Recursion Theory PDF Download
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Author | : Raymond M. Smullyan |
Publisher | : Oxford University Press |
Total Pages | : 180 |
Release | : 1993-01-28 |
Genre | : Mathematics |
ISBN | : 0195344812 |
Download Recursion Theory for Metamathematics Book in PDF, ePub and Kindle
This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Author | : Hartley Rogers |
Publisher | : National Geographic Books |
Total Pages | : 0 |
Release | : 1987-04-22 |
Genre | : Computers |
ISBN | : 0262680521 |
Download Theory of Recursive Functions and Effective Computability Book in PDF, ePub and Kindle
(Reprint of the 1967 edition)
Author | : Chi Tat Chong |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 320 |
Release | : 2015-08-17 |
Genre | : Mathematics |
ISBN | : 311038129X |
Download Recursion Theory Book in PDF, ePub and Kindle
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Author | : Gerald E. Sacks |
Publisher | : Cambridge University Press |
Total Pages | : 361 |
Release | : 2017-03-02 |
Genre | : Mathematics |
ISBN | : 1107168430 |
Download Higher Recursion Theory Book in PDF, ePub and Kindle
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author | : Herbert B. Enderton |
Publisher | : Academic Press |
Total Pages | : 193 |
Release | : 2010-12-30 |
Genre | : Mathematics |
ISBN | : 0123849594 |
Download Computability Theory Book in PDF, ePub and Kindle
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
Author | : Anil Nerode |
Publisher | : American Mathematical Soc. |
Total Pages | : 538 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821814478 |
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Author | : Piergiorgio Odifreddi |
Publisher | : |
Total Pages | : 668 |
Release | : 1999 |
Genre | : Recursion theory |
ISBN | : 9780444589439 |
Download Classical recursion theory : the theory of functions and sets of natural numbers Book in PDF, ePub and Kindle
Author | : Nigel Cutland |
Publisher | : Cambridge University Press |
Total Pages | : 268 |
Release | : 1980-06-19 |
Genre | : Computers |
ISBN | : 9780521294652 |
Download Computability Book in PDF, ePub and Kindle
What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Author | : Andrea Sorbi |
Publisher | : CRC Press |
Total Pages | : 384 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 0429529953 |
Download Complexity, Logic, and Recursion Theory Book in PDF, ePub and Kindle
"Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Author | : Robert I. Soare |
Publisher | : Springer |
Total Pages | : 289 |
Release | : 2016-06-20 |
Genre | : Computers |
ISBN | : 3642319335 |
Download Turing Computability Book in PDF, ePub and Kindle
Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.