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Abstract Computing Machines : A Lambda Calculus Perspective - Werner Kluge

Abstract Computing Machines

A Lambda Calculus Perspective

Hardcover

Published: 18th February 2005
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The book addresses ways and means of organizing computations, highlighting the relationship between algorithms and the basic mechanisms and runtime structures necessary to execute them using machines. It completely abstracts from concrete programming languages and machine architectures, taking instead the lambda calculus as the basic programming and program execution model to design various abstract machines for its correct implementation.The emphasis is on fully normalizing machines based on a full-fledged beta-reduction as an essential prerequisite for symbolic computations that treat functions and variables truly as first-class objects. Their weakly normalizing counterparts are shown to be functional abstract machines that sacrifice the flavors of full beta-reductions for decidedly simpler runtime structures and improved runtime efficiency. Further downgrading of the lambda calculus leads to classical imperative (von Neumann) machines that permit side-effecting operations on the runtime environment.

From the reviews:

"This remarkable monograph is an extremely well-written and pleasant and reading about abstract computing machines ... . The author chooses a somewhat `imperative' approach to teaching, which results in the survey of a vast number of concepts provided with many useful examples. The expository style is most favourable, which could be of special value for a reader with no strong background in the area. ... Altogether, this is a book worth reading." (Vladimir Komendantsky, Mathematical Reviews, Issue 2007 k)

Preliminary
Algorithms and Programs
An Algorithmic Language
The Lambda Calculus
The SE(M)CD-Machine
Towards Full-fledged Lambda Calculus Machines
Head-order Graph Reduction
The B-Machine
The G-Machine
The p-RED Machinery
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540211464
ISBN-10: 3540211462
Series: Texts in Theoretical Computer Science. An EATCS Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 18th February 2005
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 0.8