Theory of Recursive Functions and Effective Computability PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Theory of Recursive Functions and Effective Computability PDF full book. Access full book title Theory of Recursive Functions and Effective Computability by Hartley Rogers. Download full books in PDF and EPUB format.
Author: Hartley Rogers
Publisher: National Geographic Books
ISBN: 0262680521
Category : Computers
Languages : en
Pages : 0
Get Book Here
Book Description
(Reprint of the 1967 edition)
Author: Hartley Rogers
Publisher: National Geographic Books
ISBN: 0262680521
Category : Computers
Languages : en
Pages : 0
Get Book Here
Book Description
(Reprint of the 1967 edition)
Author: Hartley Rogers (Jr.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 482
Get Book Here
Book Description
Author: Hartley Rogers
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 526
Get Book Here
Book Description
Author: Nigel Cutland
Publisher: Cambridge University Press
ISBN: 9780521294652
Category : Computers
Languages : en
Pages : 268
Get Book Here
Book Description
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: Gerald E. Sacks
Publisher: Cambridge University Press
ISBN: 1107168430
Category : Computers
Languages : en
Pages : 361
Get Book Here
Book Description
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 0521857848
Category : Mathematics
Languages : en
Pages : 376
Get Book Here
Book Description
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
Author: Piergiorgio Odifreddi
Publisher:
ISBN: 9780444589439
Category : Recursion theory
Languages : en
Pages : 668
Get Book Here
Book Description
Author: Herbert B. Enderton
Publisher: Academic Press
ISBN: 0123849594
Category : Mathematics
Languages : en
Pages : 193
Get Book Here
Book Description
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: E.R. Griffor
Publisher: Elsevier
ISBN: 0080533043
Category : Mathematics
Languages : en
Pages : 741
Get Book Here
Book Description
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.
Author: Robert I. Soare
Publisher: Springer
ISBN: 3642319335
Category : Computers
Languages : en
Pages : 289
Get Book Here
Book Description
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.
