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portada Domains and Lambda-Calculi Hardback (Cambridge Tracts in Theoretical Computer Science)
Type
Physical Book
Year
1998
Language
English
Pages
504
Format
Hardcover
Dimensions
24.1 x 15.8 x 3.7 cm
Weight
0.94 kg.
ISBN
0521622778
ISBN13
9780521622776
Edition No.
1

Domains and Lambda-Calculi Hardback (Cambridge Tracts in Theoretical Computer Science)

Roberto M. Amadio (Author) · Pierre-Louis Curien (Author) · Cambridge University Press · Hardcover

Domains and Lambda-Calculi Hardback (Cambridge Tracts in Theoretical Computer Science) - Amadio, Roberto M. ; Curien, Pierre-Louis

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Synopsis "Domains and Lambda-Calculi Hardback (Cambridge Tracts in Theoretical Computer Science)"

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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