Recursiveness
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| Author | : Roman Murawski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2013-03-14 |
| Genre | : Philosophy |
| ISBN | : 9401728666 |
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 | : Raul V. Fabella |
| Publisher | : |
| Total Pages | : 34 |
| Release | : 1984 |
| Genre | : Agriculture |
| ISBN | : |
| Author | : Michael Woodford |
| Publisher | : Elsevier |
| Total Pages | : 822 |
| Release | : 1999 |
| Genre | : |
| ISBN | : 9780444501561 |
| Author | : Rod Adams |
| Publisher | : Docent Press |
| Total Pages | : 312 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0983700400 |
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 |
| Total Pages | : 503 |
| Release | : 2003 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9810249489 |
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 | : Craig Smorynski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642754627 |
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 | : Thomas Anderson |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2014 |
| Genre | : Computers |
| ISBN | : 9780985673529 |
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 | : Teruo Imaoka |
| Publisher | : World Scientific |
| Total Pages | : 503 |
| Release | : 2003-07-14 |
| Genre | : Mathematics |
| ISBN | : 9814488577 |
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 | : John Coleman |
| Publisher | : Cambridge University Press |
| Total Pages | : 368 |
| Release | : 2005-11-24 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9780521023504 |
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 | : Herbert B. Enderton |
| Publisher | : Academic Press |
| Total Pages | : 193 |
| Release | : 2010-12-30 |
| Genre | : Mathematics |
| ISBN | : 0123849594 |
Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. - Frequent historical information presented throughout - More extensive motivation for each of the topics than other texts currently available - Connects with topics not included in other textbooks, such as complexity theory
