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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.
- Published on: 2011-11-05
- Binding: Printed Access Code
Review
"...the book is well written and will be clear to readers with sufficient mathematical maturity." Computing Reviews
"...fills a gap in the literature, giving us a wide perspective of the development of domain theory...self-contained and amazingly clear in many respects...an excellent survey, and recommended reading, for those who have been exposed to the subject and seek a good technical introduction to advanced topics..." Mathematical Reviews
About the Author
Amadio-Universite de Provence, Marseille
Curien-ENS, Paris
Most helpful customer reviews
1 of 15 people found the following review helpful.
A near Psychotic Break-7 on the Ritcher Scale
By Donald Levine
Written by two psychotic professors who are experts in the field. The book, though written for mature readers , is lucid and leads the reader scenically to thre climax on Process Algebras. The book is a bit disjointed though. In Theoretical Computer Science, where the more general a "general emotional disturbance" is the better, I suggest that the authors should have had worsened their illness somwhat (I am being funny now!) by utilizing Category Theory, Domain Equations, and Universal Algebra as a unifying framework for the topics in the rest of the book. Also, they should have ncluded more on Category Theory and in particular, Domain Equations in this book. They should had shown the interrelationships between the three frameworks as well: the book would have been lengthened somewhat but more complete.
Although I am just about to read the book, I feel I am mature enough to follow where a Math book is going upon looking through it in sequence.
I am an undergrad at CUNY Bachelaureate Program Queens College Math Department who is trying not to be arrogant.
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