Domains and Lambda-calculi
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Domains and Lambda-calculi by Roberto M. Amadio
Book DescriptionThis 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 modelling of various families of typed lambda calculi considered as core programming languages and as meta-languages for denotational semantics. This theory is 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 DetailsISBN: 9780521062923
(228mm x 152mm x 29mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-May-2008
Country of Publication: United Kingdom
Books By Author Roberto M. Amadio
Domains and Lambda Calculi, Hardback (July 1998)» View all books by Roberto M. Amadio
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
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