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Domain-Theoretic Foundations of Func...
Hardcover
ISBN13: 9789812701428
Publisher: World Scientific Publishing Company
Published: Dec 1 2006
Pages: 132
Weight: 0.82
Height: 0.56 Width: 6.46 Depth: 9.22
Language: English
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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