shop by
Category
items
0 

Constructive Models (Hardcover)

Customer Reviews   Write a Review

Be the first to review this item and earn 25 Rakuten Super Points™

Product Overview

The theory of constructive (recursive) models follows from works of Froehlich, Shepherdson, Mal'tsev, Kuznetsov, Rabin, and Vaught in the 50s. Within the framework of this theory, algorithmic properties of abstract models are investigated by constructing representations on the set of natural numbers and studying relations between algorithmic and structural properties of these models.This book is a very readable exposition of the modern theory of constructive models and describes methods and approaches developed by representatives of the Siberian school of algebra and logic and some other researchers (in particular, Nerode and his colleagues). The main themes are the existence of recursive models and applications to fields, algebras, and ordered sets (Ershov), the existence of decidable prime models (Goncharov, Harrington), the existence of decidable saturated models (Morley), the existence of decidable homogeneous models (Goncharov and Peretyat'kin), properties of the Ehrenfeucht theories (Millar, Ash, and Reed), the theory of algorithmic dimension and conditions of autostability (Goncharov, Ash, Shore, Khusainov, Ventsov, and others), and the theory of computable classes of models with various properties.Future perspectives of the theory of constructive models are also discussed. Most of the results in the book are presented in monograph form for the first time.The theory of constructive models serves as a basis for recursive mathematics. It is also useful in computer science, in particular, in the study of programming languages, higher level languages of specification, abstract data types, and problems of synthesis and verification of programs. Therefore, the book will be useful fornot only specialists in mathematical logic and the theory of algorithms but also for scientists interested in the mathematical fundamentals of computer science.The authors are eminent specialists in mathematical logic. They have established fundamental results on elementary theories, model theory, the theory of algorithms, field theory, group theory, applied logic, computable numberings, the theory of constructive models, and the theoretical computer science.

Specifications

Publisher Springer
Mfg Part# 9780306110665
SKU 203127126
Format Hardcover
ISBN10 0306110660
Release Date 4/10/2007
Product Attributes
Book Format Hardcover
Number of Pages 0294
Publisher Springer
loading
$509.68 + $2.75 shipping
Rakuten Super Points Earn 510 ($5.10) Rakuten Super Points™
What are Rakuten Super Points™?
Get rewarded when you shop! Earn 1 point per dollar spent. That's like getting cash back on every purchase. Easy to see matured points in checkout. Use points just like cash.
Learn More
Get this item for
(price with shipping)
(redeem points)
Format: Hardcover
Condition: Brand New
In Stock. Usually Ships in 1 to 2 business days
Please select an option to buy
Add to Cart

Sold By:  UnbeatableSale
What is a Marketplace and Shop Owner?
  • Our marketplace is a platform where approved third-party retailers (Shop Owners) can sell their products
  • Items are sold and shipped by Shop Owners
  • Your credit card and personal information remain secure; Rakuten.com meets all PCI Security Standards.
  • Purchases can only be returned to the Shop Owner
  • All purchases receive Rakuten Super Points™
ADVERTISEMENT
Promotions & Offers (1)
  •  custom promo
    5% Back* Sitewide with Promo Code Rewardme *See page for details
ADVERTISEMENT
ADVERTISEMENT