This textbook provides a basis for a PhD course on domain-theoretic semantics of functional programming languages and their meta-mathematical properties. It introduces basic domain theory and the technique of logical relations as developed by Scott and Plotkin. The solution of recursive domain equations is explained in detail.A complete discussion of the famous full abstraction problem for PCF (a functional Kernel language due to Scott and Plotkin) is given including a construction of the fully abstract Milner model using Kripke logical relations.A final chapter introduces computability in Scott domains and shows that this model is fully abstract and universal for appropriate extensions of PCF by parallel language constructs.

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Bibliographic Details

Title: Domain-theoretic Foundations Of Functional Programming
Publisher: World Scientific Publishing Co Pte Ltd, SG
Publication Date: 2006
Language: English
ISBN 10: 9812701427
ISBN 13: 9789812701428
Binding: Hardback
Edition: Illustrated.
Condition: New
Dimensions: 16.41 centimeters width by 1.42 centimeters height by 23.42 centimeters depth
Weight: 386 grams

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A complete discussion of the famous full abstraction problem for PCF (a functional Kernel language due to Scott and Plotkin) is given including a construction of the fully abstract Milner model using Kripke logical relations.

A final chapter introduces computability in Scott domains and shows that this model is fully abstract and universal for appropriate extensions of PCF by parallel language constructs.

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