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Axiomatic Domain Theory in Categories of Partial Maps

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Axiomatic Domain Theory in Categories of Partial Maps Cover

 

Synopses & Reviews

Publisher Comments:

Axiomatic categorical domain theory is crucial for understanding the meaning of programs and reasoning about them. This book is the first systematic account of the subject and studies mathematical structures suitable for modelling functional programming languages in an axiomatic (i.e. abstract) setting. In particular, the author develops theories of partiality and recursive types and applies them to the study of the metalanguage FPC; for example, enriched categorical models of the FPC are defined. Furthermore, FPC is considered as a programming language with a call-by-value operational semantics and a denotational semantics defined on top of a categorical model. To conclude, for an axiomatisation of absolute non-trivial domain-theoretic models of FPC, operational and denotational semantics are related by means of computational soundness and adequacy results. To make the book reasonably self-contained, the author includes an introduction to enriched category theory.

Synopsis:

First systematic account of axiomatic categorical domain theory and functional programming.

Table of Contents

1. Introduction; 2. Categorical preliminaries; 3. Partiality; 4. Order-enriched categories of partial maps; 5. Data types; 6. Recursive types; 7. Recursive types in Cpo-categories; 8. FPC; 9. Computational soundness and adequacy; 10. Summary and future research; Appendices; References; Indices.

Product Details

ISBN:
9780521602778
Other:
Fiore, Marcelo P.
Publisher:
Cambridge University Press
Other:
Fiore, Marcelo P.
Author:
Fiore, Marcelo P.
Location:
Cambridge
Subject:
Programming - General
Subject:
Programming - Software Development
Subject:
Discrete Mathematics
Subject:
Programming languages (electronic computers)
Subject:
Axiomatic set theory
Subject:
Functional programming languages
Subject:
Programming languages (Electronic computers) -- Semantics.
Subject:
General Computers
Subject:
Programming Languages - General
Subject:
Software Development & Engineering - General
Subject:
Software Engineering-General
Edition Description:
Trade paper
Series:
Distinguished Dissertations in Computer Science
Series Volume:
14
Publication Date:
20040331
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
256
Dimensions:
7.44x9.68x.53 in. 1.02 lbs.

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Axiomatic Domain Theory in Categories of Partial Maps New Trade Paper
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Product details 256 pages Cambridge University Press - English 9780521602778 Reviews:
"Synopsis" by , First systematic account of axiomatic categorical domain theory and functional programming.
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