expressive resources of context-free Unification grammars are sufficient to characterize phonological structures and alternations. According to this view, all phonological forms and constraints are partial descriptions of surface representations. This framework, now called Declarative Phonology, is based on a detailed examination of the formalisms of feature-theory, syllable theory and the leading varieties of nonlinear phonology. Dr Coleman illustrates this with two extensive analyses of the phonological structure of words in English and Japanese. As Declarative Phonology is surface-based and highly restrictive, it is consistent with cognitive psychology and amenable to straightforward computational implementation.
Author: Boelie Elzen Publisher: Edward Elgar Publishing ISBN: 9781845423421 Category : Business & Economics Languages : en Pages : 344
Book Description
Modern societies face several structural problems such as transport congestion and greenhouse gas emissions due to the widespread use of fossil fuels. To address these important societal problems and achieve sustainability in the broad sense, major transformations are required, but this poses an enormous challenge given the complexity of the processes involved. Such transformations are called 'transitions' or 'system innovations' and involve changes in a variety of elements, including technology, regulation, user practices and markets, cultural meaning and infrastructure. This book considers two main questions: how do system innovations or transitions come about and how can they be influenced by different actors, in particular by governments. The authors identify the theories which can be used to conceptualise the dynamics of system innovations and discuss the weaknesses in these theories. They also look at the lessons which can be learned from historical examples of transitions, and highlight the instruments and policy tools which can be used to stimulate future system innovations towards sustainability. The expert contributors address these questions using insights from a variety of different disciplines including innovation studies, evolutionary economics, the sociology of technology, environmental analysis and governance studies. The book concludes with an extensive summary of the results and practical suggestions for future research. This important new volume offers an interdisciplinary assessment of how and why system innovations occur. It will engage and inform academics and researchers interested in transitions towards sustainability, and will also be highly relevant for policymakers concerned with environmental issues, structural change and radical innovation.
Author: Roman Murawski
Author: Roman Murawski
Author: Rod Adams
Author: Raul V. Fabella
Author: Michael Woodford
Author: Masami It?
Author: Thomas Anderson
Author: Craig Smorynski
Author: R. Bruce Williams
Author: John Coleman
Author: Boelie Elzen