Domains and Lambda-Calculi (Cambridge Tracts in Theoretical Computer Science, Series Number 46) - Hardcover

Book 23 of 40: Cambridge Tracts in Theoretical Computer Science

Amadio, Roberto M.; Curien, Pierre-Louis

 
9780521622776: Domains and Lambda-Calculi (Cambridge Tracts in Theoretical Computer Science, Series Number 46)

Synopsis

This book describes the mathematical aspects of the semantics of programming languages. The main goals are to provide formal tools to assess the meaning of programming constructs in both a language-independent and a machine-independent way and to prove properties about programs, such as whether they terminate, or whether their result is a solution of the problem they are supposed to solve. In order to achieve this the authors first present, in an elementary and unified way, the theory of certain topological spaces that have proved of use in the modeling of various families of typed lambda calculi considered as core programming languages and as meta-languages for denotational semantics. This theory is now known as Domain Theory, and was founded as a subject by Scott and Plotkin. One of the main concerns is to establish links between mathematical structures and more syntactic approaches to semantics, often referred to as operational semantics, which is also described. This dual approach has the double advantage of motivating computer scientists to do some mathematics and of interesting mathematicians in unfamiliar application areas from computer science.

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Book Description

This book describes the mathematical aspects of the semantics of programming languages. The main goals are to provide formal tools to assess the meaning of programming constructs in both a language-independent and a machine-independent way, and to prove properties about programs, such as whether they terminate, or whether their result is a solution of the problem they are supposed to solve. To do this the authors explain denotational and operational semantics and exploit the duality between them.

About the Author

Amadio-Universite de Provence, Marseille

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780521062923: Domains and Lambda-Calculi (Cambridge Tracts in Theoretical Computer Science, Series Number 46) (Volume 0)

Featured Edition

ISBN 10:  0521062926 ISBN 13:  9780521062923
Publisher: Cambridge University Press, 2008
Softcover