Iteration Theories

Iteration Theories
Author :
Publisher : Springer Science & Business Media
Total Pages : 636
Release :
ISBN-10 : 9783642780349
ISBN-13 : 3642780342
Rating : 4/5 (342 Downloads)

Book Synopsis Iteration Theories by : Stephen L. Bloom

Download or read book Iteration Theories written by Stephen L. Bloom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.


Iteration Theories Related Books

Iteration Theories
Language: en
Pages: 636
Authors: Stephen L. Bloom
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of
The Theory and Applications of Iteration Methods
Language: en
Pages: 471
Authors: Ioannis K. Argyros
Categories: Mathematics
Type: BOOK - Published: 2022-01-20 - Publisher: CRC Press

DOWNLOAD EBOOK

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely up
Iteration Theory - Proceedings Of The European Conference
Language: en
Pages: 298
Authors: W Forg-rob
Categories:
Type: BOOK - Published: 1996-07-03 - Publisher: World Scientific

DOWNLOAD EBOOK

Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repe
Iteration Theory and its Functional Equations
Language: en
Pages: 238
Authors: Roman Liedl
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

Mathematical Aspects Of Natural And Formal Languages
Language: en
Pages: 502
Authors: Gheorghe Paun
Categories: Computers
Type: BOOK - Published: 1994-10-25 - Publisher: World Scientific

DOWNLOAD EBOOK

This book contains original reviews by well-known workers in the field of mathematical linguistics and formal language theory, written in honour of Professor So