Logic, Sets, and Recursion

Logic, Sets, and Recursion PDF Author: Robert L. Causey
Publisher: Jones & Bartlett Learning
ISBN: 9780763737849
Category : Computers
Languages : en
Pages : 536

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Book Description
The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

Logic, Sets, and Recursion

Logic, Sets, and Recursion PDF Author: Robert L. Causey
Publisher: Jones & Bartlett Learning
ISBN: 9780763737849
Category : Computers
Languages : en
Pages : 536

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Book Description
The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

Recursively Enumerable Sets and Degrees

Recursively Enumerable Sets and Degrees PDF Author: Robert I. Soare
Publisher: Springer Science & Business Media
ISBN: 9783540152996
Category : Mathematics
Languages : en
Pages : 460

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Book Description
..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988

Classical recursion theory : the theory of functions and sets of natural numbers

Classical recursion theory : the theory of functions and sets of natural numbers PDF Author: Piergiorgio Odifreddi
Publisher:
ISBN:
Category : Recursion theory
Languages : en
Pages : 668

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Book Description


Sets, Logic and Maths for Computing

Sets, Logic and Maths for Computing PDF Author: David Makinson
Publisher: Springer Science & Business Media
ISBN: 1447125002
Category : Computers
Languages : en
Pages : 302

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Book Description
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.

Set Theory, Logic and Their Limitations

Set Theory, Logic and Their Limitations PDF Author: Moshe Machover
Publisher: Cambridge University Press
ISBN: 9780521479981
Category : Mathematics
Languages : en
Pages : 304

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Book Description
This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

Recursion Theory

Recursion Theory PDF Author: Chi Tat Chong
Publisher: Walter de Gruyter
ISBN: 9783110275650
Category : Computers
Languages : en
Pages : 310

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Book Description
The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.

Computability

Computability PDF Author: Nigel Cutland
Publisher: Cambridge University Press
ISBN: 9780521294652
Category : Computers
Languages : en
Pages : 268

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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.

Computability Theory

Computability Theory PDF Author: Herbert B. Enderton
Publisher: Academic Press
ISBN: 0123849594
Category : Mathematics
Languages : en
Pages : 193

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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

Recursion

Recursion PDF Author: Blake Crouch
Publisher: Ballantine Books
ISBN: 1524759791
Category : Fiction
Languages : en
Pages : 338

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Book Description
NEW YORK TIMES BESTSELLER • From the bestselling author of Dark Matter and the Wayward Pines trilogy comes a relentless thriller about time, identity, and memory—his most mind-boggling, irresistible work to date, and the inspiration for Shondaland’s upcoming Netflix film. “Gloriously twisting . . . a heady campfire tale of a novel.”—The New York Times Book Review NAMED ONE OF THE BEST BOOKS OF THE YEAR BY Time • NPR • BookRiot Reality is broken. At first, it looks like a disease. An epidemic that spreads through no known means, driving its victims mad with memories of a life they never lived. But the force that’s sweeping the world is no pathogen. It’s just the first shock wave, unleashed by a stunning discovery—and what’s in jeopardy is not our minds but the very fabric of time itself. In New York City, Detective Barry Sutton is closing in on the truth—and in a remote laboratory, neuroscientist Helena Smith is unaware that she alone holds the key to this mystery . . . and the tools for fighting back. Together, Barry and Helena will have to confront their enemy—before they, and the world, are trapped in a loop of ever-growing chaos. Praise for Recursion “An action-packed, brilliantly unique ride that had me up late and shirking responsibilities until I had devoured the last page . . . a fantastic read.”—Andy Weir, #1 New York Times bestselling author of The Martian “Another profound science-fiction thriller. Crouch masterfully blends science and intrigue into the experience of what it means to be deeply human.”—Newsweek “Definitely not one to forget when you’re packing for vacation . . . [Crouch] breathes fresh life into matters with a mix of heart, intelligence, and philosophical musings.”—Entertainment Weekly “A trippy journey down memory lane . . . [Crouch’s] intelligence is an able match for the challenge he’s set of overcoming the structure of time itself.”—Time “Wildly entertaining . . . another winning novel from an author at the top of his game.”—AV Club

Fundamentals of Mathematical Logic

Fundamentals of Mathematical Logic PDF Author: Peter G. Hinman
Publisher: CRC Press
ISBN: 1439864276
Category : Mathematics
Languages : en
Pages : 895

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Book Description
This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.