5 edition of **Computability** found in the catalog.

Computability

K. Weihrauch

- 374 Want to read
- 3 Currently reading

Published
**1987**
by Springer-Verlag in Berlin, New York
.

Written in English

- Computable functions.,
- Recursive functions.

**Edition Notes**

Statement | Klaus Weihrauch. |

Series | EATCS monographs on theoretical computer science ;, v. 9 |

Classifications | |
---|---|

LC Classifications | QA9.59 .W45 1987 |

The Physical Object | |

Pagination | x, 517 p. : |

Number of Pages | 517 |

ID Numbers | |

Open Library | OL2376605M |

ISBN 10 | 0387137211 |

LC Control Number | 87004933 |

Computability is the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within mathematical logic and the theory of computation within computer computability of a problem is closely linked to the existence of an algorithm to solve the problem.. The most widely studied models of computability are the Turing-computable and μ. The field of mathematical logic dealing with computability and its generalizations has been called "recursion theory" since its early days. Robert I. Soare, a prominent researcher in the field, has proposed (Soare ) that the field should be called "computability theory" instead. He argues that Turing's terminology using the word "computable" is more natural and more widely understood than the .

Not many books from the infancy of computer science are still alive after several decades, but Computability and Unsolvability is the exception. And The Undecidable is an anthology of fundamental papers on undecidability and unsolvability by major figures in the field including Godel, Church, Turing, Kleene, and Post. Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and author uses illustrations, engaging examples, and historical remarks to make the material interesting and relevant for : Ganesh Lalitha Gopalakrishnan.

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem.4/5. The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect.

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GENERAL POINTS/AUTHOR PRACTICES This book is a mathematical, but not at all fully rigorous textbook on computability and recursive functions in 12 chapters on much of the standard theory.

Nigel Cutland is/was a professor of 'pure' mathematics, hence the strongly mathematical by: Davis's book Computability and Unsolvability () has been called "one of the few real classics in computer science." He is best known for his pioneering work in automated deduction and for his contributions to the solution of Hilbert's tenth by: this book takes you into the world of basic pure math.

it covers the basic elemects of math such as sets, functions, and proofs. but what is really making this book great and far apart from other similiar books is its elaboration of recursive function and computability, and i find it s: 5.

The book introduces the theory of computability and non-computability to the mathematically-comfortable. The theory of recursive functions provides entry to that theoretical territory at the limits of what is computable and what is by: Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the s.

This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their Cited by: Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's by: Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers.

Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and Computability and Unsolvability (Dover Books on Computer Science) Martin Davis.

out of 5 stars Kindle Edition. $ Introduction to the Theory of Computation Michael Sipser. out of 5 stars Kindle Edition. $ A Mathematical Introduction to Logic Herbert B. by: In the s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability.

This work, advancing precise characterizations of effective, algorithmic computability, was the culmination. In the remaining chapters, Turing machines are introduced and the book culminates in analyses of effective computability, decidability, and Gödel's incompleteness theorems.

Students who already have some experience with elementary discrete mathematics will find this a well-paced first course, and a number of supplementary chapters introduce Reviews: book is designed to be an introduction to the basic ideas and results of computability theory (or recursiQil theory, as it is traditionally known among mathematicians).

The initial purpose of computability theory is to make precise the intuitive idea of a computable function; that is, a function whose valuesFile Size: 8MB. Chapter Computability true so far. Initially, T0 is the set of axioms in the system.

To be a proof of G, TN must contain G. To be a valid proof, each step should be producible from previous step and. This book is perfectly suited for class work and individual study, successfully achieving the goal of painlessly introducing technical matter in a This highly readable and intuitive introduction to computability theory contains a great many background discussions which introduce the reader to the researched history and philosophical aspects of recursion theory and logic/5(7).

The aim of this textbook is to provide undergraduate students with an introduction to the basic theoretical models of computability, and to develop some of the model's rich and varied structure. Students who have already some experience with elementary discrete mathematics will find this a well-paced first course, and a number of supplementary chapters introduce more advanced concepts.

This book is a general introduction to computability and complexity theory. It should be of interest to beginning programming language researchers who are interested in com-putability and complexity theory, or vice versa.

The view from Olympus Unlike most ﬁelds within computer science, computability and complexity theory dealsFile Size: 1MB. In the s a series of seminal works published by Alan Turing, Kurt Godel, Alonzo Church, and others established the theoretical basis for computability.

This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics/5.

Written by a leading researcher, Computability 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. Discrete Structures, Logic, and Computability and millions of other books are available for Amazon Kindle. Learn more.

Discrete Structures, Logic, and Computability 3rd Edition by James L. Hein (Author) › Visit Amazon's James L.

Hein Page. Find all the books, read about the author, and more. /5(29). Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata.

It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. This book discusses as well the fundamental properties of the partial recursive functions and the recursively enumerable sets.

The final chapter deals with different formulations of the basic ideas of computability that are equivalent to Turing-computability.

This book is a valuable resource for undergraduate or graduate Edition: 1. Classical Computability Theory The foundation, Turing’s analysis In Leary [2] (the text book used locally for the introductory course on logic) the recursive functions are de ned as those that can be represented in elementary number theory.

f: Nk!N is recursive if there is a formula ˚(x 1;;x k;y) such that for all n 1;;n k;mwe. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Library. Top Computability, an introduction to recursive function theory Item Preview remove-circle Share or Embed This : In the s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability.

This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of Cited by: 7.