Skip to content
Register Sign in Wishlist

Abstract Recursion and Intrinsic Complexity

£95.00

Part of Lecture Notes in Logic

  • Date Published: December 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781108415583

£ 95.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book presents and applies a framework for studying the complexity of algorithms. It is aimed at logicians, computer scientists, mathematicians and philosophers interested in the theory of computation and its foundations, and it is written at a level suitable for non-specialists. Part I provides an accessible introduction to abstract recursion theory and its connection with computability and complexity. This part is suitable for use as a textbook for an advanced undergraduate or graduate course: all the necessary elementary facts from logic, recursion theory, arithmetic and algebra are included. Part II develops and applies an extension of the homomorphism method due jointly to the author and Lou van den Dries for deriving lower complexity bounds for problems in number theory and algebra which (provably or plausibly) restrict all elementary algorithms from specified primitives. The book includes over 250 problems, from simple checks of the reader's understanding, to current open problems.

    • Presents and applies a new framework for the complexity of algorithms
    • Largely self-contained, the book provides all necessary facts from logic, recursion theory, arithmetic and algebra
    • Contains over 250 problems to help the reader get to grips with the material
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: December 2018
    • format: Hardback
    • isbn: 9781108415583
    • length: 250 pages
    • dimensions: 235 x 157 x 18 mm
    • weight: 0.47kg
    • contains: 5 b/w illus. 260 exercises
    • availability: In stock
  • Table of Contents

    Introduction
    1. Preliminaries
    Part I. Abstract (First Order) Recursion:
    2. Recursive (McCarthy) programs
    3. Complexity theory for recursive programs
    Part II. Intrinsic Complexity:
    4. The homomorphism method
    5. Lower bounds from Presburger primitives
    6. Lower bounds from division with remainder
    7. Lower bounds from division and multiplication
    8. Non-uniform complexity in N
    9. Polynomial nullity (0-testing)
    References
    Symbol index
    General index.

  • Author

    Yiannis N. Moschovakis, University of California, Los Angeles
    Yiannis N. Moschovakis is Professor Emeritus and Distinguished Research Professor of Mathematics at the University of California, Los Angeles, and Professor Emeritus at the University of Athens. Among his many professional commendations he is a Fellow of the AMS and a corresponding member of the Academy of Athens. He has received Guggenheim and Sloan Fellowships and has been an invited speaker at the International Congress of Mathematicians. Professor Moschovakis has worked primarily in the theory of recursion, descriptive set theory and the foundations of the theory of algorithms and computation.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×