Turing Computability : Theory and Applications
Soare, Robert I.
Sold by GreatBookPrices, Columbia, MD, U.S.A.
AbeBooks Seller since 6 April 2009
New - Hardcover
Condition: New
Ships within U.S.A.
Quantity: Over 20 available
Add to basketSold by GreatBookPrices, Columbia, MD, U.S.A.
AbeBooks Seller since 6 April 2009
Condition: New
Quantity: Over 20 available
Add to basketTuring'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 IIincludes 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.
Robert Soare is the Paul Snowden Russell Distinguished Service Professor Emeritus of Mathematics and Computer Science at the University of Chicago. He was the founding chairman of the Department of Computer Science in 1983. He has supervised the dissertations of nineteen Ph.D. students using the content of this book. He wrote the primary reference on computability theory for students and researchers: Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets (Springer, 1987). He is the author of numerous papers on computability theory and mathematical logic. His 1974 Annals of Mathematics paper on automorphisms of computably enumerable sets was selected in the 2003 book by Gerald Sacks as one of the most important in mathematical logic in the twentieth century. He has been an invited speaker at the International Congress of Mathematicians, and a plenary speaker at the International Congress of Logic, Methodology, and Philosophy of Science, the Association of Symbolic Logic Centennial in 2000, the British Mathematical Colloquium in 2012, the Royal Society Meeting on the Incomputable in 2012, and Computability in Europe (CiE) in 2007 and 2012. He was the winner of the 2011 University of Chicago Award for Excellence in Graduate Teaching and is a Fellow of the American Mathematical Society.
"About this title" may belong to another edition of this title.
Company Name: GreatBookPrices
Legal Entity: Expert Trading, LLC
Address: 6310 Stevens Forest, suite 200, Columbia MD 21046
Email address: CustomerService@SuperBookDeals.com
Phone number: 410-964-0026
consumer complaints can be addressed to address above
Registration #: 52-1713923
Authorized representative: Danielle Hainsey
If you are a consumer you can cancel the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
INFORMATION REGARDING THE RIGHT OF CANCELLATION
Statutory Right to cancel
You have the right to cancel this contract within 14 days without giving any reason.
The cancellation period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the the last good or the last lot or piece.
To exercise the right to cancel, you must inform us, GreatBookPrices, 6310 Stevens Forest Rd, Suite 200, 21046, Columbia, Maryland, U.S.A., 1 410-964-0026, of your decision to cancel this contract by a clear statement (e.g. a letter sent by post, fax or e-mail). You may use the attached model cancellation form, but it is not obligatory. You can also electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". If you use this option, we will communicate to you an acknowledgement of receipt of such a cancellation on a durable medium (e.g. by e-mail) without delay.
To meet the cancellation deadline, it is sufficient for you to send your communication concerning your exercise of the right to cancel before the cancellation period has expired.
Effects of cancellation
If you cancel this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to cancel with contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to us or GreatBookPrices, 902B Paramount Pkwy, Ref: [transaction or order number], 60510, Batavia, Illinois, U.S.A., 1 410-964-0026, without undue delay and in any event not later than 14 days from the day on which you communicate your cancellation from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of cancellation
The right of cancellation does not apply to:
Model withdrawal form
(complete and return this form only if you wish to withdraw from the contract)
To: (GreatBookPrices, 6310 Stevens Forest Rd, Suite 200, 21046, Columbia, Maryland, U.S.A., 1 410-964-0026)
I/We (*) hereby give notice that I/We (*) withdraw from my/our (*) contract of sale of the following goods (*)/for the provision of the following goods (*)/for the provision of the following service (*),
Ordered on (*)/received on (*)
Name of consumer(s)
Address of consumer(s)
Signature of consumer(s) (only if this form is notified on paper)
Date
* Delete as appropriate.
Our warehouses across the globe are fully operational without substantial delays. We are working hard and continue to overcome the daily challenges presented by COVID-19. We appreciate your understanding.
Internal processing of your order will take about 1-2 business days. Please allow an additional 4-14 business days for Media Mail delivery. We have multiple ship-from locations - MD,IL,NJ,UK,IN,NV,TN & GA
| Order quantity | 8 to 14 business days | 5 to 14 business days |
|---|---|---|
| First item | £ 1.95 | £ 1.95 |
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.