Constructive Models
by Iurii Leonidovich Ershov;Sergei S Ershov Yuri LGoncharov (9780306110665)

Constructive Models
 

Iurii Leonidovich Ershov;Sergei S Ershov Yuri LGoncharov


Release Date: 31 January 2000
Format: Hardback
Pages: 293
Category: Logic
ISBN: 9780306110665
ISBN-10: 0306110660



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 usefulfor not 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.

AUD $734.95

 This title is not held in stock & is ordered from suppliers, subject to availability.



Write a customer review of Constructive Models.



If you like this title please tell others:

tell others

post to your Facebook wall post on Twitter post on Digg recommend to Stumbleupon bookmark on Delicious RSS feed send to a friend


Australian BookShop
Australian Bookshop. Established 2003
Search
Shopping Cart Customer Support


HolisticPage
International Online Store
of Inspiration
we ship everywhere
Australia Post
Australia Wide
.
Worldwide